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2017 | OriginalPaper | Buchkapitel

Rough Sets in Machine Learning: A Review

verfasst von : Rafael Bello, Rafael Falcon

Erschienen in: Thriving Rough Sets

Verlag: Springer International Publishing

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Abstract

This chapter emphasizes on the role played by rough set theory (RST) within the broad field of Machine Learning (ML). As a sound data analysis and knowledge discovery paradigm, RST has much to offer to the ML community. We surveyed the existing literature and reported on the most relevant RST theoretical developments and applications in this area. The review starts with RST in the context of data preprocessing (discretization, feature selection, instance selection and meta-learning) as well as the generation of both descriptive and predictive knowledge via decision rule induction, association rule mining and clustering. Afterward, we examined several special ML scenarios in which RST has been recently introduced, such as imbalanced classification, multi-label classification, dynamic/incremental learning, Big Data analysis and cost-sensitive learning.

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Literatur
1.
Zurück zum Zitat Abraham, A., Falcon, R., Bello, R.: Rough Set Theory: A True Landmark in Data Analysis. Springer, Berlin, Germany (2009)MATHCrossRef Abraham, A., Falcon, R., Bello, R.: Rough Set Theory: A True Landmark in Data Analysis. Springer, Berlin, Germany (2009)MATHCrossRef
2.
Zurück zum Zitat Bai, H., Ge, Y., Wang, J., Li, D., Liao, Y., Zheng, X.: A method for extracting rules from spatial data based on rough fuzzy sets. Knowl. Based Syst. 57, 28–40 (2014)CrossRef Bai, H., Ge, Y., Wang, J., Li, D., Liao, Y., Zheng, X.: A method for extracting rules from spatial data based on rough fuzzy sets. Knowl. Based Syst. 57, 28–40 (2014)CrossRef
3.
Zurück zum Zitat Bal, M.: Rough sets theory as symbolic data mining method: an application on complete decision table. Inf. Sci. Lett. 2(1), 111–116 (2013)CrossRef Bal, M.: Rough sets theory as symbolic data mining method: an application on complete decision table. Inf. Sci. Lett. 2(1), 111–116 (2013)CrossRef
4.
Zurück zum Zitat Bang, W.C., Bien, Z.: New incremental learning algorithm in the framework of rough set theory. Int. J. Fuzzy Syst. 1, 25–36 (1999)MathSciNet Bang, W.C., Bien, Z.: New incremental learning algorithm in the framework of rough set theory. Int. J. Fuzzy Syst. 1, 25–36 (1999)MathSciNet
5.
Zurück zum Zitat Bazan, J.G.: A comparison of dynamic and non-dynamic rough set methods for extracting laws from decision tables. Rough Sets Knowl Discovery 1, 321–365 (1998)MATH Bazan, J.G.: A comparison of dynamic and non-dynamic rough set methods for extracting laws from decision tables. Rough Sets Knowl Discovery 1, 321–365 (1998)MATH
6.
Zurück zum Zitat Bazan, J.G., Nguyen, H.S., Nguyen, S.H., Synak, P., Wróblewski, J.: Rough set algorithms in classification problem. In: Rough Set Methods and Applications, pp. 49–88. Springer (2000) Bazan, J.G., Nguyen, H.S., Nguyen, S.H., Synak, P., Wróblewski, J.: Rough set algorithms in classification problem. In: Rough Set Methods and Applications, pp. 49–88. Springer (2000)
7.
Zurück zum Zitat Bello, R., Falcon, R., Pedrycz, W., Kacprzyk, J.: Granular Computing: At the Junction of Rough Sets and Fuzzy Sets. Springer, Berlin, Germany (2008)MATHCrossRef Bello, R., Falcon, R., Pedrycz, W., Kacprzyk, J.: Granular Computing: At the Junction of Rough Sets and Fuzzy Sets. Springer, Berlin, Germany (2008)MATHCrossRef
8.
Zurück zum Zitat Bello, R., Gómez, Y., Caballero, Y., Nowe, A., Falcon, R.: Rough sets and evolutionary computation to solve the feature selection problem. In: Abraham, A., Falcon, R., Bello, R. (eds.) Rough Set Theory: A True Landmark in Data Analysis. Studies in Computational Intelligence, vol. 174, pp. 235–260. Springer, Berlin (2009)CrossRef Bello, R., Gómez, Y., Caballero, Y., Nowe, A., Falcon, R.: Rough sets and evolutionary computation to solve the feature selection problem. In: Abraham, A., Falcon, R., Bello, R. (eds.) Rough Set Theory: A True Landmark in Data Analysis. Studies in Computational Intelligence, vol. 174, pp. 235–260. Springer, Berlin (2009)CrossRef
9.
Zurück zum Zitat Bello, R., Nowe, A., Gómez, Y., Caballero, Y.: Using ACO and rough set theory to feature selection. WSEAS Trans. Inf. Sci. Appl. 2(5), 512–517 (2005) Bello, R., Nowe, A., Gómez, Y., Caballero, Y.: Using ACO and rough set theory to feature selection. WSEAS Trans. Inf. Sci. Appl. 2(5), 512–517 (2005)
10.
Zurück zum Zitat Bello, R., Puris, A., Falcon, R., Gómez, Y.: Feature selection through dynamic mesh optimization. In: Ruiz-Shulcloper, J., Kropatsch, W. (eds.) Progress in Pattern Recognition, Image Analysis and Applications. Lecture Notes in Computer Science, vol. 5197, pp. 348–355. Springer, Berlin (2008)CrossRef Bello, R., Puris, A., Falcon, R., Gómez, Y.: Feature selection through dynamic mesh optimization. In: Ruiz-Shulcloper, J., Kropatsch, W. (eds.) Progress in Pattern Recognition, Image Analysis and Applications. Lecture Notes in Computer Science, vol. 5197, pp. 348–355. Springer, Berlin (2008)CrossRef
11.
Zurück zum Zitat Bello, R., Puris, A., Nowe, A., Martínez, Y., García, M.M.: Two step ant colony system to solve the feature selection problem. In: Iberoamerican Congress on Pattern Recognition, pp. 588–596. Springer (2006) Bello, R., Puris, A., Nowe, A., Martínez, Y., García, M.M.: Two step ant colony system to solve the feature selection problem. In: Iberoamerican Congress on Pattern Recognition, pp. 588–596. Springer (2006)
12.
13.
Zurück zum Zitat Bhatt, R.B., Gopal, M.: On fuzzy-rough sets approach to feature selection. Pattern Recogn. Lett. 26(7), 965–975 (2005)CrossRef Bhatt, R.B., Gopal, M.: On fuzzy-rough sets approach to feature selection. Pattern Recogn. Lett. 26(7), 965–975 (2005)CrossRef
14.
Zurück zum Zitat Błaszczyński, J., Słowiński, R., Szelkag, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf. Sci. 181(5), 987–1002 (2011)MathSciNetCrossRef Błaszczyński, J., Słowiński, R., Szelkag, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf. Sci. 181(5), 987–1002 (2011)MathSciNetCrossRef
15.
Zurück zum Zitat Caballero, Y., Bello, R., Alvarez, D., Garcia, M.M.: Two new feature selection algorithms with rough sets theory. In: IFIP International Conference on Artificial Intelligence in Theory and Practice, pp. 209–216. Springer (2006) Caballero, Y., Bello, R., Alvarez, D., Garcia, M.M.: Two new feature selection algorithms with rough sets theory. In: IFIP International Conference on Artificial Intelligence in Theory and Practice, pp. 209–216. Springer (2006)
16.
Zurück zum Zitat Caballero, Y., Bello, R., Alvarez, D., Gareia, M.M., Pizano, Y.: Improving the k-nn method: rough set in edit training set. In: Professional Practice in Artificial Intelligence, pp. 21–30. Springer (2006) Caballero, Y., Bello, R., Alvarez, D., Gareia, M.M., Pizano, Y.: Improving the k-nn method: rough set in edit training set. In: Professional Practice in Artificial Intelligence, pp. 21–30. Springer (2006)
17.
Zurück zum Zitat Caballero, Y., Bello, R., Arco, L., García, M., Ramentol, E.: Knowledge discovery using rough set theory. In: Advances in Machine Learning I, pp. 367–383. Springer (2010) Caballero, Y., Bello, R., Arco, L., García, M., Ramentol, E.: Knowledge discovery using rough set theory. In: Advances in Machine Learning I, pp. 367–383. Springer (2010)
18.
Zurück zum Zitat Caballero, Y., Bello, R., Arco, L., Márquez, Y., León, P., García, M.M., Casas, G.: Rough set theory measures for quality assessment of a training set. In: Granular Computing: At the Junction of Rough Sets and Fuzzy Sets, pp. 199–210. Springer (2008) Caballero, Y., Bello, R., Arco, L., Márquez, Y., León, P., García, M.M., Casas, G.: Rough set theory measures for quality assessment of a training set. In: Granular Computing: At the Junction of Rough Sets and Fuzzy Sets, pp. 199–210. Springer (2008)
19.
Zurück zum Zitat Caballero, Y., Joseph, S., Lezcano, Y., Bello, R., Garcia, M.M., Pizano, Y.: Using rough sets to edit training set in k-nn method. In: ISDA, pp. 456–463 (2005) Caballero, Y., Joseph, S., Lezcano, Y., Bello, R., Garcia, M.M., Pizano, Y.: Using rough sets to edit training set in k-nn method. In: ISDA, pp. 456–463 (2005)
20.
Zurück zum Zitat Chan, C.C.: A rough set approach to attribute generalization in data mining. Inf. Sci. 107(1), 169–176 (1998)MathSciNetCrossRef Chan, C.C.: A rough set approach to attribute generalization in data mining. Inf. Sci. 107(1), 169–176 (1998)MathSciNetCrossRef
21.
Zurück zum Zitat Chawla, N.V.: Data mining for imbalanced datasets: an overview. In: Data Mining and Knowledge Discovery Handbook, pp. 853–867. Springer (2005) Chawla, N.V.: Data mining for imbalanced datasets: an overview. In: Data Mining and Knowledge Discovery Handbook, pp. 853–867. Springer (2005)
22.
Zurück zum Zitat Chawla, N.V., Bowyer, K.W., Hall, L.O., Kegelmeyer, W.P.: Smote: synthetic minority over-sampling technique. J. Artif. Intell. Res. 16, 321–357 (2002)MATH Chawla, N.V., Bowyer, K.W., Hall, L.O., Kegelmeyer, W.P.: Smote: synthetic minority over-sampling technique. J. Artif. Intell. Res. 16, 321–357 (2002)MATH
23.
Zurück zum Zitat Chawla, N.V., Cieslak, D.A., Hall, L.O., Joshi, A.: Automatically countering imbalance and its empirical relationship to cost. Data Min. Knowl. Discovery 17(2), 225–252 (2008)MathSciNetCrossRef Chawla, N.V., Cieslak, D.A., Hall, L.O., Joshi, A.: Automatically countering imbalance and its empirical relationship to cost. Data Min. Knowl. Discovery 17(2), 225–252 (2008)MathSciNetCrossRef
24.
Zurück zum Zitat Chen, C., Mac Parthaláin, N., Li, Y., Price, C., Quek, C., Shen, Q.: Rough-fuzzy rule interpolation. Inf. Sci. 351, 1–17 (2016)MathSciNetCrossRef Chen, C., Mac Parthaláin, N., Li, Y., Price, C., Quek, C., Shen, Q.: Rough-fuzzy rule interpolation. Inf. Sci. 351, 1–17 (2016)MathSciNetCrossRef
25.
Zurück zum Zitat Chen, C.P., Zhang, C.Y.: Data-intensive applications, challenges, techniques and technologies: a survey on big data. Inf. Sci. 275, 314–347 (2014)CrossRef Chen, C.P., Zhang, C.Y.: Data-intensive applications, challenges, techniques and technologies: a survey on big data. Inf. Sci. 275, 314–347 (2014)CrossRef
26.
Zurück zum Zitat Chen, C.Y., Li, Z.G., Qiao, S.Y., Wen, S.P.: Study on discretization in rough set based on genetic algorithm. In: 2003 International Conference on Machine Learning and Cybernetics, vol. 3, pp. 1430–1434. IEEE (2003) Chen, C.Y., Li, Z.G., Qiao, S.Y., Wen, S.P.: Study on discretization in rough set based on genetic algorithm. In: 2003 International Conference on Machine Learning and Cybernetics, vol. 3, pp. 1430–1434. IEEE (2003)
27.
Zurück zum Zitat Chen, D., Hu, Q., Yang, Y.: Parameterized attribute reduction with gaussian kernel based fuzzy rough sets. Inf. Sci. 181(23), 5169–5179 (2011)MATHCrossRef Chen, D., Hu, Q., Yang, Y.: Parameterized attribute reduction with gaussian kernel based fuzzy rough sets. Inf. Sci. 181(23), 5169–5179 (2011)MATHCrossRef
28.
Zurück zum Zitat Chen, D., Zhang, L., Zhao, S., Hu, Q., Zhu, P.: A novel algorithm for finding reducts with fuzzy rough sets. IEEE Trans. Fuzzy Syst. 20(2), 385–389 (2012)CrossRef Chen, D., Zhang, L., Zhao, S., Hu, Q., Zhu, P.: A novel algorithm for finding reducts with fuzzy rough sets. IEEE Trans. Fuzzy Syst. 20(2), 385–389 (2012)CrossRef
29.
Zurück zum Zitat Chen, H., Chiang, R.H., Storey, V.C.: Business intelligence and analytics: from big data to big impact. MIS Q. 36(4), 1165–1188 (2012) Chen, H., Chiang, R.H., Storey, V.C.: Business intelligence and analytics: from big data to big impact. MIS Q. 36(4), 1165–1188 (2012)
30.
Zurück zum Zitat Chen, H., Li, T., Qiao, S., Ruan, D.: A rough set based dynamic maintenance approach for approximations in coarsening and refining attribute values. Int. J. Intell. Syst. 25(10), 1005–1026 (2010)MATHCrossRef Chen, H., Li, T., Qiao, S., Ruan, D.: A rough set based dynamic maintenance approach for approximations in coarsening and refining attribute values. Int. J. Intell. Syst. 25(10), 1005–1026 (2010)MATHCrossRef
31.
Zurück zum Zitat Chen, H., Li, T., Ruan, D.: Dynamic maintenance of approximations under a rough-set based variable precision limited tolerance relation. J. Multiple-Valued Log. Soft Comput. 18 (2012) Chen, H., Li, T., Ruan, D.: Dynamic maintenance of approximations under a rough-set based variable precision limited tolerance relation. J. Multiple-Valued Log. Soft Comput. 18 (2012)
32.
