Skip to main content
Top
Published in: International Journal of Machine Learning and Cybernetics 5/2020

27-02-2020 | Original Article

Knowledge granularity based incremental attribute reduction for incomplete decision systems

Authors: Chucai Zhang, Jianhua Dai, Jiaolong Chen

Published in: International Journal of Machine Learning and Cybernetics | Issue 5/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Attribute reduction is an important application of rough set theory. With the dynamic changes of data becoming more and more common, traditional attribute reduction, also called static attribute reduction, is no longer efficient. How to update attribute reducts efficiently gets more and more attention. In the light of the variation about the number of objects, we focus on incremental attribute reduction approaches based on knowledge granularity which can be used to measure the uncertainty in incomplete decision systems. We first introduce incremental mechanisms to calculate knowledge granularity for incomplete decision systems when multiple objects vary dynamically. Then, incremental attribute reduction algorithms for incomplete decision systems when adding multiple objects and when deleting multiple objects are proposed respectively. Finally, comparative experiments on different real-life data sets are conducted to demonstrate the effectiveness and efficiency of the proposed incremental algorithms for updating attribute reducts with the variation of multiple objects in incomplete decision systems.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Show more products
Literature
1.
go back to reference Pawlak Z (1991) Rough sets: theoretical aspect of reasoning about data. Kluwer Academic Publishers, DordrechtMATH Pawlak Z (1991) Rough sets: theoretical aspect of reasoning about data. Kluwer Academic Publishers, DordrechtMATH
2.
go back to reference Wang R, Wang X, Kwong S, Xu C (2017) Incorporating diversity and informativeness in multiple-instance active learning. IEEE Trans Fuzzy Syst 25(6):1460–1475 Wang R, Wang X, Kwong S, Xu C (2017) Incorporating diversity and informativeness in multiple-instance active learning. IEEE Trans Fuzzy Syst 25(6):1460–1475
3.
go back to reference Wang X, Tsang ECC, Zhao S, Chen D, Yeung DS (2007) Learning fuzzy rules from fuzzy samples based on rough set technique. Inf Sci 177(20):4493–4514MathSciNetMATH Wang X, Tsang ECC, Zhao S, Chen D, Yeung DS (2007) Learning fuzzy rules from fuzzy samples based on rough set technique. Inf Sci 177(20):4493–4514MathSciNetMATH
4.
go back to reference Wang X, Xing H, Li Y, Hua Q, Dong C, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654 Wang X, Xing H, Li Y, Hua Q, Dong C, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654
5.
go back to reference Dai J, Tian H, Wang W, Liu L (2013) Decision rule mining using classification consistency rate. Knowl-Based Syst 43:95–102 Dai J, Tian H, Wang W, Liu L (2013) Decision rule mining using classification consistency rate. Knowl-Based Syst 43:95–102
6.
go back to reference Zhao B, Ren Y, Gao D (2019) Prediction of service life of large centrifugal compressor remanufactured impeller based on clustering rough set and fuzzy bandelet neural network. Appl Soft Comput 78:132–140 Zhao B, Ren Y, Gao D (2019) Prediction of service life of large centrifugal compressor remanufactured impeller based on clustering rough set and fuzzy bandelet neural network. Appl Soft Comput 78:132–140
7.
go back to reference Hao C, Li J, Fan M, Liu W, Tsang ECC (2017) Optimal scale selection in dynamic multi-scale decision tables based on sequential three-way decisions. Inf Sci 415:213–232 Hao C, Li J, Fan M, Liu W, Tsang ECC (2017) Optimal scale selection in dynamic multi-scale decision tables based on sequential three-way decisions. Inf Sci 415:213–232
8.
go back to reference Liang D, Xu Z, Liu D (2017) Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy information. Inf Sci 396:127–143MATH Liang D, Xu Z, Liu D (2017) Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy information. Inf Sci 396:127–143MATH
9.
go back to reference Wang X, Zhai J, Lu S (2008) Induction of multiple fuzzy decision trees based on rough set technique. Inf Sci 178(16):3188–3202MathSciNetMATH Wang X, Zhai J, Lu S (2008) Induction of multiple fuzzy decision trees based on rough set technique. Inf Sci 178(16):3188–3202MathSciNetMATH
10.
