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2015 | OriginalPaper | Buchkapitel

A Moderate Attribute Reduction Approach in Decision-Theoretic Rough Set

verfasst von : Hengrong Ju, Xibei Yang, Pei Yang, Huaxiong Li, Xianzhong Zhou

Erschienen in: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing

Verlag: Springer International Publishing

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Abstract

Attribute reduction is an important topic in Decision-Theoretic Rough Set theory. To overcome the limitations of lower-approximation-monotonicity based reduct and cost minimum based reduct, a moderate attribute reduction approach is proposed in this paper, which combines the lower approximation monotonicity criterion and cost minor criterion. Furthermore, the proposed attribute reduct is searched by solving an optimization problem, and a fusion fitness function is proposed in a generic algorithm, such that the reduct is computed in a low time complexity. Experimental analysis is included to validate the theoretic analysis and quantify the effectiveness of the proposed attribute reduction algorithm. This study indicates that the optimality is not the best and sub-optimum may be the best choice.

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Literatur
1.
Zurück zum Zitat Yao, Y.Y., Wong, S.K.M., Lingras, P.: A decision-theoretic rough set model. In: Ras, Z.W., Zemankova, M., Emrich, M.L. (eds.) Methodologies for Intelligent Systems, vol. 5, pp. 17–24. North-Holland, New York (1990) Yao, Y.Y., Wong, S.K.M., Lingras, P.: A decision-theoretic rough set model. In: Ras, Z.W., Zemankova, M., Emrich, M.L. (eds.) Methodologies for Intelligent Systems, vol. 5, pp. 17–24. North-Holland, New York (1990)
2.
Zurück zum Zitat Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximating concepts. Int. J. Man Mach. Stud. 37, 793–809 (1992)CrossRef Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximating concepts. Int. J. Man Mach. Stud. 37, 793–809 (1992)CrossRef
3.
Zurück zum Zitat Jia, X.Y., Tang, Z.M., Liao, W.H., et al.: On an optimization representation of decision-theoretic rough set model. Int. J. Approx. Reason. 55, 156–166 (2014)MathSciNetCrossRefMATH Jia, X.Y., Tang, Z.M., Liao, W.H., et al.: On an optimization representation of decision-theoretic rough set model. Int. J. Approx. Reason. 55, 156–166 (2014)MathSciNetCrossRefMATH
4.
Zurück zum Zitat Li, H., Zhou, X., Zhao, J., Huang, B.: Cost-sensitive classification based on decision-theoretic rough set model. In: Li, T., Nguyen, H.S., Wang, G., Grzymala-Busse, J., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS, vol. 7414, pp. 379–388. Springer, Heidelberg (2012) CrossRef Li, H., Zhou, X., Zhao, J., Huang, B.: Cost-sensitive classification based on decision-theoretic rough set model. In: Li, T., Nguyen, H.S., Wang, G., Grzymala-Busse, J., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS, vol. 7414, pp. 379–388. Springer, Heidelberg (2012) CrossRef
5.
Zurück zum Zitat Li, H., Zhou, X., Huang, B., Liu, D.: Cost-sensitive three-way decision: a sequential strategy. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds.) RSKT 2013. LNCS, vol. 8171, pp. 325–337. Springer, Heidelberg (2013) CrossRef Li, H., Zhou, X., Huang, B., Liu, D.: Cost-sensitive three-way decision: a sequential strategy. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds.) RSKT 2013. LNCS, vol. 8171, pp. 325–337. Springer, Heidelberg (2013) CrossRef
6.
Zurück zum Zitat Liang, D.C., Liu, D., Pedrycz, W., Hu, P.: Triangular fuzzy decision-theoretic rough sets. Int. J. Approx. Reason. 54, 1087–1106 (2013)CrossRefMATH Liang, D.C., Liu, D., Pedrycz, W., Hu, P.: Triangular fuzzy decision-theoretic rough sets. Int. J. Approx. Reason. 54, 1087–1106 (2013)CrossRefMATH
7.