Zurück zum Zitat Chen, H., Li, T., Ruan, D.: Maintenance of approximations in incomplete ordered decision systems while attribute values coarsening or refining. Knowl. Based Syst. 31, 140–161 (2012)CrossRef Chen, H., Li, T., Ruan, D.: Maintenance of approximations in incomplete ordered decision systems while attribute values coarsening or refining. Knowl. Based Syst. 31, 140–161 (2012)CrossRef
33.
Zurück zum Zitat Chen, H., Li, T., Ruan, D., Lin, J., Hu, C.: A rough-set-based incremental approach for updating approximations under dynamic maintenance environments. IEEE Trans. Knowl. Data Eng. 25(2), 274–284 (2013)CrossRef Chen, H., Li, T., Ruan, D., Lin, J., Hu, C.: A rough-set-based incremental approach for updating approximations under dynamic maintenance environments. IEEE Trans. Knowl. Data Eng. 25(2), 274–284 (2013)CrossRef
34.
Zurück zum Zitat Chen, Y.S., Cheng, C.H.: A delphi-based rough sets fusion model for extracting payment rules of vehicle license tax in the government sector. Expert Syst. Appl. 37(3), 2161–2174 (2010)CrossRef Chen, Y.S., Cheng, C.H.: A delphi-based rough sets fusion model for extracting payment rules of vehicle license tax in the government sector. Expert Syst. Appl. 37(3), 2161–2174 (2010)CrossRef
35.
Zurück zum Zitat Cheng, X., Wu, R.: Clustering path profiles on a website using rough k-means method. J. Comput. Inf. Syst. 8(14), 6009–6016 (2012) Cheng, X., Wu, R.: Clustering path profiles on a website using rough k-means method. J. Comput. Inf. Syst. 8(14), 6009–6016 (2012)
36.
Zurück zum Zitat Cheng, Y.: The incremental method for fast computing the rough fuzzy approximations. Data Knowl. Eng. 70(1), 84–100 (2011)CrossRef Cheng, Y.: The incremental method for fast computing the rough fuzzy approximations. Data Knowl. Eng. 70(1), 84–100 (2011)CrossRef
37.
Zurück zum Zitat Choubey, S.K., Deogun, J.S., Raghavan, V.V., Sever, H.: A comparison of feature selection algorithms in the context of rough classifiers. In: Proceedings of the Fifth IEEE International Conference on Fuzzy Systems, 1996, vol. 2, pp. 1122–1128. IEEE (1996) Choubey, S.K., Deogun, J.S., Raghavan, V.V., Sever, H.: A comparison of feature selection algorithms in the context of rough classifiers. In: Proceedings of the Fifth IEEE International Conference on Fuzzy Systems, 1996, vol. 2, pp. 1122–1128. IEEE (1996)
38.
Zurück zum Zitat Chouchoulas, A., Shen, Q.: A rough set-based approach to text classification. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 118–127. Springer (1999) Chouchoulas, A., Shen, Q.: A rough set-based approach to text classification. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 118–127. Springer (1999)
39.
Zurück zum Zitat Ciucci, D.: Attribute dynamics in rough sets. In: International Symposium on Methodologies for Intelligent Systems, pp. 43–51. Springer (2011) Ciucci, D.: Attribute dynamics in rough sets. In: International Symposium on Methodologies for Intelligent Systems, pp. 43–51. Springer (2011)
40.
Zurück zum Zitat Ciucci, D.: Temporal dynamics in information tables. Fundamenta Informaticae 115(1), 57–74 (2012)MathSciNetMATH Ciucci, D.: Temporal dynamics in information tables. Fundamenta Informaticae 115(1), 57–74 (2012)MathSciNetMATH
41.
Zurück zum Zitat Coello, L., Fernandez, Y., Filiberto, Y., Bello, R.: Improving the multilayer perceptron learning by using a method to calculate the initial weights with the similarity quality measure based on fuzzy sets and particle swarms. Computación y Sistemas 19(2), 309–320 (2015)CrossRef Coello, L., Fernandez, Y., Filiberto, Y., Bello, R.: Improving the multilayer perceptron learning by using a method to calculate the initial weights with the similarity quality measure based on fuzzy sets and particle swarms. Computación y Sistemas 19(2), 309–320 (2015)CrossRef
42.
Zurück zum Zitat Cornelis, C., Jensen, R.: A noise-tolerant approach to fuzzy-rough feature selection. In: IEEE International Conference on Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence), pp. 1598–1605. IEEE (2008) Cornelis, C., Jensen, R.: A noise-tolerant approach to fuzzy-rough feature selection. In: IEEE International Conference on Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence), pp. 1598–1605. IEEE (2008)
43.
Zurück zum Zitat Cornelis, C., Jensen, R., Hurtado, G., Śle, D., et al.: Attribute selection with fuzzy decision reducts. Inf. Sci. 180(2), 209–224 (2010)MathSciNetMATHCrossRef Cornelis, C., Jensen, R., Hurtado, G., Śle, D., et al.: Attribute selection with fuzzy decision reducts. Inf. Sci. 180(2), 209–224 (2010)MathSciNetMATHCrossRef
44.
Zurück zum Zitat Cornelis, C., Verbiest, N., Jensen, R.: Ordered weighted average based fuzzy rough sets. In: International Conference on Rough Sets and Knowledge Technology, pp. 78–85. Springer (2010) Cornelis, C., Verbiest, N., Jensen, R.: Ordered weighted average based fuzzy rough sets. In: International Conference on Rough Sets and Knowledge Technology, pp. 78–85. Springer (2010)
45.
Zurück zum Zitat Crespo, F., Peters, G., Weber, R.: Rough clustering approaches for dynamic environments. In: Rough Sets: Selected Methods and Applications in Management and Engineering, pp. 39–50. Springer (2012) Crespo, F., Peters, G., Weber, R.: Rough clustering approaches for dynamic environments. In: Rough Sets: Selected Methods and Applications in Management and Engineering, pp. 39–50. Springer (2012)
46.
Zurück zum Zitat Dai, J.H., Li, Y.X.: Study on discretization based on rough set theory. In: 2002 International Conference on Machine Learning and Cybernetics, 2002. Proceedings, vol. 3, pp. 1371–1373. IEEE (2002) Dai, J.H., Li, Y.X.: Study on discretization based on rough set theory. In: 2002 International Conference on Machine Learning and Cybernetics, 2002. Proceedings, vol. 3, pp. 1371–1373. IEEE (2002)
47.
Zurück zum Zitat De Comité, F., Gilleron, R., Tommasi, M.: Learning multi-label alternating decision trees from texts and data. In: International Workshop on Machine Learning and Data Mining in Pattern Recognition, pp. 35–49. Springer (2003) De Comité, F., Gilleron, R., Tommasi, M.: Learning multi-label alternating decision trees from texts and data. In: International Workshop on Machine Learning and Data Mining in Pattern Recognition, pp. 35–49. Springer (2003)
48.
Zurück zum Zitat Dean, J., Ghemawat, S.: Mapreduce: simplified data processing on large clusters. Commun. ACM 51(1), 107–113 (2008)CrossRef Dean, J., Ghemawat, S.: Mapreduce: simplified data processing on large clusters. Commun. ACM 51(1), 107–113 (2008)CrossRef
49.
Zurück zum Zitat Delic, D., Lenz, H.J., Neiling, M.: Improving the quality of association rule mining by means of rough sets. In: Soft Methods in Probability, Statistics and Data Analysis, pp. 281–288. Springer (2002) Delic, D., Lenz, H.J., Neiling, M.: Improving the quality of association rule mining by means of rough sets. In: Soft Methods in Probability, Statistics and Data Analysis, pp. 281–288. Springer (2002)
50.
Zurück zum Zitat Deng, D., Huang, H.: Dynamic reduction based on rough sets in incomplete decision systems. In: International Conference on Rough Sets and Knowledge Technology, pp. 76–83. Springer (2007) Deng, D., Huang, H.: Dynamic reduction based on rough sets in incomplete decision systems. In: International Conference on Rough Sets and Knowledge Technology, pp. 76–83. Springer (2007)
51.
Zurück zum Zitat Derrac, J., Cornelis, C., García, S., Herrera, F.: Enhancing evolutionary instance selection algorithms by means of fuzzy rough set based feature selection. Inf. Sci. 186(1), 73–92 (2012)CrossRef Derrac, J., Cornelis, C., García, S., Herrera, F.: Enhancing evolutionary instance selection algorithms by means of fuzzy rough set based feature selection. Inf. Sci. 186(1), 73–92 (2012)CrossRef
52.
Zurück zum Zitat Dey, P., Dey, S., Datta, S., Sil, J.: Dynamic discreduction using rough sets. Appl. Soft Comput. 11(5), 3887–3897 (2011)CrossRef Dey, P., Dey, S., Datta, S., Sil, J.: Dynamic discreduction using rough sets. Appl. Soft Comput. 11(5), 3887–3897 (2011)CrossRef
53.
Zurück zum Zitat Dougherty, J., Kohavi, R., Sahami, M., et al.: Supervised and unsupervised discretization of continuous features. Machine Learning: Proceedings of the Twelfth International Conference 12, 194–202 (1995) Dougherty, J., Kohavi, R., Sahami, M., et al.: Supervised and unsupervised discretization of continuous features. Machine Learning: Proceedings of the Twelfth International Conference 12, 194–202 (1995)
54.
Zurück zum Zitat Dubois, D., Prade, H.: Twofold fuzzy sets and rough sets some issues in knowledge representation. Fuzzy Sets Syst. 23(1), 3–18 (1987)MathSciNetMATHCrossRef Dubois, D., Prade, H.: Twofold fuzzy sets and rough sets some issues in knowledge representation. Fuzzy Sets Syst. 23(1), 3–18 (1987)MathSciNetMATHCrossRef
55.
Zurück zum Zitat Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets*. Int. J. Gen. Syst. 17(2–3), 191–209 (1990)MATHCrossRef Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets*. Int. J. Gen. Syst. 17(2–3), 191–209 (1990)MATHCrossRef
56.
Zurück zum Zitat Falcon, R., Jeon, G., Bello, R., Jeong, J.: Rough clustering with partial supervision. In: Rough Set Theory: A True Landmark in Data Analysis, pp. 137–161. Springer (2009) Falcon, R., Jeon, G., Bello, R., Jeong, J.: Rough clustering with partial supervision. In: Rough Set Theory: A True Landmark in Data Analysis, pp. 137–161. Springer (2009)
57.
Zurück zum Zitat Falcon, R., Nayak, A., Abielmona, R.: An Online shadowed clustering algorithm applied to risk visualization in territorial security. In: IEEE Symposium on Computational Intelligence for Security and Defense Applications (CISDA), pp. 1–8. Ottawa, Canada (2012) Falcon, R., Nayak, A., Abielmona, R.: An Online shadowed clustering algorithm applied to risk visualization in territorial security. In: IEEE Symposium on Computational Intelligence for Security and Defense Applications (CISDA), pp. 1–8. Ottawa, Canada (2012)
58.
Zurück zum Zitat Fan, Y.N., Chern, C.C.: An agent model for incremental rough set-based rule induction: a Big Data analysis in sales promotion. In: 2013 46th Hawaii International Conference on System Sciences (HICSS), pp. 985–994. IEEE (2013) Fan, Y.N., Chern, C.C.: An agent model for incremental rough set-based rule induction: a Big Data analysis in sales promotion. In: 2013 46th Hawaii International Conference on System Sciences (HICSS), pp. 985–994. IEEE (2013)
59.
Zurück zum Zitat Fan, Y.N., Tseng, T.L.B., Chern, C.C., Huang, C.C.: Rule induction based on an incremental rough set. Expert Syst. Appl. 36(9), 11439–11450 (2009)CrossRef Fan, Y.N., Tseng, T.L.B., Chern, C.C., Huang, C.C.: Rule induction based on an incremental rough set. Expert Syst. Appl. 36(9), 11439–11450 (2009)CrossRef
60.
Zurück zum Zitat Fernández, A., del Río, S., López, V., Bawakid, A., del Jesus, M.J., Benítez, J.M., Herrera, F.: Big data with cloud computing: an insight on the computing environment, mapreduce, and programming frameworks. Wiley Interdisc. Rev. Data Min. Knowl. Discovery 4(5), 380–409 (2014) Fernández, A., del Río, S., López, V., Bawakid, A., del Jesus, M.J., Benítez, J.M., Herrera, F.: Big data with cloud computing: an insight on the computing environment, mapreduce, and programming frameworks. Wiley Interdisc. Rev. Data Min. Knowl. Discovery 4(5), 380–409 (2014)
61.
Zurück zum Zitat Filiberto, Y., Caballero, Y., Larrua, R., Bello, R.: A method to build similarity relations into extended rough set theory. In: 2010 10th International Conference on Intelligent Systems Design and Applications, pp. 1314–1319. IEEE (2010) Filiberto, Y., Caballero, Y., Larrua, R., Bello, R.: A method to build similarity relations into extended rough set theory. In: 2010 10th International Conference on Intelligent Systems Design and Applications, pp. 1314–1319. IEEE (2010)
62.
Zurück zum Zitat Filiberto Cabrera, Y., Caballero Mota, Y., Bello Pérez, R., Frías, M.: Algoritmo para el aprendizaje de reglas de clasificación basado en la teoría de los conjuntos aproximados extendida. Dyna; vol. 78, núm. 169 (2011); 62-70 DYNA; vol. 78, núm. 169 (2011); 62-70 2346-2183 0012-7353 (2011) Filiberto Cabrera, Y., Caballero Mota, Y., Bello Pérez, R., Frías, M.: Algoritmo para el aprendizaje de reglas de clasificación basado en la teoría de los conjuntos aproximados extendida. Dyna; vol. 78, núm. 169 (2011); 62-70 DYNA; vol. 78, núm. 169 (2011); 62-70 2346-2183 0012-7353 (2011)
63.
Zurück zum Zitat Gogoi, P., Bhattacharyya, D.K., Kalita, J.K.: A rough set-based effective rule generation method for classification with an application in intrusion detection. Int. J. Secur. Netw. 8(2), 61–71 (2013)CrossRef Gogoi, P., Bhattacharyya, D.K., Kalita, J.K.: A rough set-based effective rule generation method for classification with an application in intrusion detection. Int. J. Secur. Netw. 8(2), 61–71 (2013)CrossRef
64.
Zurück zum Zitat Gómez, Y., Bello, R., Puris, A., Garcia, M.M., Nowe, A.: Two step swarm intelligence to solve the feature selection problem. J. UCS 14(15), 2582–2596 (2008) Gómez, Y., Bello, R., Puris, A., Garcia, M.M., Nowe, A.: Two step swarm intelligence to solve the feature selection problem. J. UCS 14(15), 2582–2596 (2008)
65.