go back to reference Liu X, Qian Y, Liang J (2014) A rule-extraction framework under multigranulation rough sets. Int J Mach Learn Cybern 5(2):319–326 Liu X, Qian Y, Liang J (2014) A rule-extraction framework under multigranulation rough sets. Int J Mach Learn Cybern 5(2):319–326
11.
go back to reference Zhang X, Mei C, Chen D, Li J (2014) Multi-confidence rule acquisition and confidence-preserved attribute reduction in interval-valued decision systems. Int J Approx Reason 55(8):1787–1804MathSciNetMATH Zhang X, Mei C, Chen D, Li J (2014) Multi-confidence rule acquisition and confidence-preserved attribute reduction in interval-valued decision systems. Int J Approx Reason 55(8):1787–1804MathSciNetMATH
12.
go back to reference Cheruku R, Edla DR, Kuppili V, Dharavath R (2018) RST-BatMiner: a fuzzy rule miner integrating rough set feature selection and bat optimization for detection of diabetes disease. Appl Soft Comput 67:764–780 Cheruku R, Edla DR, Kuppili V, Dharavath R (2018) RST-BatMiner: a fuzzy rule miner integrating rough set feature selection and bat optimization for detection of diabetes disease. Appl Soft Comput 67:764–780
13.
go back to reference Hamouda SKM, Wahed ME, Alez RHA, Riad K (2018) Robust breast cancer prediction system based on rough set theory at National Cancer Institute of Egypt. Comput Methods Programs Biomed 153:259–268 Hamouda SKM, Wahed ME, Alez RHA, Riad K (2018) Robust breast cancer prediction system based on rough set theory at National Cancer Institute of Egypt. Comput Methods Programs Biomed 153:259–268
14.
go back to reference Jothi G, Inbarani HH (2016) Hybrid tolerance rough set-firefly based supervised feature selection for MRI brain tumor image classification. Appl Soft Comput 46:639–651 Jothi G, Inbarani HH (2016) Hybrid tolerance rough set-firefly based supervised feature selection for MRI brain tumor image classification. Appl Soft Comput 46:639–651
15.
go back to reference Dai J, Xu Q (2013) Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification. Appl Soft Comput 13(1):211–221 Dai J, Xu Q (2013) Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification. Appl Soft Comput 13(1):211–221
16.
go back to reference Sun L, Zhang X, Qian Y, Xu J, Zhang S, Tian Y (2019) Joint neighborhood entropy-based gene selection method with fisher score for tumor classification. Appl Intell 49(4):1245–1259 Sun L, Zhang X, Qian Y, Xu J, Zhang S, Tian Y (2019) Joint neighborhood entropy-based gene selection method with fisher score for tumor classification. Appl Intell 49(4):1245–1259
17.
go back to reference Dai J, Wang W, Xu Q, Tian H (2012) Uncertainty measurement for interval-valued decision systems based on extended conditional entropy. Knowl Based Syst 27:443–450 Dai J, Wang W, Xu Q, Tian H (2012) Uncertainty measurement for interval-valued decision systems based on extended conditional entropy. Knowl Based Syst 27:443–450
18.
go back to reference Dai J, Wang W, Mi J (2013) Uncertainty measurement for interval-valued information systems. Inf Sci 251:63–78MathSciNetMATH Dai J, Wang W, Mi J (2013) Uncertainty measurement for interval-valued information systems. Inf Sci 251:63–78MathSciNetMATH
19.
go back to reference Dai J, Hu H, Hu Q, Huang W, Zheng N, Liu L (2018) Locally linear approximation approach for incomplete data. IEEE Trans Cybern 48(6):1720–1732 Dai J, Hu H, Hu Q, Huang W, Zheng N, Liu L (2018) Locally linear approximation approach for incomplete data. IEEE Trans Cybern 48(6):1720–1732
20.
go back to reference Wang C, Huang Y, Shao M, Chen D (2019) Uncertainty measures for general fuzzy relations. Fuzzy Sets Syst 360:82–96MathSciNetMATH Wang C, Huang Y, Shao M, Chen D (2019) Uncertainty measures for general fuzzy relations. Fuzzy Sets Syst 360:82–96MathSciNetMATH
21.