Zurück zum Zitat Liang, D.C., Liu, D.: Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inform. Sci. 276, 186–203 (2014)CrossRef Liang, D.C., Liu, D.: Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inform. Sci. 276, 186–203 (2014)CrossRef
8.
Zurück zum Zitat Liu, D., Li, T.R., Li, H.X.: A multiple-category classification approach with decision-theoretic rough sets. Fundam. Inform. 115, 173–188 (2012)MathSciNetCrossRefMATH Liu, D., Li, T.R., Li, H.X.: A multiple-category classification approach with decision-theoretic rough sets. Fundam. Inform. 115, 173–188 (2012)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Liu, D., Li, T.R., Liang, D.C.: Incorporating logistic regression to decision-theoretic rough sets for classification. Int. J. Approx. Reason. 55(1), 197–210 (2014)MathSciNetCrossRefMATH Liu, D., Li, T.R., Liang, D.C.: Incorporating logistic regression to decision-theoretic rough sets for classification. Int. J. Approx. Reason. 55(1), 197–210 (2014)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Yu, H., Liu, Z.G., Wang, G.Y.: An automatic method to determine the number of clusters using decision-theoretic rough set. Int. J. Approx. Reason. 55, 101–115 (2014)MathSciNetCrossRefMATH Yu, H., Liu, Z.G., Wang, G.Y.: An automatic method to determine the number of clusters using decision-theoretic rough set. Int. J. Approx. Reason. 55, 101–115 (2014)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Qian, Y.H., Zhan, G.H., Sang, Y.L., et al.: Multigranulation decision-theoretic rough sets. Int. J. Approx. Reason. 55, 225–237 (2013)MathSciNetCrossRefMATH Qian, Y.H., Zhan, G.H., Sang, Y.L., et al.: Multigranulation decision-theoretic rough sets. Int. J. Approx. Reason. 55, 225–237 (2013)MathSciNetCrossRefMATH
13.
Zurück zum Zitat Li, W.T., Xu, W.H.: Multigranulation decision-theoretic rough set in ordered information system. Fundam. Inform. 139, 67–89 (2015)MathSciNetCrossRefMATH Li, W.T., Xu, W.H.: Multigranulation decision-theoretic rough set in ordered information system. Fundam. Inform. 139, 67–89 (2015)MathSciNetCrossRefMATH
14.
Zurück zum Zitat Li, W., Xu, W.: Probabilistic rough set model based on dominance relation. In: Miao, D., Pedrycz, W., Slezak, D., Peters, G., Hu, Q., Wang, R. (eds.) RSKT 2014. LNCS, vol. 8818, pp. 856–864. Springer, Heidelberg (2014) CrossRef Li, W., Xu, W.: Probabilistic rough set model based on dominance relation. In: Miao, D., Pedrycz, W., Slezak, D., Peters, G., Hu, Q., Wang, R. (eds.) RSKT 2014. LNCS, vol. 8818, pp. 856–864. Springer, Heidelberg (2014) CrossRef
15.
Zurück zum Zitat Ju, H.R., Yang, X.B., Song, X.N., et al.: Dynamic updating multigranulation fuzzy rough set: approximations and reducts. Int. J. Mach. Learn. Cyber. 5(6), 981–990 (2014)CrossRef Ju, H.R., Yang, X.B., Song, X.N., et al.: Dynamic updating multigranulation fuzzy rough set: approximations and reducts. Int. J. Mach. Learn. Cyber. 5(6), 981–990 (2014)CrossRef
16.
Zurück zum Zitat Ju, H.R., Yang, X.B., Dou, H.L., et al.: Variable precision multigranulation rough set and attributes reduction. Trans. Rough Set 8, 52–68 (2014) Ju, H.R., Yang, X.B., Dou, H.L., et al.: Variable precision multigranulation rough set and attributes reduction. Trans. Rough Set 8, 52–68 (2014)
17.
Zurück zum Zitat Zhao, Y., Wong, S.K.M., Yao, Y.: A note on attribute reduction in the decision-theoretic rough set model. In: Peters, J.F., Skowron, A., Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) Transactions on Rough Sets XIII. LNCS, vol. 6499, pp. 260–275. Springer, Heidelberg (2011) CrossRef Zhao, Y., Wong, S.K.M., Yao, Y.: A note on attribute reduction in the decision-theoretic rough set model. In: Peters, J.F., Skowron, A., Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) Transactions on Rough Sets XIII. LNCS, vol. 6499, pp. 260–275. Springer, Heidelberg (2011) CrossRef