Zurück zum Zitat Greco, S., Matarazzo, B., Słowiński, R.: Parameterized rough set model using rough membership and bayesian confirmation measures. Int. J. Approximate Reasoning 49(2), 285–300 (2008)MathSciNetMATHCrossRef Greco, S., Matarazzo, B., Słowiński, R.: Parameterized rough set model using rough membership and bayesian confirmation measures. Int. J. Approximate Reasoning 49(2), 285–300 (2008)MathSciNetMATHCrossRef
66.
Zurück zum Zitat Greco, S., Słowiński, R., Stefanowski, J., Żurawski, M.: Incremental versus non-incremental rule induction for multicriteria classification. In: Transactions on Rough Sets II, pp. 33–53. Springer (2004) Greco, S., Słowiński, R., Stefanowski, J., Żurawski, M.: Incremental versus non-incremental rule induction for multicriteria classification. In: Transactions on Rough Sets II, pp. 33–53. Springer (2004)
67.
Zurück zum Zitat Grzymala-Busse, J.W.: LERS—a system for learning from examples based on rough sets. In: Intelligent decision support, pp. 3–18. Springer (1992) Grzymala-Busse, J.W.: LERS—a system for learning from examples based on rough sets. In: Intelligent decision support, pp. 3–18. Springer (1992)
68.
Zurück zum Zitat Grzymała-Busse, J.W.: Characteristic relations for incomplete data: A generalization of the indiscernibility relation. In: International Conference on Rough Sets and Current Trends in Computing, pp. 244–253. Springer (2004) Grzymała-Busse, J.W.: Characteristic relations for incomplete data: A generalization of the indiscernibility relation. In: International Conference on Rough Sets and Current Trends in Computing, pp. 244–253. Springer (2004)
69.
Zurück zum Zitat Grzymala-Busse, J.W., Grzymala-Busse, W.J.: Inducing better rule sets by adding missing attribute values. In: International Conference on Rough Sets and Current Trends in Computing, pp. 160–169. Springer (2008) Grzymala-Busse, J.W., Grzymala-Busse, W.J.: Inducing better rule sets by adding missing attribute values. In: International Conference on Rough Sets and Current Trends in Computing, pp. 160–169. Springer (2008)
70.
Zurück zum Zitat Guan, J., Bell, D.A., Liu, D.: The rough set approach to association rule mining. In: Third IEEE International Conference on Data Mining, 2003. ICDM 2003, pp. 529–532. IEEE (2003) Guan, J., Bell, D.A., Liu, D.: The rough set approach to association rule mining. In: Third IEEE International Conference on Data Mining, 2003. ICDM 2003, pp. 529–532. IEEE (2003)
71.
Zurück zum Zitat Hartigan, J.A., Wong, M.A.: Algorithm as 136: a k-means clustering algorithm. J. Roy. Stat. Soc. Ser. C (Appl. Stat.) 28(1), 100–108 (1979) Hartigan, J.A., Wong, M.A.: Algorithm as 136: a k-means clustering algorithm. J. Roy. Stat. Soc. Ser. C (Appl. Stat.) 28(1), 100–108 (1979)
72.
Zurück zum Zitat Hassanein, W., Elmelegy, A.A.: An algorithm for selecting clustering attribute using significance of attributes. Int. J. Database Theory Appl. 6(5), 53–66 (2013)CrossRef Hassanein, W., Elmelegy, A.A.: An algorithm for selecting clustering attribute using significance of attributes. Int. J. Database Theory Appl. 6(5), 53–66 (2013)CrossRef
73.
Zurück zum Zitat He, H., Chen, S., Li, K., Xu, X.: Incremental learning from stream data. IEEE Trans. Neural Netw. 22(12), 1901–1914 (2011)CrossRef He, H., Chen, S., Li, K., Xu, X.: Incremental learning from stream data. IEEE Trans. Neural Netw. 22(12), 1901–1914 (2011)CrossRef
74.
Zurück zum Zitat He, H., Min, F., Zhu, W.: Attribute reduction in test-cost-sensitive decision systems with common-test-costs. In: Proceedings of the 3rd International Conference on Machine Learning and Computing, vol. 1, pp. 432–436 (2011) He, H., Min, F., Zhu, W.: Attribute reduction in test-cost-sensitive decision systems with common-test-costs. In: Proceedings of the 3rd International Conference on Machine Learning and Computing, vol. 1, pp. 432–436 (2011)
75.
Zurück zum Zitat He, Q., Wu, C., Chen, D., Zhao, S.: Fuzzy rough set based attribute reduction for information systems with fuzzy decisions. Knowl. Based Syst. 24(5), 689–696 (2011)CrossRef He, Q., Wu, C., Chen, D., Zhao, S.: Fuzzy rough set based attribute reduction for information systems with fuzzy decisions. Knowl. Based Syst. 24(5), 689–696 (2011)CrossRef
76.
Zurück zum Zitat Herawan, T.: Rough set approach for categorical data clustering. Ph.D. thesis, Universiti Tun Hussein Onn Malaysia (2010) Herawan, T.: Rough set approach for categorical data clustering. Ph.D. thesis, Universiti Tun Hussein Onn Malaysia (2010)
77.
Zurück zum Zitat Herawan, T., Deris, M.M., Abawajy, J.H.: A rough set approach for selecting clustering attribute. Knowl. Based Syst. 23(3), 220–231 (2010)CrossRef Herawan, T., Deris, M.M., Abawajy, J.H.: A rough set approach for selecting clustering attribute. Knowl. Based Syst. 23(3), 220–231 (2010)CrossRef
78.
Zurück zum Zitat Hirano, S., Tsumoto, S.: Rough clustering and its application to medicine. J. Inf. Sci. 124, 125–137 (2000)CrossRef Hirano, S., Tsumoto, S.: Rough clustering and its application to medicine. J. Inf. Sci. 124, 125–137 (2000)CrossRef
79.
Zurück zum Zitat Ho, T.K., Basu, M.: Complexity measures of supervised classification problems. IEEE Trans. Pattern Anal. Mach. Intell. 24(3), 289–300 (2002)CrossRef Ho, T.K., Basu, M.: Complexity measures of supervised classification problems. IEEE Trans. Pattern Anal. Mach. Intell. 24(3), 289–300 (2002)CrossRef
80.
Zurück zum Zitat Hong, T.P., Tseng, L.H., Wang, S.L.: Learning rules from incomplete training examples by rough sets. Expert Syst. Appl. 22(4), 285–293 (2002)CrossRef Hong, T.P., Tseng, L.H., Wang, S.L.: Learning rules from incomplete training examples by rough sets. Expert Syst. Appl. 22(4), 285–293 (2002)CrossRef
82.
Zurück zum Zitat Hu, F., Wang, G., Huang, H., Wu, Y.: Incremental attribute reduction based on elementary sets. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 185–193. Springer (2005) Hu, F., Wang, G., Huang, H., Wu, Y.: Incremental attribute reduction based on elementary sets. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 185–193. Springer (2005)
83.
Zurück zum Zitat Hu, H., Shi, Z.: Machine learning as granular computing. In: IEEE International Conference on Granular Computing, 2009, GRC’09, pp. 229–234. IEEE (2009) Hu, H., Shi, Z.: Machine learning as granular computing. In: IEEE International Conference on Granular Computing, 2009, GRC’09, pp. 229–234. IEEE (2009)
84.
Zurück zum Zitat Hu, Q., Che, X., Zhang, L., Zhang, D., Guo, M., Yu, D.: Rank entropy-based decision trees for monotonic classification. IEEE Trans. Knowl. Data Eng. 24(11), 2052–2064 (2012)CrossRef Hu, Q., Che, X., Zhang, L., Zhang, D., Guo, M., Yu, D.: Rank entropy-based decision trees for monotonic classification. IEEE Trans. Knowl. Data Eng. 24(11), 2052–2064 (2012)CrossRef
85.
Zurück zum Zitat Hu, Q., Liu, J., Yu, D.: Mixed feature selection based on granulation and approximation. Knowl. Based Syst. 21(4), 294–304 (2008)CrossRef Hu, Q., Liu, J., Yu, D.: Mixed feature selection based on granulation and approximation. Knowl. Based Syst. 21(4), 294–304 (2008)CrossRef
86.
Zurück zum Zitat Hu, Q., Pan, W., Zhang, L., Zhang, D., Song, Y., Guo, M., Yu, D.: Feature selection for monotonic classification. IEEE Trans. Fuzzy Syst. 20(1), 69–81 (2012)CrossRef Hu, Q., Pan, W., Zhang, L., Zhang, D., Song, Y., Guo, M., Yu, D.: Feature selection for monotonic classification. IEEE Trans. Fuzzy Syst. 20(1), 69–81 (2012)CrossRef
87.
Zurück zum Zitat Hu, Q., Xie, Z., Yu, D.: Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recogn. 40(12), 3509–3521 (2007)MATHCrossRef Hu, Q., Xie, Z., Yu, D.: Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recogn. 40(12), 3509–3521 (2007)MATHCrossRef
88.
Zurück zum Zitat Hu, Q., Yu, D.: An improved clustering algorithm for information granulation. In: International Conference on Fuzzy Systems and Knowledge Discovery, pp. 494–504. Springer (2005) Hu, Q., Yu, D.: An improved clustering algorithm for information granulation. In: International Conference on Fuzzy Systems and Knowledge Discovery, pp. 494–504. Springer (2005)
89.
Zurück zum Zitat Hu, Q., Yu, D., Liu, J., Wu, C.: Neighborhood rough set based heterogeneous feature subset selection. Inf. Sci. 178(18), 3577–3594 (2008)MathSciNetMATHCrossRef Hu, Q., Yu, D., Liu, J., Wu, C.: Neighborhood rough set based heterogeneous feature subset selection. Inf. Sci. 178(18), 3577–3594 (2008)MathSciNetMATHCrossRef
90.
Zurück zum Zitat Hu, Q., Yu, D., Xie, Z.: Information-preserving hybrid data reduction based on fuzzy-rough techniques. Pattern Recogn. Lett. 27(5), 414–423 (2006)CrossRef Hu, Q., Yu, D., Xie, Z.: Information-preserving hybrid data reduction based on fuzzy-rough techniques. Pattern Recogn. Lett. 27(5), 414–423 (2006)CrossRef
91.
Zurück zum Zitat Hu, Q., Yu, D., Xie, Z., Liu, J.: Fuzzy probabilistic approximation spaces and their information measures. IEEE Trans. Fuzzy Syst. 14(2), 191–201 (2006)CrossRef Hu, Q., Yu, D., Xie, Z., Liu, J.: Fuzzy probabilistic approximation spaces and their information measures. IEEE Trans. Fuzzy Syst. 14(2), 191–201 (2006)CrossRef
92.
Zurück zum Zitat Hu, Q., Zhang, L., An, S., Zhang, D., Yu, D.: On robust fuzzy rough set models. IEEE Trans. Fuzzy Syst. 20(4), 636–651 (2012)CrossRef Hu, Q., Zhang, L., An, S., Zhang, D., Yu, D.: On robust fuzzy rough set models. IEEE Trans. Fuzzy Syst. 20(4), 636–651 (2012)CrossRef
93.
Zurück zum Zitat Huang, C.C., Tseng, T.L.B., Fan, Y.N., Hsu, C.H.: Alternative rule induction methods based on incremental object using rough set theory. Appl. Soft Comput. 13(1), 372–389 (2013)CrossRef Huang, C.C., Tseng, T.L.B., Fan, Y.N., Hsu, C.H.: Alternative rule induction methods based on incremental object using rough set theory. Appl. Soft Comput. 13(1), 372–389 (2013)CrossRef
94.
Zurück zum Zitat Huang, Z., Hu, Y.Q.: Applying AI technology and rough set theory to mine association rules for supporting knowledge management. In: 2003 International Conference on Machine Learning and Cybernetics, vol. 3, pp. 1820–1825. IEEE (2003) Huang, Z., Hu, Y.Q.: Applying AI technology and rough set theory to mine association rules for supporting knowledge management. In: 2003 International Conference on Machine Learning and Cybernetics, vol. 3, pp. 1820–1825. IEEE (2003)
95.
Zurück zum Zitat Hüllermeier, E.: Granular computing in machine learning and data mining. In: Handbook of Granular Computing, pp. 889–906 (2008) Hüllermeier, E.: Granular computing in machine learning and data mining. In: Handbook of Granular Computing, pp. 889–906 (2008)
96.
Zurück zum Zitat Jain, A.K., Murty, M.N., Flynn, P.J.: Data clustering: a review. ACM Comput. Surv. (CSUR) 31(3), 264–323 (1999)CrossRef Jain, A.K., Murty, M.N., Flynn, P.J.: Data clustering: a review. ACM Comput. Surv. (CSUR) 31(3), 264–323 (1999)CrossRef
97.
Zurück zum Zitat Janusz, A., Slezak, D.: Rough set methods for attribute clustering and selection. Appl. Artif. Intell. 28(3), 220–242 (2014)CrossRef Janusz, A., Slezak, D.: Rough set methods for attribute clustering and selection. Appl. Artif. Intell. 28(3), 220–242 (2014)CrossRef
98.
Zurück zum Zitat Janusz, A., Stawicki, S.: Applications of approximate reducts to the feature selection problem. In: International Conference on Rough Sets and Knowledge Technology, pp. 45–50. Springer (2011) Janusz, A., Stawicki, S.: Applications of approximate reducts to the feature selection problem. In: International Conference on Rough Sets and Knowledge Technology, pp. 45–50. Springer (2011)
99.
Zurück zum Zitat Jensen, R., Cornelis, C.: Fuzzy-rough instance selection. In: 2010 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 1–7. IEEE (2010) Jensen, R., Cornelis, C.: Fuzzy-rough instance selection. In: 2010 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 1–7. IEEE (2010)
100.
Zurück zum Zitat Jensen, R., Cornelis, C., Shen, Q.: Hybrid fuzzy-rough rule induction and feature selection. In: IEEE International Conference on Fuzzy Systems, 2009. FUZZ-IEEE 2009, pp. 1151–1156. IEEE (2009) Jensen, R., Cornelis, C., Shen, Q.: Hybrid fuzzy-rough rule induction and feature selection. In: IEEE International Conference on Fuzzy Systems, 2009. FUZZ-IEEE 2009, pp. 1151–1156. IEEE (2009)
101.
Zurück zum Zitat Jensen, R., Shen, Q.: Fuzzy-rough sets for descriptive dimensionality reduction. In: Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, 2002. FUZZ-IEEE’02, vol. 1, pp. 29–34. IEEE (2002) Jensen, R., Shen, Q.: Fuzzy-rough sets for descriptive dimensionality reduction. In: Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, 2002. FUZZ-IEEE’02, vol. 1, pp. 29–34. IEEE (2002)
102.
Zurück zum Zitat Jensen, R., Shen, Q.: Finding rough set reducts with ant colony optimization. In: Proceedings of the 2003 UK Workshop on Computational Intelligence, vol. 1, pp. 15–22 (2003) Jensen, R., Shen, Q.: Finding rough set reducts with ant colony optimization. In: Proceedings of the 2003 UK Workshop on Computational Intelligence, vol. 1, pp. 15–22 (2003)
103.