go back to reference Dai J, Wei B, Zhang X, Zhang Q (2017b) Uncertainty measurement for incomplete interval-valued information systems based on \(\alpha\)-weak similarity. Knowl Based Syst 136:159–171 Dai J, Wei B, Zhang X, Zhang Q (2017b) Uncertainty measurement for incomplete interval-valued information systems based on \(\alpha\)-weak similarity. Knowl Based Syst 136:159–171
22.
go back to reference Ko YC, Fujita H, Li T (2017) An evidential analysis of Altman Z-score for financial predictions: case study on solar energy companies. Appl Soft Comput 52:748–759 Ko YC, Fujita H, Li T (2017) An evidential analysis of Altman Z-score for financial predictions: case study on solar energy companies. Appl Soft Comput 52:748–759
23.
go back to reference Lei L (2018) Wavelet neural network prediction method of stock price trend based on rough set attribute reduction. Appl Soft Comput 62:923–932 Lei L (2018) Wavelet neural network prediction method of stock price trend based on rough set attribute reduction. Appl Soft Comput 62:923–932
24.
go back to reference Singh AK, Baranwal N, Nandi GC (2019) A rough set based reasoning approach for criminal identification. Int J Mach Learn Cybern 10(3):413–431 Singh AK, Baranwal N, Nandi GC (2019) A rough set based reasoning approach for criminal identification. Int J Mach Learn Cybern 10(3):413–431
25.
go back to reference Wang X, Wang R, Xu C (2018b) Discovering the relationship between generalization and uncertainty by incorporating complexity of classification. IEEE Trans Cybern 48(2):703–715MathSciNet Wang X, Wang R, Xu C (2018b) Discovering the relationship between generalization and uncertainty by incorporating complexity of classification. IEEE Trans Cybern 48(2):703–715MathSciNet
26.
go back to reference Fan J, Jiang Y, Liu Y (2017) Quick attribute reduction with generalized indiscernibility models. Inf Sci 397:15–36 Fan J, Jiang Y, Liu Y (2017) Quick attribute reduction with generalized indiscernibility models. Inf Sci 397:15–36
27.
go back to reference Ni P, Zhao S, Wang X, Chen H, Li C (2019) PARA: a positive-region based attribute reduction accelerator. Inf Sci 503:533–550 Ni P, Zhao S, Wang X, Chen H, Li C (2019) PARA: a positive-region based attribute reduction accelerator. Inf Sci 503:533–550
28.
30.
go back to reference Konecny J, Krajca P (2018) On attribute reduction in concept lattices: experimental evaluation shows discernibility matrix based methods inefficient. Inf Sci 467:431–445 Konecny J, Krajca P (2018) On attribute reduction in concept lattices: experimental evaluation shows discernibility matrix based methods inefficient. Inf Sci 467:431–445
31.
go back to reference Wang C, He Q, Shao M, Hu Q (2018a) Feature selection based on maximal neighborhood discernibility. Int J Mach Learn Cybern 9(11):1929–1940 Wang C, He Q, Shao M, Hu Q (2018a) Feature selection based on maximal neighborhood discernibility. Int J Mach Learn Cybern 9(11):1929–1940
32.
go back to reference Dai J, Hu Q, Zhang J, Hu H, Zheng N (2017) Attribute selection for partially labeled categorical data by rough set approach. IEEE Trans Cybern 47(9):2460–2471 Dai J, Hu Q, Zhang J, Hu H, Zheng N (2017) Attribute selection for partially labeled categorical data by rough set approach. IEEE Trans Cybern 47(9):2460–2471
33.
go back to reference Dai J, Tian H (2013) Entropy measures and granularity measures for set-valued information systems. Inf Sci 240(11):72–82MathSciNetMATH Dai J, Tian H (2013) Entropy measures and granularity measures for set-valued information systems. Inf Sci 240(11):72–82MathSciNetMATH
34.
go back to reference Wang F, Liang J, Dang C (2013) Attribute reduction for dynamic data sets. Appl Soft Comput 13(1):676–689 Wang F, Liang J, Dang C (2013) Attribute reduction for dynamic data sets. Appl Soft Comput 13(1):676–689
35.
go back to reference Bhattacharya A, Goswami RT, Mukherjee K (2019) A feature selection technique based on rough set and improvised PSO algorithm (PSORS-FS) for permission based detection of android malwares. Int J Mach Learn Cybern 10(7):1893–1907 Bhattacharya A, Goswami RT, Mukherjee K (2019) A feature selection technique based on rough set and improvised PSO algorithm (PSORS-FS) for permission based detection of android malwares. Int J Mach Learn Cybern 10(7):1893–1907
36.