18.
Zurück zum Zitat Ma, X.A., Wang, G.Y., Yu, H., et al.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inform. Sci. 278, 614–640 (2014)MathSciNetCrossRefMATH Ma, X.A., Wang, G.Y., Yu, H., et al.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inform. Sci. 278, 614–640 (2014)MathSciNetCrossRefMATH
19.
20.
Zurück zum Zitat Li, H.X., Zhou, X.Z., Zhao, J.B., et al.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundam. Inform. 126(4), 415–432 (2013)MathSciNetCrossRefMATH Li, H.X., Zhou, X.Z., Zhao, J.B., et al.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundam. Inform. 126(4), 415–432 (2013)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Jia, X.Y., Liao, W.H., Tang, Z.M., et al.: Minimum cost attribute reduction in decision-theoretic rough set models. Inform. Sci. 219, 151–167 (2013)MathSciNetCrossRefMATH Jia, X.Y., Liao, W.H., Tang, Z.M., et al.: Minimum cost attribute reduction in decision-theoretic rough set models. Inform. Sci. 219, 151–167 (2013)MathSciNetCrossRefMATH
22.
Zurück zum Zitat Yang, X.B., Song, X.N., Chen, Z.H., et al.: On multigranulation rough sets in incomplete information system. Int. J. Mach. Learn. Cyb. 3, 223–232 (2012)CrossRef Yang, X.B., Song, X.N., Chen, Z.H., et al.: On multigranulation rough sets in incomplete information system. Int. J. Mach. Learn. Cyb. 3, 223–232 (2012)CrossRef
23.
Zurück zum Zitat Yang, X.B., Qi, Y.S., Song, X.N., et al.: Test cost sensitive multigranulation rough set: model and minimal cost selection. Inform. Sci. 250, 184–199 (2013)MathSciNetCrossRefMATH Yang, X.B., Qi, Y.S., Song, X.N., et al.: Test cost sensitive multigranulation rough set: model and minimal cost selection. Inform. Sci. 250, 184–199 (2013)MathSciNetCrossRefMATH
24.
Zurück zum Zitat Yang, X.B., Song, X.N., She, Y.H., et al.: Hierarchy on multigranulation structures: a knowledge distance approach. Int. J. Gen. Syst. 42(7), 754–773 (2013)MathSciNetCrossRefMATH Yang, X.B., Song, X.N., She, Y.H., et al.: Hierarchy on multigranulation structures: a knowledge distance approach. Int. J. Gen. Syst. 42(7), 754–773 (2013)MathSciNetCrossRefMATH
25.
Zurück zum Zitat Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approx. Reason. 49, 255–271 (2008)CrossRefMATH Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approx. Reason. 49, 255–271 (2008)CrossRefMATH
26.
Zurück zum Zitat Yao, Y.: Three-way decision: an interpretation of rules in rough set theory. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds.) RSKT 2009. LNCS, vol. 5589, pp. 642–649. Springer, Heidelberg (2009) CrossRef Yao, Y.: Three-way decision: an interpretation of rules in rough set theory. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds.) RSKT 2009. LNCS, vol. 5589, pp. 642–649. Springer, Heidelberg (2009) CrossRef
27.
Zurück zum Zitat Yao, Y., Zhou, B.: Naive Bayesian rough sets. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds.) RSKT 2010. LNCS, vol. 6401, pp. 719–726. Springer, Heidelberg (2010) CrossRef Yao, Y., Zhou, B.: Naive Bayesian rough sets. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds.) RSKT 2010. LNCS, vol. 6401, pp. 719–726. Springer, Heidelberg (2010) CrossRef
28.
Zurück zum Zitat Yang, X., Qi, Y., Yu, H., Yang, J.: Want more? Pay more!. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds.) RSCTC 2014. LNCS, vol. 8536, pp. 144–151. Springer, Heidelberg (2014) Yang, X., Qi, Y., Yu, H., Yang, J.: Want more? Pay more!. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds.) RSCTC 2014. LNCS, vol. 8536, pp. 144–151. Springer, Heidelberg (2014)
Metadaten
Titel
A Moderate Attribute Reduction Approach in Decision-Theoretic Rough Set
verfasst von
Hengrong Ju
Xibei Yang
Pei Yang
Huaxiong Li
Xianzhong Zhou
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-25783-9_34