Zurück zum Zitat Jensen, R., Shen, Q.: Fuzzy-rough attribute reduction with application to web categorization. Fuzzy Sets Syst. 141(3), 469–485 (2004)MathSciNetMATHCrossRef Jensen, R., Shen, Q.: Fuzzy-rough attribute reduction with application to web categorization. Fuzzy Sets Syst. 141(3), 469–485 (2004)MathSciNetMATHCrossRef
104.
Zurück zum Zitat Jensen, R., Shen, Q.: Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans. Knowl. Data Eng. 16(12), 1457–1471 (2004)CrossRef Jensen, R., Shen, Q.: Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans. Knowl. Data Eng. 16(12), 1457–1471 (2004)CrossRef
105.
Zurück zum Zitat Jensen, R., Shen, Q.: New approaches to fuzzy-rough feature selection. IEEE Trans. Fuzzy Syst. 17(4), 824–838 (2009)CrossRef Jensen, R., Shen, Q.: New approaches to fuzzy-rough feature selection. IEEE Trans. Fuzzy Syst. 17(4), 824–838 (2009)CrossRef
106.
Zurück zum Zitat Jia, X., Liao, W., Tang, Z., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Inf. Sci. 219, 151–167 (2013)MathSciNetMATHCrossRef Jia, X., Liao, W., Tang, Z., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Inf. Sci. 219, 151–167 (2013)MathSciNetMATHCrossRef
107.
Zurück zum Zitat Jia, X., Shang, L., Zhou, B., Yao, Y.: Generalized attribute reduct in rough set theory. Knowl. Based Syst. 91, 204–218 (2016)CrossRef Jia, X., Shang, L., Zhou, B., Yao, Y.: Generalized attribute reduct in rough set theory. Knowl. Based Syst. 91, 204–218 (2016)CrossRef
108.
Zurück zum Zitat Jiang, F., Sui, Y., Cao, C.: Outlier detection based on rough membership function. In: International Conference on Rough Sets and Current Trends in Computing, pp. 388–397. Springer (2006) Jiang, F., Sui, Y., Cao, C.: Outlier detection based on rough membership function. In: International Conference on Rough Sets and Current Trends in Computing, pp. 388–397. Springer (2006)
109.
Zurück zum Zitat Jiang, F., Sui, Y., Cao, C.: Some issues about outlier detection in rough set theory. Expert Syst. Appl. 36(3), 4680–4687 (2009)CrossRef Jiang, F., Sui, Y., Cao, C.: Some issues about outlier detection in rough set theory. Expert Syst. Appl. 36(3), 4680–4687 (2009)CrossRef
110.
Zurück zum Zitat Jiang, Y.C., Liu, Y.Z., Liu, X., Zhang, J.K.: Constructing associative classifier using rough sets and evidence theory. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 263–271. Springer (2007) Jiang, Y.C., Liu, Y.Z., Liu, X., Zhang, J.K.: Constructing associative classifier using rough sets and evidence theory. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 263–271. Springer (2007)
111.
Zurück zum Zitat Jiao, X., Lian-cheng, X., Lin, Q.: Association rules mining algorithm based on rough set. In: International Symposium on Information Technology in Medicine and Education, Print ISBN, pp. 978–1 (2012) Jiao, X., Lian-cheng, X., Lin, Q.: Association rules mining algorithm based on rough set. In: International Symposium on Information Technology in Medicine and Education, Print ISBN, pp. 978–1 (2012)
112.
Zurück zum Zitat Joshi, P., Kulkarni, P.: Incremental learning: areas and methods—a survey. Int. J. Data Min. Knowl. Manage. Process 2(5), 43 (2012) Joshi, P., Kulkarni, P.: Incremental learning: areas and methods—a survey. Int. J. Data Min. Knowl. Manage. Process 2(5), 43 (2012)
113.
Zurück zum Zitat Ju, H., Yang, X., Song, X., Qi, Y.: Dynamic updating multigranulation fuzzy rough set: approximations and reducts. Int. J. Mach. Learn. Cybern. 5(6), 981–990 (2014)CrossRef Ju, H., Yang, X., Song, X., Qi, Y.: Dynamic updating multigranulation fuzzy rough set: approximations and reducts. Int. J. Mach. Learn. Cybern. 5(6), 981–990 (2014)CrossRef
114.
Zurück zum Zitat Ju, H., Yang, X., Yang, P., Li, H., Zhou, X.: A moderate attribute reduction approach in decision-theoretic rough set. In: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, pp. 376–388. Springer (2015) Ju, H., Yang, X., Yang, P., Li, H., Zhou, X.: A moderate attribute reduction approach in decision-theoretic rough set. In: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, pp. 376–388. Springer (2015)
115.
Zurück zum Zitat Ju, H., Yang, X., Yu, H., Li, T., Yu, D.J., Yang, J.: Cost-sensitive rough set approach. Inf. Sci. 355, 282–298 (2016)CrossRef Ju, H., Yang, X., Yu, H., Li, T., Yu, D.J., Yang, J.: Cost-sensitive rough set approach. Inf. Sci. 355, 282–298 (2016)CrossRef
116.
Zurück zum Zitat Jun, Z., Zhou, Y.H.: New heuristic method for data discretization based on rough set theory. J. China Univ. Posts Telecommun. 16(6), 113–120 (2009)CrossRef Jun, Z., Zhou, Y.H.: New heuristic method for data discretization based on rough set theory. J. China Univ. Posts Telecommun. 16(6), 113–120 (2009)CrossRef
117.
Zurück zum Zitat Kambatla, K., Kollias, G., Kumar, V., Grama, A.: Trends in big data analytics. J. Parallel Distrib. Comput. 74(7), 2561–2573 (2014)CrossRef Kambatla, K., Kollias, G., Kumar, V., Grama, A.: Trends in big data analytics. J. Parallel Distrib. Comput. 74(7), 2561–2573 (2014)CrossRef
118.
Zurück zum Zitat Kaneiwa, K.: A rough set approach to mining connections from information systems. In: Proceedings of the 2010 ACM Symposium on Applied Computing, pp. 990–996. ACM (2010) Kaneiwa, K.: A rough set approach to mining connections from information systems. In: Proceedings of the 2010 ACM Symposium on Applied Computing, pp. 990–996. ACM (2010)
119.
Zurück zum Zitat Ke, L., Feng, Z., Ren, Z.: An efficient ant colony optimization approach to attribute reduction in rough set theory. Pattern Recogn. Lett. 29(9), 1351–1357 (2008)CrossRef Ke, L., Feng, Z., Ren, Z.: An efficient ant colony optimization approach to attribute reduction in rough set theory. Pattern Recogn. Lett. 29(9), 1351–1357 (2008)CrossRef
120.
Zurück zum Zitat Komorowski, J., Pawlal, Z., Polkowski, L., Skowron, A.: A rough set perspective on data and knowledge. In: The Handbook of Data Mining and Knowledge Discovery. Oxford University Press, Oxford (1999) Komorowski, J., Pawlal, Z., Polkowski, L., Skowron, A.: A rough set perspective on data and knowledge. In: The Handbook of Data Mining and Knowledge Discovery. Oxford University Press, Oxford (1999)
122.
Zurück zum Zitat Kumar, P., Krishna, P.R., Bapi, R.S., De, S.K.: Rough clustering of sequential data. Data Knowl. Eng. 63(2), 183–199 (2007)CrossRef Kumar, P., Krishna, P.R., Bapi, R.S., De, S.K.: Rough clustering of sequential data. Data Knowl. Eng. 63(2), 183–199 (2007)CrossRef
123.
Zurück zum Zitat Kumar, P., Vadakkepat, P., Poh, L.A.: Fuzzy-rough discriminative feature selection and classification algorithm, with application to microarray and image datasets. Appl. Soft Comput. 11(4), 3429–3440 (2011)CrossRef Kumar, P., Vadakkepat, P., Poh, L.A.: Fuzzy-rough discriminative feature selection and classification algorithm, with application to microarray and image datasets. Appl. Soft Comput. 11(4), 3429–3440 (2011)CrossRef
124.
Zurück zum Zitat Kumar, P., Wasan, S.K.: Comparative study of k-means, pam and rough k-means algorithms using cancer datasets. In: Proceedings of CSIT: 2009 International Symposium on Computing, Communication, and Control (ISCCC 2009), vol. 1, pp. 136–140 (2011) Kumar, P., Wasan, S.K.: Comparative study of k-means, pam and rough k-means algorithms using cancer datasets. In: Proceedings of CSIT: 2009 International Symposium on Computing, Communication, and Control (ISCCC 2009), vol. 1, pp. 136–140 (2011)
125.
126.
Zurück zum Zitat Lai, J.Z., Juan, E.Y., Lai, F.J.: Rough clustering using generalized fuzzy clustering algorithm. Pattern Recogn. 46(9), 2538–2547 (2013)CrossRef Lai, J.Z., Juan, E.Y., Lai, F.J.: Rough clustering using generalized fuzzy clustering algorithm. Pattern Recogn. 46(9), 2538–2547 (2013)CrossRef
127.
Zurück zum Zitat Lee, S.C., Huang, M.J.: Applying ai technology and rough set theory for mining association rules to support crime management and fire-fighting resources allocation. J. Inf. Technol. Soc. 2(65), 65–78 (2002) Lee, S.C., Huang, M.J.: Applying ai technology and rough set theory for mining association rules to support crime management and fire-fighting resources allocation. J. Inf. Technol. Soc. 2(65), 65–78 (2002)
128.
Zurück zum Zitat Lenarcik, A., Piasta, Z.: Discretization of condition attributes space. In: Intelligent Decision Support, pp. 373–389. Springer (1992) Lenarcik, A., Piasta, Z.: Discretization of condition attributes space. In: Intelligent Decision Support, pp. 373–389. Springer (1992)
129.
Zurück zum Zitat Leung, Y., Fischer, M.M., Wu, W.Z., Mi, J.S.: A rough set approach for the discovery of classification rules in interval-valued information systems. Int. J. Approximate Reasoning 47(2), 233–246 (2008)MathSciNetMATHCrossRef Leung, Y., Fischer, M.M., Wu, W.Z., Mi, J.S.: A rough set approach for the discovery of classification rules in interval-valued information systems. Int. J. Approximate Reasoning 47(2), 233–246 (2008)MathSciNetMATHCrossRef
130.
Zurück zum Zitat Li, F., Ye, M., Chen, X.: An extension to rough c-means clustering based on decision-theoretic rough sets model. Int. J. Approximate Reasoning 55(1), 116–129 (2014)MathSciNetMATHCrossRef Li, F., Ye, M., Chen, X.: An extension to rough c-means clustering based on decision-theoretic rough sets model. Int. J. Approximate Reasoning 55(1), 116–129 (2014)MathSciNetMATHCrossRef
131.
Zurück zum Zitat Li, H., Li, D., Zhai, Y., Wang, S., Zhang, J.: A variable precision attribute reduction approach in multilabel decision tables. Sci. World J. 2014 (2014) Li, H., Li, D., Zhai, Y., Wang, S., Zhang, J.: A variable precision attribute reduction approach in multilabel decision tables. Sci. World J. 2014 (2014)
132.
Zurück zum Zitat Li, H., Zhang, L., Huang, B., Zhou, X.: Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl. Based Syst. 91, 241–251 (2016)CrossRef Li, H., Zhang, L., Huang, B., Zhou, X.: Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl. Based Syst. 91, 241–251 (2016)CrossRef
133.
Zurück zum Zitat Li, H., Zhou, X., Zhao, J., Liu, D.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundamenta Informaticae 126(4), 415–432 (2013)MathSciNetMATH Li, H., Zhou, X., Zhao, J., Liu, D.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundamenta Informaticae 126(4), 415–432 (2013)MathSciNetMATH
134.
Zurück zum Zitat Li, J., Cercone, N.: A rough set based model to rank the importance of association rules. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 109–118. Springer (2005) Li, J., Cercone, N.: A rough set based model to rank the importance of association rules. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 109–118. Springer (2005)
135.
Zurück zum Zitat Li, M., Deng, S., Wang, L., Feng, S., Fan, J.: Hierarchical clustering algorithm for categorical data using a probabilistic rough set model. Knowl. Based Syst. 65, 60–71 (2014)CrossRef Li, M., Deng, S., Wang, L., Feng, S., Fan, J.: Hierarchical clustering algorithm for categorical data using a probabilistic rough set model. Knowl. Based Syst. 65, 60–71 (2014)CrossRef
136.
Zurück zum Zitat Li, M., Shang, C., Feng, S., Fan, J.: Quick attribute reduction in inconsistent decision tables. Inf. Sci. 254, 155–180 (2014)MathSciNetMATHCrossRef Li, M., Shang, C., Feng, S., Fan, J.: Quick attribute reduction in inconsistent decision tables. Inf. Sci. 254, 155–180 (2014)MathSciNetMATHCrossRef
137.
Zurück zum Zitat Li, S., Li, T., Liu, D.: Dynamic maintenance of approximations in dominance-based rough set approach under the variation of the object set. Int. J. Intell. Syst. 28(8), 729–751 (2013)MathSciNetCrossRef Li, S., Li, T., Liu, D.: Dynamic maintenance of approximations in dominance-based rough set approach under the variation of the object set. Int. J. Intell. Syst. 28(8), 729–751 (2013)MathSciNetCrossRef
138.
Zurück zum Zitat Li, S., Li, T., Liu, D.: Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set. Knowl. Based Syst. 40, 17–26 (2013)CrossRef Li, S., Li, T., Liu, D.: Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set. Knowl. Based Syst. 40, 17–26 (2013)CrossRef
139.
Zurück zum Zitat Li, T., Ruan, D., Geert, W., Song, J., Xu, Y.: A rough sets based characteristic relation approach for dynamic attribute generalization in data mining. Knowl. Based Syst. 20(5), 485–494 (2007)CrossRef Li, T., Ruan, D., Geert, W., Song, J., Xu, Y.: A rough sets based characteristic relation approach for dynamic attribute generalization in data mining. Knowl. Based Syst. 20(5), 485–494 (2007)CrossRef
140.
Zurück zum Zitat Liang, J., Wang, F., Dang, C., Qian, Y.: A group incremental approach to feature selection applying rough set technique. IEEE Trans. Knowl. Data Eng. 26(2), 294–308 (2014)CrossRef Liang, J., Wang, F., Dang, C., Qian, Y.: A group incremental approach to feature selection applying rough set technique. IEEE Trans. Knowl. Data Eng. 26(2), 294–308 (2014)CrossRef
141.
Zurück zum Zitat Lin, T.Y., Yao, Y.Y., Zadeh, L.A.: Data mining, rough sets and granular computing. Physica 95 (2013) Lin, T.Y., Yao, Y.Y., Zadeh, L.A.: Data mining, rough sets and granular computing. Physica 95 (2013)
142.
Zurück zum Zitat Lingras, P.: Unsupervised rough set classification using gas. J. Intell. Inf. Syst. 16(3), 215–228 (2001)MATHCrossRef Lingras, P.: Unsupervised rough set classification using gas. J. Intell. Inf. Syst. 16(3), 215–228 (2001)MATHCrossRef
143.
Zurück zum Zitat Lingras, P., Chen, M., Miao, D.: Rough cluster quality index based on decision theory. IEEE Trans. Knowl. Data Eng. 21(7), 1014–1026 (2009)CrossRef Lingras, P., Chen, M., Miao, D.: Rough cluster quality index based on decision theory. IEEE Trans. Knowl. Data Eng. 21(7), 1014–1026 (2009)CrossRef
144.
Zurück zum Zitat Lingras, P., Chen, M., Miao, D.: Qualitative and quantitative combinations of crisp and rough clustering schemes using dominance relations. Int. J. Approximate Reasoning 55(1), 238–258 (2014)MathSciNetMATHCrossRef Lingras, P., Chen, M., Miao, D.: Qualitative and quantitative combinations of crisp and rough clustering schemes using dominance relations. Int. J. Approximate Reasoning 55(1), 238–258 (2014)MathSciNetMATHCrossRef
145.
Zurück zum Zitat Lingras, P., West, C.: Interval set clustering of web users with rough k-means. J. Intell. Inf. Syst. 23(1), 5–16 (2004)MATHCrossRef Lingras, P., West, C.: Interval set clustering of web users with rough k-means. J. Intell. Inf. Syst. 23(1), 5–16 (2004)MATHCrossRef
146.
Zurück zum Zitat Liu, D., Li, T., Liu, G., Hu, P.: An approach for inducing interesting incremental knowledge based on the change of attribute values. In: IEEE International Conference on Granular Computing, 2009, GRC’09, pp. 415–418. IEEE (2009) Liu, D., Li, T., Liu, G., Hu, P.: An approach for inducing interesting incremental knowledge based on the change of attribute values. In: IEEE International Conference on Granular Computing, 2009, GRC’09, pp. 415–418. IEEE (2009)
147.
Zurück zum Zitat Liu, D., Li, T., Ruan, D., Zhang, J.: Incremental learning optimization on knowledge discovery in dynamic business intelligent systems. J. Glob. Optim. 51(2), 325–344 (2011)MathSciNetMATHCrossRef Liu, D., Li, T., Ruan, D., Zhang, J.: Incremental learning optimization on knowledge discovery in dynamic business intelligent systems. J. Glob. Optim. 51(2), 325–344 (2011)MathSciNetMATHCrossRef
148.
Zurück zum Zitat Liu, D., Li, T., Ruan, D., Zou, W.: An incremental approach for inducing knowledge from dynamic information systems. Fundamenta Informaticae 94(2), 245–260 (2009)MathSciNetMATH Liu, D., Li, T., Ruan, D., Zou, W.: An incremental approach for inducing knowledge from dynamic information systems. Fundamenta Informaticae 94(2), 245–260 (2009)MathSciNetMATH
149.
Zurück zum Zitat Liu, D., Li, T., Zhang, J.: A rough set-based incremental approach for learning knowledge in dynamic incomplete information systems. Int. J. Approximate Reasoning 55(8), 1764–1786 (2014)MathSciNetMATHCrossRef Liu, D., Li, T., Zhang, J.: A rough set-based incremental approach for learning knowledge in dynamic incomplete information systems. Int. J. Approximate Reasoning 55(8), 1764–1786 (2014)MathSciNetMATHCrossRef
150.
Zurück zum Zitat Liu, D., Li, T., Zhang, J.: Incremental updating approximations in probabilistic rough sets under the variation of attributes. Knowl. Based Syst. 73, 81–96 (2015)CrossRef Liu, D., Li, T., Zhang, J.: Incremental updating approximations in probabilistic rough sets under the variation of attributes. Knowl. Based Syst. 73, 81–96 (2015)CrossRef
151.
Zurück zum Zitat Liu, D., Liang, D.: Incremental learning researches on rough set theory: status and future. Int. J. Rough Sets Data Anal. (IJRSDA) 1(1), 99–112 (2014)MathSciNetCrossRef Liu, D., Liang, D.: Incremental learning researches on rough set theory: status and future. Int. J. Rough Sets Data Anal. (IJRSDA) 1(1), 99–112 (2014)MathSciNetCrossRef
152.
Zurück zum Zitat Liu, J., Hu, Q., Yu, D.: A comparative study on rough set based class imbalance learning. Knowl. Based Syst. 21(8), 753–763 (2008)CrossRef Liu, J., Hu, Q., Yu, D.: A comparative study on rough set based class imbalance learning. Knowl. Based Syst. 21(8), 753–763 (2008)CrossRef
153.
Zurück zum Zitat Liu, J., Hu, Q., Yu, D.: A weighted rough set based method developed for class imbalance learning. Inf. Sci. 178(4), 1235–1256 (2008)MathSciNetMATHCrossRef Liu, J., Hu, Q., Yu, D.: A weighted rough set based method developed for class imbalance learning. Inf. Sci. 178(4), 1235–1256 (2008)MathSciNetMATHCrossRef
154.
Zurück zum Zitat Liu, Y., Xu, C., Zhang, Q., Pan, Y.: Rough rule extracting from various conditions: Incremental and approximate approaches for inconsistent data. Fundamenta Informaticae 84(3, 4), 403–427 (2008) Liu, Y., Xu, C., Zhang, Q., Pan, Y.: Rough rule extracting from various conditions: Incremental and approximate approaches for inconsistent data. Fundamenta Informaticae 84(3, 4), 403–427 (2008)
155.
Zurück zum Zitat Lu, J., Tan, Y.P.: Cost-sensitive subspace analysis and extensions for face recognition. IEEE Trans. Inf. Forensics Secur. 8(3), 510–519 (2013)CrossRef Lu, J., Tan, Y.P.: Cost-sensitive subspace analysis and extensions for face recognition. IEEE Trans. Inf. Forensics Secur. 8(3), 510–519 (2013)CrossRef
156.
Zurück zum Zitat Luo, C., Li, T., Chen, H., Liu, D.: Incremental approaches for updating approximations in set-valued ordered information systems. Knowl. Based Syst. 50, 218–233 (2013)CrossRef Luo, C., Li, T., Chen, H., Liu, D.: Incremental approaches for updating approximations in set-valued ordered information systems. Knowl. Based Syst. 50, 218–233 (2013)CrossRef
157.
Zurück zum Zitat Luo, C., Li, T., Yi, Z., Fujita, H.: Matrix approach to decision-theoretic rough sets for evolving data. Knowl. Based Syst. 99, 123–134 (2016)CrossRef Luo, C., Li, T., Yi, Z., Fujita, H.: Matrix approach to decision-theoretic rough sets for evolving data. Knowl. Based Syst. 99, 123–134 (2016)CrossRef
158.
Zurück zum Zitat Ma, T., Tang, M.: Weighted rough set model. In: Sixth International Conference on Intelligent Systems Design and Applications, vol. 1, pp. 481–485. IEEE (2006) Ma, T., Tang, M.: Weighted rough set model. In: Sixth International Conference on Intelligent Systems Design and Applications, vol. 1, pp. 481–485. IEEE (2006)
159.
Zurück zum Zitat Maji, P., Garai, P.: Fuzzy-rough simultaneous attribute selection and feature extraction algorithm. IEEE Trans. Cybern. 43(4), 1166–1177 (2013)CrossRef Maji, P., Garai, P.: Fuzzy-rough simultaneous attribute selection and feature extraction algorithm. IEEE Trans. Cybern. 43(4), 1166–1177 (2013)CrossRef
160.
Zurück zum Zitat Maji, P., Pal, S.K.: RFCM: a hybrid clustering algorithm using rough and fuzzy sets. Fundamenta Informaticae 80(4), 475–496 (2007)MathSciNetMATH Maji, P., Pal, S.K.: RFCM: a hybrid clustering algorithm using rough and fuzzy sets. Fundamenta Informaticae 80(4), 475–496 (2007)MathSciNetMATH
161.
Zurück zum Zitat Mak, B., Munakata, T.: Rule extraction from expert heuristics: a comparative study of rough sets with neural networks and ID3. Eur. J. Oper. Res. 136(1), 212–229 (2002)MATHCrossRef Mak, B., Munakata, T.: Rule extraction from expert heuristics: a comparative study of rough sets with neural networks and ID3. Eur. J. Oper. Res. 136(1), 212–229 (2002)MATHCrossRef
162.
Zurück zum Zitat Miao, D., Chen, M., Wei, Z., Duan, Q.: A reasonable rough approximation for clustering web users. In: International Workshop on Web Intelligence Meets Brain Informatics, pp. 428–442. Springer (2006) Miao, D., Chen, M., Wei, Z., Duan, Q.: A reasonable rough approximation for clustering web users. In: International Workshop on Web Intelligence Meets Brain Informatics, pp. 428–442. Springer (2006)
163.
Zurück zum Zitat Min, F., He, H., Qian, Y., Zhu, W.: Test-cost-sensitive attribute reduction. Inf. Sci. 181(22), 4928–4942 (2011)CrossRef Min, F., He, H., Qian, Y., Zhu, W.: Test-cost-sensitive attribute reduction. Inf. Sci. 181(22), 4928–4942 (2011)CrossRef
164.
165.
167.
Zurück zum Zitat Mirkin, B.: Mathematical classification and clustering: from how to what and why. In: Classification, Data Analysis, and Data Highways, pp. 172–181. Springer (1998) Mirkin, B.: Mathematical classification and clustering: from how to what and why. In: Classification, Data Analysis, and Data Highways, pp. 172–181. Springer (1998)
168.
Zurück zum Zitat Mitra, S.: An evolutionary rough partitive clustering. Pattern Recogn. Lett. 25(12), 1439–1449 (2004)CrossRef Mitra, S.: An evolutionary rough partitive clustering. Pattern Recogn. Lett. 25(12), 1439–1449 (2004)CrossRef
169.
Zurück zum Zitat Mitra, S., Banka, H.: Application of rough sets in pattern recognition. In: Transactions on Rough Sets VII, pp. 151–169. Springer (2007) Mitra, S., Banka, H.: Application of rough sets in pattern recognition. In: Transactions on Rough Sets VII, pp. 151–169. Springer (2007)
170.
Zurück zum Zitat Mitra, S., Banka, H., Pedrycz, W.: Rough-fuzzy collaborative clustering. IEEE Trans. Syst. Man, Cybern. Part B (Cybern.) 36(4), 795–805 (2006) Mitra, S., Banka, H., Pedrycz, W.: Rough-fuzzy collaborative clustering. IEEE Trans. Syst. Man, Cybern. Part B (Cybern.) 36(4), 795–805 (2006)
171.
Zurück zum Zitat Mitra, S., Barman, B.: Rough-fuzzy clustering: an application to medical imagery. In: International Conference on Rough Sets and Knowledge Technology, pp. 300–307. Springer (2008) Mitra, S., Barman, B.: Rough-fuzzy clustering: an application to medical imagery. In: International Conference on Rough Sets and Knowledge Technology, pp. 300–307. Springer (2008)
173.
Zurück zum Zitat Nguyen, H.S.: Discretization problem for rough sets methods. In: International Conference on Rough Sets and Current Trends in Computing, pp. 545–552. Springer (1998) Nguyen, H.S.: Discretization problem for rough sets methods. In: International Conference on Rough Sets and Current Trends in Computing, pp. 545–552. Springer (1998)
174.
Zurück zum Zitat Nguyen, H.S.: On efficient handling of continuous attributes in large data bases. Fundamenta Informaticae 48(1), 61–81 (2001)MathSciNetMATH Nguyen, H.S.: On efficient handling of continuous attributes in large data bases. Fundamenta Informaticae 48(1), 61–81 (2001)MathSciNetMATH
175.
Zurück zum Zitat Orlowska, E.: Dynamic information systems. Institute of Computer Science, Polish Academy of Sciences (1981)MATH Orlowska, E.: Dynamic information systems. Institute of Computer Science, Polish Academy of Sciences (1981)MATH
176.
Zurück zum Zitat Ozawa, S., Pang, S., Kasabov, N.: Incremental learning of chunk data for online pattern classification systems. IEEE Trans. Neural Netw. 19(6), 1061–1074 (2008)CrossRef Ozawa, S., Pang, S., Kasabov, N.: Incremental learning of chunk data for online pattern classification systems. IEEE Trans. Neural Netw. 19(6), 1061–1074 (2008)CrossRef
177.
Zurück zum Zitat Park, I.K., Choi, G.S.: Rough set approach for clustering categorical data using information-theoretic dependency measure. Inf. Syst. 48, 289–295 (2015)CrossRef Park, I.K., Choi, G.S.: Rough set approach for clustering categorical data using information-theoretic dependency measure. Inf. Syst. 48, 289–295 (2015)CrossRef
178.
Zurück zum Zitat Parmar, D., Wu, T., Blackhurst, J.: MMR: an algorithm for clustering categorical data using rough set theory. Data Knowl Eng. 63(3), 879–893 (2007)CrossRef Parmar, D., Wu, T., Blackhurst, J.: MMR: an algorithm for clustering categorical data using rough set theory. Data Knowl Eng. 63(3), 879–893 (2007)CrossRef
179.
182.
Zurück zum Zitat Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man-Mach. Stud. 29(1), 81–95 (1988)MATHCrossRef Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man-Mach. Stud. 29(1), 81–95 (1988)MATHCrossRef
183.
Zurück zum Zitat Pedrycz, W.: Granular Computing: An Emerging Paradigm, vol. 70. Springer Science & Business Media (2001) Pedrycz, W.: Granular Computing: An Emerging Paradigm, vol. 70. Springer Science & Business Media (2001)
184.
Zurück zum Zitat Peters, G.: Outliers in rough k-means clustering. In: International Conference on Pattern Recognition and Machine Intelligence, pp. 702–707. Springer (2005) Peters, G.: Outliers in rough k-means clustering. In: International Conference on Pattern Recognition and Machine Intelligence, pp. 702–707. Springer (2005)
185.
Zurück zum Zitat Peters, G.: Some refinements of rough k-means clustering. Pattern Recogn. 39(8), 1481–1491 (2006)MATHCrossRef Peters, G.: Some refinements of rough k-means clustering. Pattern Recogn. 39(8), 1481–1491 (2006)MATHCrossRef
186.
187.
Zurück zum Zitat Peters, G.: Is there any need for rough clustering? Pattern Recogn. Lett. 53, 31–37 (2015)CrossRef Peters, G.: Is there any need for rough clustering? Pattern Recogn. Lett. 53, 31–37 (2015)CrossRef
188.
Zurück zum Zitat Peters, G., Crespo, F., Lingras, P., Weber, R.: Soft clustering-fuzzy and rough approaches and their extensions and derivatives. Int. J. Approximate Reasoning 54(2), 307–322 (2013)MathSciNetCrossRef Peters, G., Crespo, F., Lingras, P., Weber, R.: Soft clustering-fuzzy and rough approaches and their extensions and derivatives. Int. J. Approximate Reasoning 54(2), 307–322 (2013)MathSciNetCrossRef
189.
Zurück zum Zitat Peters, G., Lampart, M., Weber, R.: Evolutionary rough k-medoid clustering. In: Transactions on Rough Sets VIII, pp. 289–306. Springer (2008) Peters, G., Lampart, M., Weber, R.: Evolutionary rough k-medoid clustering. In: Transactions on Rough Sets VIII, pp. 289–306. Springer (2008)
190.
Zurück zum Zitat Peters, G., Weber, R., Nowatzke, R.: Dynamic rough clustering and its applications. Appl. Soft Comput. 12(10), 3193–3207 (2012)CrossRef Peters, G., Weber, R., Nowatzke, R.: Dynamic rough clustering and its applications. Appl. Soft Comput. 12(10), 3193–3207 (2012)CrossRef
191.
Zurück zum Zitat Pradeepa, A., Selvadoss ThanamaniLee, A.: Hadoop file system and fundamental concept of mapreduce interior and closure rough set approximations. Int. J. Adv. Res. Comput. Commun. Eng. 2 (2013) Pradeepa, A., Selvadoss ThanamaniLee, A.: Hadoop file system and fundamental concept of mapreduce interior and closure rough set approximations. Int. J. Adv. Res. Comput. Commun. Eng. 2 (2013)
192.
Zurück zum Zitat do Prado, H.A., Engel, P.M., Chaib Filho, H.: Rough clustering: an alternative to find meaningful clusters by using the reducts from a dataset. In: International Conference on Rough Sets and Current Trends in Computing, pp. 234–238. Springer (2002) do Prado, H.A., Engel, P.M., Chaib Filho, H.: Rough clustering: an alternative to find meaningful clusters by using the reducts from a dataset. In: International Conference on Rough Sets and Current Trends in Computing, pp. 234–238. Springer (2002)
193.
Zurück zum Zitat Qian, Y., Wang, Q., Cheng, H., Liang, J., Dang, C.: Fuzzy-rough feature selection accelerator. Fuzzy Sets Syst. 258, 61–78 (2015)MathSciNetMATHCrossRef Qian, Y., Wang, Q., Cheng, H., Liang, J., Dang, C.: Fuzzy-rough feature selection accelerator. Fuzzy Sets Syst. 258, 61–78 (2015)MathSciNetMATHCrossRef
194.
Zurück zum Zitat Ramentol, E., Caballero, Y., Bello, R., Herrera, F.: Smote-rsb*: a hybrid preprocessing approach based on oversampling and undersampling for high imbalanced data-sets using smote and rough sets theory. Knowl. Inf. Syst. 33(2), 245–265 (2012)CrossRef Ramentol, E., Caballero, Y., Bello, R., Herrera, F.: Smote-rsb*: a hybrid preprocessing approach based on oversampling and undersampling for high imbalanced data-sets using smote and rough sets theory. Knowl. Inf. Syst. 33(2), 245–265 (2012)CrossRef
195.
Zurück zum Zitat Riza, L.S., Janusz, A., Bergmeir, C., Cornelis, C., Herrera, F., Śle, D., Benítez, J.M., et al.: Implementing algorithms of rough set theory and fuzzy rough set theory in the R package "roughsets". Inf. Sci. 287, 68–89 (2014)CrossRef Riza, L.S., Janusz, A., Bergmeir, C., Cornelis, C., Herrera, F., Śle, D., Benítez, J.M., et al.: Implementing algorithms of rough set theory and fuzzy rough set theory in the R package "roughsets". Inf. Sci. 287, 68–89 (2014)CrossRef
196.
Zurück zum Zitat Salamó, M., López-Sánchez, M.: Rough set based approaches to feature selection for case-based reasoning classifiers. Pattern Recogn. Lett. 32(2), 280–292 (2011)CrossRef Salamó, M., López-Sánchez, M.: Rough set based approaches to feature selection for case-based reasoning classifiers. Pattern Recogn. Lett. 32(2), 280–292 (2011)CrossRef
197.
Zurück zum Zitat Salido, J.F., Murakami, S.: Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations. Fuzzy Sets Syst. 139(3), 635–660 (2003)MathSciNetMATHCrossRef Salido, J.F., Murakami, S.: Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations. Fuzzy Sets Syst. 139(3), 635–660 (2003)MathSciNetMATHCrossRef
198.
Zurück zum Zitat Schapire, R.E., Singer, Y.: Boostexter: a boosting-based system for text categorization. Mach. Learn. 39(2–3), 135–168 (2000)MATHCrossRef Schapire, R.E., Singer, Y.: Boostexter: a boosting-based system for text categorization. Mach. Learn. 39(2–3), 135–168 (2000)MATHCrossRef
199.
Zurück zum Zitat Shan, N., Ziarko, W.: Data-based acquisition and incremental modification of classification rules. Comput. Intell. 11(2), 357–370 (1995)CrossRef Shan, N., Ziarko, W.: Data-based acquisition and incremental modification of classification rules. Comput. Intell. 11(2), 357–370 (1995)CrossRef
200.
Zurück zum Zitat Shen, F., Yu, H., Kamiya, Y., Hasegawa, O.: An online incremental semi-supervised learning method. JACIII 14(6), 593–605 (2010)CrossRef Shen, F., Yu, H., Kamiya, Y., Hasegawa, O.: An online incremental semi-supervised learning method. JACIII 14(6), 593–605 (2010)CrossRef
201.
Zurück zum Zitat Shen, Q., Chouchoulas, A.: Combining rough sets and data-driven fuzzy learning for generation of classification rules. Pattern Recogn. 32(12), 2073–2076 (1999)CrossRef Shen, Q., Chouchoulas, A.: Combining rough sets and data-driven fuzzy learning for generation of classification rules. Pattern Recogn. 32(12), 2073–2076 (1999)CrossRef
202.
Zurück zum Zitat Shen, Q., Chouchoulas, A.: A modular approach to generating fuzzy rules with reduced attributes for the monitoring of complex systems. Eng. Appl. Artif. Intell. 13(3), 263–278 (2000)CrossRef Shen, Q., Chouchoulas, A.: A modular approach to generating fuzzy rules with reduced attributes for the monitoring of complex systems. Eng. Appl. Artif. Intell. 13(3), 263–278 (2000)CrossRef
203.
Zurück zum Zitat Shen, Q., Jensen, R.: Selecting informative features with fuzzy-rough sets and its application for complex systems monitoring. Pattern Recogn. 37(7), 1351–1363 (2004)MATHCrossRef Shen, Q., Jensen, R.: Selecting informative features with fuzzy-rough sets and its application for complex systems monitoring. Pattern Recogn. 37(7), 1351–1363 (2004)MATHCrossRef
204.
Zurück zum Zitat Shu, W., Shen, H.: Incremental feature selection based on rough set in dynamic incomplete data. Pattern Recogn. 47(12), 3890–3906 (2014)CrossRef Shu, W., Shen, H.: Incremental feature selection based on rough set in dynamic incomplete data. Pattern Recogn. 47(12), 3890–3906 (2014)CrossRef
205.
Zurück zum Zitat Singh, G.K., Minz, S.: Discretization using clustering and rough set theory. In: International Conference on Computing: Theory and Applications, 2007. ICCTA’07, pp. 330–336. IEEE (2007) Singh, G.K., Minz, S.: Discretization using clustering and rough set theory. In: International Conference on Computing: Theory and Applications, 2007. ICCTA’07, pp. 330–336. IEEE (2007)
206.
Zurück zum Zitat Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Intelligent Decision Support, pp. 331–362. Springer (1992) Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Intelligent Decision Support, pp. 331–362. Springer (1992)
207.
Zurück zum Zitat Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27(2, 3), 245–253 (1996) Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27(2, 3), 245–253 (1996)
208.
Zurück zum Zitat Slezak, D.: Approximate bayesian networks. In: Technologies for Constructing Intelligent Systems 2, pp. 313–325. Springer (2002) Slezak, D.: Approximate bayesian networks. In: Technologies for Constructing Intelligent Systems 2, pp. 313–325. Springer (2002)
209.
Zurück zum Zitat Ślezak, D.: Approximate entropy reducts. Fundamenta Informaticae 53(3–4), 365–390 (2002)MathSciNetMATH Ślezak, D.: Approximate entropy reducts. Fundamenta Informaticae 53(3–4), 365–390 (2002)MathSciNetMATH
210.
Zurück zum Zitat Slezak, D., Ziarko, W., et al.: The investigation of the bayesian rough set model. Int. J. Approximate Reasoning 40(1), 81–91 (2005)MathSciNetMATHCrossRef Slezak, D., Ziarko, W., et al.: The investigation of the bayesian rough set model. Int. J. Approximate Reasoning 40(1), 81–91 (2005)MathSciNetMATHCrossRef
212.
Zurück zum Zitat Slowinski, R., Vanderpooten, D., et al.: A generalized definition of rough approximations based on similarity. IEEE Trans. Knowl. Data Eng. 12(2), 331–336 (2000)CrossRef Slowinski, R., Vanderpooten, D., et al.: A generalized definition of rough approximations based on similarity. IEEE Trans. Knowl. Data Eng. 12(2), 331–336 (2000)CrossRef
213.
Zurück zum Zitat Soni, R., Nanda, R.: Neighborhood clustering of web users with rough k-means. In: Proceedings of 6th WSEAS International Conference on Circuits, Systems, Electronics, Control & Signal Processing, pp. 570–574 (2007) Soni, R., Nanda, R.: Neighborhood clustering of web users with rough k-means. In: Proceedings of 6th WSEAS International Conference on Circuits, Systems, Electronics, Control & Signal Processing, pp. 570–574 (2007)
214.
Zurück zum Zitat Stefanowski, J.: The rough set based rule induction technique for classification problems. In: In Proceedings of 6th European Conference on Intelligent Techniques and Soft Computing EUFIT, vol. 98 (1998) Stefanowski, J.: The rough set based rule induction technique for classification problems. In: In Proceedings of 6th European Conference on Intelligent Techniques and Soft Computing EUFIT, vol. 98 (1998)
215.
Zurück zum Zitat Stefanowski, J.: On combined classifiers, rule induction and rough sets. In: Transactions on Rough Sets VI, pp. 329–350. Springer (2007) Stefanowski, J.: On combined classifiers, rule induction and rough sets. In: Transactions on Rough Sets VI, pp. 329–350. Springer (2007)
216.
Zurück zum Zitat Stefanowski, J., Vanderpooten, D.: Induction of decision rules in classification and discovery-oriented perspectives. Int. J. Intell. Syst. 16(1), 13–27 (2001)MATHCrossRef Stefanowski, J., Vanderpooten, D.: Induction of decision rules in classification and discovery-oriented perspectives. Int. J. Intell. Syst. 16(1), 13–27 (2001)MATHCrossRef
217.
Zurück zum Zitat Stefanowski, J., Wilk, S.: Rough sets for handling imbalanced data: combining filtering and rule-based classifiers. Fundamenta Informaticae 72(1–3), 379–391 (2006)MATH Stefanowski, J., Wilk, S.: Rough sets for handling imbalanced data: combining filtering and rule-based classifiers. Fundamenta Informaticae 72(1–3), 379–391 (2006)MATH
218.
Zurück zum Zitat Stefanowski, J., Wilk, S.: Extending rule-based classifiers to improve recognition of imbalanced classes. In: Advances in Data Management, pp. 131–154. Springer (2009) Stefanowski, J., Wilk, S.: Extending rule-based classifiers to improve recognition of imbalanced classes. In: Advances in Data Management, pp. 131–154. Springer (2009)
219.
Zurück zum Zitat Su, C.T., Hsu, J.H.: An extended Chi2 algorithm for discretization of real value attributes. IEEE Trans. Knowl. Data Eng. 17(3), 437–441 (2005)CrossRef Su, C.T., Hsu, J.H.: An extended Chi2 algorithm for discretization of real value attributes. IEEE Trans. Knowl. Data Eng. 17(3), 437–441 (2005)CrossRef
220.
Zurück zum Zitat Su, C.T., Hsu, J.H.: Precision parameter in the variable precision rough sets model: an application. Omega 34(2), 149–157 (2006)MathSciNetCrossRef Su, C.T., Hsu, J.H.: Precision parameter in the variable precision rough sets model: an application. Omega 34(2), 149–157 (2006)MathSciNetCrossRef
221.
222.
Zurück zum Zitat Świniarski, R.W.: Rough sets methods in feature reduction and classification. Int. J. Appl. Math. Comput. Sci. 11(3), 565–582 (2001)MathSciNetMATH Świniarski, R.W.: Rough sets methods in feature reduction and classification. Int. J. Appl. Math. Comput. Sci. 11(3), 565–582 (2001)MathSciNetMATH
223.
Zurück zum Zitat Swiniarski, R.W., Skowron, A.: Rough set methods in feature selection and recognition. Pattern Recogn. Lett. 24(6), 833–849 (2003)MATHCrossRef Swiniarski, R.W., Skowron, A.: Rough set methods in feature selection and recognition. Pattern Recogn. Lett. 24(6), 833–849 (2003)MATHCrossRef
224.
Zurück zum Zitat Tay, F.E., Shen, L.: Economic and financial prediction using rough sets model. Eur. J. Oper. Res. 141(3), 641–659 (2002)MATHCrossRef Tay, F.E., Shen, L.: Economic and financial prediction using rough sets model. Eur. J. Oper. Res. 141(3), 641–659 (2002)MATHCrossRef
225.
Zurück zum Zitat Tsang, E.C., Chen, D., Yeung, D.S., Wang, X.Z., Lee, J.W.: Attributes reduction using fuzzy rough sets. IEEE Trans. Fuzzy Syst. 16(5), 1130–1141 (2008)CrossRef Tsang, E.C., Chen, D., Yeung, D.S., Wang, X.Z., Lee, J.W.: Attributes reduction using fuzzy rough sets. IEEE Trans. Fuzzy Syst. 16(5), 1130–1141 (2008)CrossRef
226.
Zurück zum Zitat Tsoumakas, G., Katakis, I.: Multi-label classification: an overview. Aristotle University of Thessaloniki, Greece, Deparment of Informatics (2006) Tsoumakas, G., Katakis, I.: Multi-label classification: an overview. Aristotle University of Thessaloniki, Greece, Deparment of Informatics (2006)
227.
Zurück zum Zitat Tsoumakas, G., Vlahavas, I.: Random k-labelsets: an ensemble method for multilabel classification. In: European Conference on Machine Learning, pp. 406–417. Springer (2007) Tsoumakas, G., Vlahavas, I.: Random k-labelsets: an ensemble method for multilabel classification. In: European Conference on Machine Learning, pp. 406–417. Springer (2007)
228.
Zurück zum Zitat Tsumoto, S.: Automated extraction of medical expert system rules from clinical databases based on rough set theory. Inf. Sci. 112(1), 67–84 (1998)CrossRef Tsumoto, S.: Automated extraction of medical expert system rules from clinical databases based on rough set theory. Inf. Sci. 112(1), 67–84 (1998)CrossRef
229.
Zurück zum Zitat Tsumoto, S.: Automated extraction of hierarchical decision rules from clinical databases using rough set model. Expert Syst. Appl. 24(2), 189–197 (2003)CrossRef Tsumoto, S.: Automated extraction of hierarchical decision rules from clinical databases using rough set model. Expert Syst. Appl. 24(2), 189–197 (2003)CrossRef
230.
Zurück zum Zitat Tsumoto, S.: Incremental rule induction based on rough set theory. In: International Symposium on Methodologies for Intelligent Systems, pp. 70–79. Springer (2011) Tsumoto, S.: Incremental rule induction based on rough set theory. In: International Symposium on Methodologies for Intelligent Systems, pp. 70–79. Springer (2011)
231.
Zurück zum Zitat Vanderpooten, D.: Similarity relation as a basis for rough approximations. Adv. Mach. Intell. Soft Comput. 4, 17–33 (1997) Vanderpooten, D.: Similarity relation as a basis for rough approximations. Adv. Mach. Intell. Soft Comput. 4, 17–33 (1997)
232.
Zurück zum Zitat Verbiest, N.: Fuzzy rough and evolutionary approaches to instance selection. Ph.D. thesis, Ghent University (2014) Verbiest, N.: Fuzzy rough and evolutionary approaches to instance selection. Ph.D. thesis, Ghent University (2014)
233.
Zurück zum Zitat Verbiest, N., Cornelis, C., Herrera, F.: FRPS: a fuzzy rough prototype selection method. Pattern Recogn. 46(10), 2770–2782 (2013)MATHCrossRef Verbiest, N., Cornelis, C., Herrera, F.: FRPS: a fuzzy rough prototype selection method. Pattern Recogn. 46(10), 2770–2782 (2013)MATHCrossRef
234.
Zurück zum Zitat Vilalta, R., Drissi, Y.: A perspective view and survey of meta-learning. Artif. Intell. Rev. 18(2), 77–95 (2002)CrossRef Vilalta, R., Drissi, Y.: A perspective view and survey of meta-learning. Artif. Intell. Rev. 18(2), 77–95 (2002)CrossRef
235.
Zurück zum Zitat Voges, K., Pope, N., Brown, M.: A rough cluster analysis of shopping orientation data. In: Proceedings Australian and New Zealand Marketing Academy Conference, Adelaide, pp. 1625–1631 (2003) Voges, K., Pope, N., Brown, M.: A rough cluster analysis of shopping orientation data. In: Proceedings Australian and New Zealand Marketing Academy Conference, Adelaide, pp. 1625–1631 (2003)
236.
Zurück zum Zitat Voges, K.E., Pope, N., Brown, M.R.: Cluster analysis of marketing data examining on-line shopping orientation: a comparison of k-means and rough clustering approaches. In: Heuristics and Optimization for Knowledge Discovery, pp. 207–224 (2002) Voges, K.E., Pope, N., Brown, M.R.: Cluster analysis of marketing data examining on-line shopping orientation: a comparison of k-means and rough clustering approaches. In: Heuristics and Optimization for Knowledge Discovery, pp. 207–224 (2002)
237.
Zurück zum Zitat Wang, F., Liang, J., Dang, C.: Attribute reduction for dynamic data sets. Applied Soft Computing 13(1), 676–689 (2013)CrossRef Wang, F., Liang, J., Dang, C.: Attribute reduction for dynamic data sets. Applied Soft Computing 13(1), 676–689 (2013)CrossRef
238.
Zurück zum Zitat Wang, F., Liang, J., Qian, Y.: Attribute reduction: a dimension incremental strategy. Knowl. Based Syst. 39, 95–108 (2013)CrossRef Wang, F., Liang, J., Qian, Y.: Attribute reduction: a dimension incremental strategy. Knowl. Based Syst. 39, 95–108 (2013)CrossRef
239.
Zurück zum Zitat Wang, G., Yu, H., Li, T., et al.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inf. Sci. 278, 614–640 (2014)MathSciNetMATHCrossRef Wang, G., Yu, H., Li, T., et al.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inf. Sci. 278, 614–640 (2014)MathSciNetMATHCrossRef
240.
Zurück zum Zitat Wang, X., An, S., Shi, H., Hu, Q.: Fuzzy rough decision trees for multi-label classification. In: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, pp. 207–217. Springer (2015) Wang, X., An, S., Shi, H., Hu, Q.: Fuzzy rough decision trees for multi-label classification. In: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, pp. 207–217. Springer (2015)
241.
Zurück zum Zitat Wang, X., Yang, J., Peng, N., Teng, X.: Finding minimal rough set reducts with particle swarm optimization. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 451–460. Springer (2005) Wang, X., Yang, J., Peng, N., Teng, X.: Finding minimal rough set reducts with particle swarm optimization. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 451–460. Springer (2005)
242.
Zurück zum Zitat Wang, X., Yang, J., Teng, X., Xia, W., Jensen, R.: Feature selection based on rough sets and particle swarm optimization. Pattern Recogn. Lett. 28(4), 459–471 (2007)CrossRef Wang, X., Yang, J., Teng, X., Xia, W., Jensen, R.: Feature selection based on rough sets and particle swarm optimization. Pattern Recogn. Lett. 28(4), 459–471 (2007)CrossRef
243.
Zurück zum Zitat Wei, M.H., Cheng, C.H., Huang, C.S., Chiang, P.C.: Discovering medical quality of total hip arthroplasty by rough set classifier with imbalanced class. Qual. Quant. 47(3), 1761–1779 (2013)CrossRef Wei, M.H., Cheng, C.H., Huang, C.S., Chiang, P.C.: Discovering medical quality of total hip arthroplasty by rough set classifier with imbalanced class. Qual. Quant. 47(3), 1761–1779 (2013)CrossRef
244.
Zurück zum Zitat Wojna, A.: Constraint based incremental learning of classification rules. In: International Conference on Rough Sets and Current Trends in Computing, pp. 428–435. Springer (2000) Wojna, A.: Constraint based incremental learning of classification rules. In: International Conference on Rough Sets and Current Trends in Computing, pp. 428–435. Springer (2000)
245.
Zurück zum Zitat Wróblewski, J.: Finding minimal reducts using genetic algorithms. In: Proceedings of the Second Annual Join Conference on Information Science, pp. 186–189 (1995) Wróblewski, J.: Finding minimal reducts using genetic algorithms. In: Proceedings of the Second Annual Join Conference on Information Science, pp. 186–189 (1995)
246.
Zurück zum Zitat Wróblewski, J.: Theoretical foundations of order-based genetic algorithms. Fundamenta Informaticae 28(3, 4), 423–430 (1996) Wróblewski, J.: Theoretical foundations of order-based genetic algorithms. Fundamenta Informaticae 28(3, 4), 423–430 (1996)
247.
Zurück zum Zitat Wróblewski, J.: Ensembles of classifiers based on approximate reducts. Fundamenta Informaticae 47(3–4), 351–360 (2001)MathSciNetMATH Wróblewski, J.: Ensembles of classifiers based on approximate reducts. Fundamenta Informaticae 47(3–4), 351–360 (2001)MathSciNetMATH
248.
Zurück zum Zitat Wu, Q., Bell, D.: Multi-knowledge extraction and application. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 274–278. Springer (2003) Wu, Q., Bell, D.: Multi-knowledge extraction and application. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 274–278. Springer (2003)
249.
Zurück zum Zitat Xie, H., Cheng, H.Z., Niu, D.X.: Discretization of continuous attributes in rough set theory based on information entropy. Chin. J. Comput. Chin. Ed. 28(9), 1570 (2005) Xie, H., Cheng, H.Z., Niu, D.X.: Discretization of continuous attributes in rough set theory based on information entropy. Chin. J. Comput. Chin. Ed. 28(9), 1570 (2005)
250.
Zurück zum Zitat Xu, Y., Wang, L., Zhang, R.: A dynamic attribute reduction algorithm based on 0–1 integer programming. Knowl. Based Syst. 24(8), 1341–1347 (2011)CrossRef Xu, Y., Wang, L., Zhang, R.: A dynamic attribute reduction algorithm based on 0–1 integer programming. Knowl. Based Syst. 24(8), 1341–1347 (2011)CrossRef
251.
Zurück zum Zitat Xu, Z., Liang, J., Dang, C., Chin, K.: Inclusion degree: a perspective on measures for rough set data analysis. Inf. Sci. 141(3), 227–236 (2002)MathSciNetMATHCrossRef Xu, Z., Liang, J., Dang, C., Chin, K.: Inclusion degree: a perspective on measures for rough set data analysis. Inf. Sci. 141(3), 227–236 (2002)MathSciNetMATHCrossRef
252.
Zurück zum Zitat Yang, Q., Ling, C., Chai, X., Pan, R.: Test-cost sensitive classification on data with missing values. IEEE Trans. Knowl. Data Eng. 18(5), 626–638 (2006)CrossRef Yang, Q., Ling, C., Chai, X., Pan, R.: Test-cost sensitive classification on data with missing values. IEEE Trans. Knowl. Data Eng. 18(5), 626–638 (2006)CrossRef
253.
Zurück zum Zitat Yang, X., Qi, Y., Song, X., Yang, J.: Test cost sensitive multigranulation rough set: model and minimal cost selection. Inf. Sci. 250, 184–199 (2013)MathSciNetMATHCrossRef Yang, X., Qi, Y., Song, X., Yang, J.: Test cost sensitive multigranulation rough set: model and minimal cost selection. Inf. Sci. 250, 184–199 (2013)MathSciNetMATHCrossRef
254.
Zurück zum Zitat Yang, X., Qi, Y., Yu, H., Song, X., Yang, J.: Updating multigranulation rough approximations with increasing of granular structures. Knowl. Based Syst. 64, 59–69 (2014)CrossRef Yang, X., Qi, Y., Yu, H., Song, X., Yang, J.: Updating multigranulation rough approximations with increasing of granular structures. Knowl. Based Syst. 64, 59–69 (2014)CrossRef
255.
Zurück zum Zitat Yang, Y., Chen, D., Dong, Z.: Novel algorithms of attribute reduction with variable precision rough set model. Neurocomputing 139, 336–344 (2014)CrossRef Yang, Y., Chen, D., Dong, Z.: Novel algorithms of attribute reduction with variable precision rough set model. Neurocomputing 139, 336–344 (2014)CrossRef
256.
Zurück zum Zitat Yang, Y., Chen, Z., Liang, Z., Wang, G.: Attribute reduction for massive data based on rough set theory and mapreduce. In: International Conference on Rough Sets and Knowledge Technology, pp. 672–678. Springer (2010) Yang, Y., Chen, Z., Liang, Z., Wang, G.: Attribute reduction for massive data based on rough set theory and mapreduce. In: International Conference on Rough Sets and Knowledge Technology, pp. 672–678. Springer (2010)
257.
Zurück zum Zitat Yao, J., Yao, Y.: A granular computing approach to machine learning. FSKD 2, 732–736 (2002) Yao, J., Yao, Y.: A granular computing approach to machine learning. FSKD 2, 732–736 (2002)
258.
Zurück zum Zitat Yao, Y.: Combination of rough and fuzzy sets based on \(\alpha \)-level sets. In: Rough sets and Data Mining, pp. 301–321. Springer (1997) Yao, Y.: Combination of rough and fuzzy sets based on \(\alpha \)-level sets. In: Rough sets and Data Mining, pp. 301–321. Springer (1997)
259.
Zurück zum Zitat Yao, Y.: Decision-theoretic rough set models. In: International Conference on Rough Sets and Knowledge Technology, pp. 1–12. Springer (2007) Yao, Y.: Decision-theoretic rough set models. In: International Conference on Rough Sets and Knowledge Technology, pp. 1–12. Springer (2007)
260.
Zurück zum Zitat Yao, Y.: Three-way decision: an interpretation of rules in rough set theory. In: International Conference on Rough Sets and Knowledge Technology, pp. 642–649. Springer (2009) Yao, Y.: Three-way decision: an interpretation of rules in rough set theory. In: International Conference on Rough Sets and Knowledge Technology, pp. 642–649. Springer (2009)
261.
262.
263.
Zurück zum Zitat Yao, Y.: An outline of a theory of three-way decisions. In: International Conference on Rough Sets and Current Trends in Computing, pp. 1–17. Springer (2012) Yao, Y.: An outline of a theory of three-way decisions. In: International Conference on Rough Sets and Current Trends in Computing, pp. 1–17. Springer (2012)
264.
Zurück zum Zitat Yao, Y., Greco, S., Słowiński, R.: Probabilistic rough sets. In: Springer Handbook of Computational Intelligence, pp. 387–411. Springer (2015) Yao, Y., Greco, S., Słowiński, R.: Probabilistic rough sets. In: Springer Handbook of Computational Intelligence, pp. 387–411. Springer (2015)
265.
266.
Zurück zum Zitat Yao, Y., Zhao, Y., Maguire, R.B.: Explanation oriented association mining using rough set theory. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 165–172. Springer (2003) Yao, Y., Zhao, Y., Maguire, R.B.: Explanation oriented association mining using rough set theory. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 165–172. Springer (2003)
268.
Zurück zum Zitat Ye, D., Chen, Z., Ma, S.: A novel and better fitness evaluation for rough set based minimum attribute reduction problem. Inf. Sci. 222, 413–423 (2013)MathSciNetMATHCrossRef Ye, D., Chen, Z., Ma, S.: A novel and better fitness evaluation for rough set based minimum attribute reduction problem. Inf. Sci. 222, 413–423 (2013)MathSciNetMATHCrossRef
269.
Zurück zum Zitat Yong, L., Congfu, X., Yunhe, P.: An incremental rule extracting algorithm based on pawlak reduction. In: 2004 IEEE International Conference on Systems, Man and Cybernetics, vol. 6, pp. 5964–5968. IEEE (2004) Yong, L., Congfu, X., Yunhe, P.: An incremental rule extracting algorithm based on pawlak reduction. In: 2004 IEEE International Conference on Systems, Man and Cybernetics, vol. 6, pp. 5964–5968. IEEE (2004)
270.
Zurück zum Zitat Yong, L., Wenliang, H., Yunliang, J., Zhiyong, Z.: Quick attribute reduct algorithm for neighborhood rough set model. Inf. Sci. 271, 65–81 (2014)MathSciNetMATHCrossRef Yong, L., Wenliang, H., Yunliang, J., Zhiyong, Z.: Quick attribute reduct algorithm for neighborhood rough set model. Inf. Sci. 271, 65–81 (2014)MathSciNetMATHCrossRef
271.
Zurück zum Zitat Yu, H., Chu, S., Yang, D.: Autonomous knowledge-oriented clustering using decision-theoretic rough set theory. Fundamenta Informaticae 115(2–3), 141–156 (2012)MathSciNetMATH Yu, H., Chu, S., Yang, D.: Autonomous knowledge-oriented clustering using decision-theoretic rough set theory. Fundamenta Informaticae 115(2–3), 141–156 (2012)MathSciNetMATH
272.
Zurück zum Zitat Yu, H., Liu, Z., Wang, G.: An automatic method to determine the number of clusters using decision-theoretic rough set. Int. J. Approximate Reasoning 55(1), 101–115 (2014)MathSciNetMATHCrossRef Yu, H., Liu, Z., Wang, G.: An automatic method to determine the number of clusters using decision-theoretic rough set. Int. J. Approximate Reasoning 55(1), 101–115 (2014)MathSciNetMATHCrossRef
273.
Zurück zum Zitat Yu, H., Su, T., Zeng, X.: A three-way decisions clustering algorithm for incomplete data. In: International Conference on Rough Sets and Knowledge Technology, pp. 765–776. Springer (2014) Yu, H., Su, T., Zeng, X.: A three-way decisions clustering algorithm for incomplete data. In: International Conference on Rough Sets and Knowledge Technology, pp. 765–776. Springer (2014)
274.
Zurück zum Zitat Yu, H., Wang, G., Lan, F.: Solving the attribute reduction problem with ant colony optimization. In: Transactions on Rough Sets XIII, pp. 240–259. Springer (2011) Yu, H., Wang, G., Lan, F.: Solving the attribute reduction problem with ant colony optimization. In: Transactions on Rough Sets XIII, pp. 240–259. Springer (2011)
275.
Zurück zum Zitat Yu, H., Wang, Y.: Three-way decisions method for overlapping clustering. In: International Conference on Rough Sets and Current Trends in Computing, pp. 277–286. Springer (2012) Yu, H., Wang, Y.: Three-way decisions method for overlapping clustering. In: International Conference on Rough Sets and Current Trends in Computing, pp. 277–286. Springer (2012)
276.
Zurück zum Zitat Yu, H., Wang, Y., Jiao, P.: A three-way decisions approach to density-based overlapping clustering. In: Transactions on Rough Sets XVIII, pp. 92–109. Springer (2014) Yu, H., Wang, Y., Jiao, P.: A three-way decisions approach to density-based overlapping clustering. In: Transactions on Rough Sets XVIII, pp. 92–109. Springer (2014)
277.
Zurück zum Zitat Yu, H., Zhang, C., Hu, F.: An incremental clustering approach based on three-way decisions. In: International Conference on Rough Sets and Current Trends in Computing, pp. 152–159. Springer (2014) Yu, H., Zhang, C., Hu, F.: An incremental clustering approach based on three-way decisions. In: International Conference on Rough Sets and Current Trends in Computing, pp. 152–159. Springer (2014)
278.
Zurück zum Zitat Yu, Y., Miao, D., Zhang, Z., Wang, L.: Multi-label classification using rough sets. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 119–126. Springer (2013) Yu, Y., Miao, D., Zhang, Z., Wang, L.: Multi-label classification using rough sets. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 119–126. Springer (2013)
279.
Zurück zum Zitat Yu, Y., Pedrycz, W., Miao, D.: Multi-label classification by exploiting label correlations. Expert Syst. Appl. 41(6), 2989–3004 (2014)CrossRef Yu, Y., Pedrycz, W., Miao, D.: Multi-label classification by exploiting label correlations. Expert Syst. Appl. 41(6), 2989–3004 (2014)CrossRef
280.
Zurück zum Zitat Zhai, J., Zhang, S., Zhang, Y.: An extension of rough fuzzy set. J. Intell. Fuzzy Syst. (Preprint), 1–10 (2016) Zhai, J., Zhang, S., Zhang, Y.: An extension of rough fuzzy set. J. Intell. Fuzzy Syst. (Preprint), 1–10 (2016)
281.
Zurück zum Zitat Zhai, J., Zhang, Y., Zhu, H.: Three-way decisions model based on tolerance rough fuzzy set. Int. J. Mach. Learn. Cybern. 1–9 (2016) Zhai, J., Zhang, Y., Zhu, H.: Three-way decisions model based on tolerance rough fuzzy set. Int. J. Mach. Learn. Cybern. 1–9 (2016)
282.
Zurück zum Zitat Zhang, H.R., Min, F.: Three-way recommender systems based on random forests. Knowl. Based Syst. 91, 275–286 (2016)CrossRef Zhang, H.R., Min, F.: Three-way recommender systems based on random forests. Knowl. Based Syst. 91, 275–286 (2016)CrossRef
283.
Zurück zum Zitat Zhang, J., Li, T., Chen, H.: Composite rough sets. In: International Conference on Artificial Intelligence and Computational Intelligence, pp. 150–159. Springer (2012) Zhang, J., Li, T., Chen, H.: Composite rough sets. In: International Conference on Artificial Intelligence and Computational Intelligence, pp. 150–159. Springer (2012)
285.
Zurück zum Zitat Zhang, J., Li, T., Pan, Y.: Parallel rough set based knowledge acquisition using mapreduce from big data. In: Proceedings of the 1st International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications, pp. 20–27. ACM (2012) Zhang, J., Li, T., Pan, Y.: Parallel rough set based knowledge acquisition using mapreduce from big data. In: Proceedings of the 1st International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications, pp. 20–27. ACM (2012)
286.
Zurück zum Zitat Zhang, J., Li, T., Ruan, D., Gao, Z., Zhao, C.: A parallel method for computing rough set approximations. Inf. Sci. 194, 209–223 (2012)CrossRef Zhang, J., Li, T., Ruan, D., Gao, Z., Zhao, C.: A parallel method for computing rough set approximations. Inf. Sci. 194, 209–223 (2012)CrossRef
287.
Zurück zum Zitat Zhang, J., Li, T., Ruan, D., Liu, D.: Rough sets based matrix approaches with dynamic attribute variation in set-valued information systems. Int. J. Approximate Reasoning 53(4), 620–635 (2012)MathSciNetMATHCrossRef Zhang, J., Li, T., Ruan, D., Liu, D.: Rough sets based matrix approaches with dynamic attribute variation in set-valued information systems. Int. J. Approximate Reasoning 53(4), 620–635 (2012)MathSciNetMATHCrossRef
288.
Zurück zum Zitat Zhang, L., Hu, Q., Duan, J., Wang, X.: Multi-label feature selection with fuzzy rough sets. In: International Conference on Rough Sets and Knowledge Technology, pp. 121–128. Springer (2014) Zhang, L., Hu, Q., Duan, J., Wang, X.: Multi-label feature selection with fuzzy rough sets. In: International Conference on Rough Sets and Knowledge Technology, pp. 121–128. Springer (2014)
289.
Zurück zum Zitat Zhang, L., Li, H., Zhou, X., Huang, B., Shang, L.: Cost-sensitive sequential three-way decision for face recognition. In: International Conference on Rough Sets and Intelligent Systems Paradigms, pp. 375–383. Springer (2014) Zhang, L., Li, H., Zhou, X., Huang, B., Shang, L.: Cost-sensitive sequential three-way decision for face recognition. In: International Conference on Rough Sets and Intelligent Systems Paradigms, pp. 375–383. Springer (2014)
290.
Zurück zum Zitat Zhang, M.L., Zhou, Z.H.: Ml-knn: A lazy learning approach to multi-label learning. Pattern Recogn. 40(7), 2038–2048 (2007)MATHCrossRef Zhang, M.L., Zhou, Z.H.: Ml-knn: A lazy learning approach to multi-label learning. Pattern Recogn. 40(7), 2038–2048 (2007)MATHCrossRef
291.
Zurück zum Zitat Zhang, T., Chen, L., Ma, F.: An improved algorithm of rough k-means clustering based on variable weighted distance measure. Int. J. Database Theory Appl. 7(6), 163–174 (2014)CrossRef Zhang, T., Chen, L., Ma, F.: An improved algorithm of rough k-means clustering based on variable weighted distance measure. Int. J. Database Theory Appl. 7(6), 163–174 (2014)CrossRef
292.
Zurück zum Zitat Zhang, T., Chen, L., Ma, F.: A modified rough c-means clustering algorithm based on hybrid imbalanced measure of distance and density. Int. J. Approximate Reasoning 55(8), 1805–1818 (2014)MATHCrossRef Zhang, T., Chen, L., Ma, F.: A modified rough c-means clustering algorithm based on hybrid imbalanced measure of distance and density. Int. J. Approximate Reasoning 55(8), 1805–1818 (2014)MATHCrossRef
293.
Zurück zum Zitat Zhang, X., Miao, D.: Three-way weighted entropies and three-way attribute reduction. In: International Conference on Rough Sets and Knowledge Technology, pp. 707–719. Springer (2014) Zhang, X., Miao, D.: Three-way weighted entropies and three-way attribute reduction. In: International Conference on Rough Sets and Knowledge Technology, pp. 707–719. Springer (2014)
294.
Zurück zum Zitat Zhang, Y., Zhou, Z.H.: Cost-sensitive face recognition. IEEE Trans. Pattern Anal. Mach. Intell. 32(10), 1758–1769 (2010)CrossRef Zhang, Y., Zhou, Z.H.: Cost-sensitive face recognition. IEEE Trans. Pattern Anal. Mach. Intell. 32(10), 1758–1769 (2010)CrossRef
295.
Zurück zum Zitat Zhao, H., Min, F., Zhu, W.: Test-cost-sensitive attribute reduction based on neighborhood rough set. In: 2011 IEEE International Conference on Granular Computing (GrC), pp. 802–806. IEEE (2011) Zhao, H., Min, F., Zhu, W.: Test-cost-sensitive attribute reduction based on neighborhood rough set. In: 2011 IEEE International Conference on Granular Computing (GrC), pp. 802–806. IEEE (2011)
296.
Zurück zum Zitat Zhao, H., Wang, P., Hu, Q.: Cost-sensitive feature selection based on adaptive neighborhood granularity with multi-level confidence. Inf. Sci. 366, 134–149 (2016)MathSciNetCrossRef Zhao, H., Wang, P., Hu, Q.: Cost-sensitive feature selection based on adaptive neighborhood granularity with multi-level confidence. Inf. Sci. 366, 134–149 (2016)MathSciNetCrossRef
297.
Zurück zum Zitat Zhao, M., Luo, K., Liao, X.X.: Rough set attribute reduction algorithm based on immune genetic algorithm. Jisuanji Gongcheng yu Yingyong (Comput. Eng. Appl.) 42(23), 171–173 (2007) Zhao, M., Luo, K., Liao, X.X.: Rough set attribute reduction algorithm based on immune genetic algorithm. Jisuanji Gongcheng yu Yingyong (Comput. Eng. Appl.) 42(23), 171–173 (2007)
298.
Zurück zum Zitat Zhao, S., Chen, H., Li, C., Du, X., Sun, H.: A novel approach to building a robust fuzzy rough classifier. IEEE Trans. Fuzzy Syst. 23(4), 769–786 (2015)CrossRef Zhao, S., Chen, H., Li, C., Du, X., Sun, H.: A novel approach to building a robust fuzzy rough classifier. IEEE Trans. Fuzzy Syst. 23(4), 769–786 (2015)CrossRef
299.
Zurück zum Zitat Zhao, S., Tsang, E.C., Chen, D.: The model of fuzzy variable precision rough sets. IEEE Trans. Fuzzy Syst. 17(2), 451–467 (2009)CrossRef Zhao, S., Tsang, E.C., Chen, D.: The model of fuzzy variable precision rough sets. IEEE Trans. Fuzzy Syst. 17(2), 451–467 (2009)CrossRef
300.
Zurück zum Zitat Zhao, S., Tsang, E.C., Chen, D., Wang, X.: Building a rule-based classifier–a fuzzy-rough set approach. IEEE Trans. Knowl. Data Eng. 22(5), 624–638 (2010) Zhao, S., Tsang, E.C., Chen, D., Wang, X.: Building a rule-based classifier–a fuzzy-rough set approach. IEEE Trans. Knowl. Data Eng. 22(5), 624–638 (2010)
301.
Zurück zum Zitat Zheng, Z., Wang, G., Wu, Y.: A rough set and rule tree based incremental knowledge acquisition algorithm. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 122–129. Springer (2003) Zheng, Z., Wang, G., Wu, Y.: A rough set and rule tree based incremental knowledge acquisition algorithm. In: International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, pp. 122–129. Springer (2003)
302.
Zurück zum Zitat Zhong, N., Dong, J., Ohsuga, S.: Using rough sets with heuristics for feature selection. J. Intell. Inf. Syst. 16(3), 199–214 (2001)MATHCrossRef Zhong, N., Dong, J., Ohsuga, S.: Using rough sets with heuristics for feature selection. J. Intell. Inf. Syst. 16(3), 199–214 (2001)MATHCrossRef
303.
Zurück zum Zitat Zhou, Z.H.: Cost-sensitive learning. In: International Conference on Modeling Decisions for Artificial Intelligence, pp. 17–18. Springer (2011) Zhou, Z.H.: Cost-sensitive learning. In: International Conference on Modeling Decisions for Artificial Intelligence, pp. 17–18. Springer (2011)
304.
Zurück zum Zitat Zhou, Z.H., Liu, X.Y.: Training cost-sensitive neural networks with methods addressing the class imbalance problem. IEEE Trans. Knowl. Data Eng. 18(1), 63–77 (2006)CrossRef Zhou, Z.H., Liu, X.Y.: Training cost-sensitive neural networks with methods addressing the class imbalance problem. IEEE Trans. Knowl. Data Eng. 18(1), 63–77 (2006)CrossRef
308.
Zurück zum Zitat Zou, W., Li, T., Chen, H., Ji, X.: Approaches for incrementally updating approximations based on set-valued information systems while attribute values’ coarsening and refining. In: 2009 IEEE International Conference on Granular Computing (2009) Zou, W., Li, T., Chen, H., Ji, X.: Approaches for incrementally updating approximations based on set-valued information systems while attribute values’ coarsening and refining. In: 2009 IEEE International Conference on Granular Computing (2009)
Metadaten
Titel
Rough Sets in Machine Learning: A Review
verfasst von
Rafael Bello
Rafael Falcon
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-54966-8_5