go back to reference Dai J, Hu Q, Hu H, Huang D (2018a) Neighbor inconsistent pair selection for attribute reduction by rough set approach. IEEE Trans Fuzzy Syst 26:937–950 Dai J, Hu Q, Hu H, Huang D (2018a) Neighbor inconsistent pair selection for attribute reduction by rough set approach. IEEE Trans Fuzzy Syst 26:937–950
37.
go back to reference Dai J, Hu H, Wu WZ, Qian Y, Huang D (2018) Maximal discernibility pairs based approach to attribute reduction in fuzzy rough sets. IEEE Trans Fuzzy Syst 26(4):2174–2187 Dai J, Hu H, Wu WZ, Qian Y, Huang D (2018) Maximal discernibility pairs based approach to attribute reduction in fuzzy rough sets. IEEE Trans Fuzzy Syst 26(4):2174–2187
38.
go back to reference Li F, Jin C, Yang J (2019) Roughness measure based on description ability for attribute reduction in information system. Int J Mach Learn Cybern 10(5):925–934 Li F, Jin C, Yang J (2019) Roughness measure based on description ability for attribute reduction in information system. Int J Mach Learn Cybern 10(5):925–934
39.
go back to reference Liu K, Yang X, Yu H, Mi J, Wang P, Chen X (2019) Rough set based semi-supervised feature selection via ensemble selector. Knowl Based Syst 165:282–296 Liu K, Yang X, Yu H, Mi J, Wang P, Chen X (2019) Rough set based semi-supervised feature selection via ensemble selector. Knowl Based Syst 165:282–296
40.
go back to reference Wang C, Huang Y, Shao M, Fan X (2019) Fuzzy rough set-based attribute reduction using distance measures. Knowl Based Syst 164:205–212 Wang C, Huang Y, Shao M, Fan X (2019) Fuzzy rough set-based attribute reduction using distance measures. Knowl Based Syst 164:205–212
41.
go back to reference Dai J, Han H, Hu Q, Liu M (2016) Discrete particle swarm optimization approach for cost sensitive attribute reduction. Knowl Based Syst 102:116–126 Dai J, Han H, Hu Q, Liu M (2016) Discrete particle swarm optimization approach for cost sensitive attribute reduction. Knowl Based Syst 102:116–126
42.
go back to reference Li Y, Jin Y, Sun X (2018) Incremental method of updating approximations in DRSA under variations of multiple objects. Int J Mach Learn Cybern 9(2):295–308 Li Y, Jin Y, Sun X (2018) Incremental method of updating approximations in DRSA under variations of multiple objects. Int J Mach Learn Cybern 9(2):295–308
43.
go back to reference Liang J, Wang F, Dang C, Qian Y (2014) A group incremental approach to feature selection applying rough set technique. IEEE Trans Knowl Data Eng 26(2):294–308 Liang J, Wang F, Dang C, Qian Y (2014) A group incremental approach to feature selection applying rough set technique. IEEE Trans Knowl Data Eng 26(2):294–308
44.
go back to reference Ma F, Ding M, Zhang T (2019) Compressed binary discernibility matrix based incremental attribute reduction algorithm for group dynamic data. Neurocomputing 294:20–27 Ma F, Ding M, Zhang T (2019) Compressed binary discernibility matrix based incremental attribute reduction algorithm for group dynamic data. Neurocomputing 294:20–27
45.
go back to reference Wei W, Song P, Liang J, Wu X (2019) Accelerating incremental attribute reduction algorithm by compacting a decision table. Int J Mach Learn Cybern 10(9):2355–2373 Wei W, Song P, Liang J, Wu X (2019) Accelerating incremental attribute reduction algorithm by compacting a decision table. Int J Mach Learn Cybern 10(9):2355–2373
46.
go back to reference Yang Y, Chen D, Wang H (2017) Active sample selection based incremental algorithm for attribute reduction with rough sets. IEEE Trans Fuzzy Syst 25(4):825–838 Yang Y, Chen D, Wang H (2017) Active sample selection based incremental algorithm for attribute reduction with rough sets. IEEE Trans Fuzzy Syst 25(4):825–838
47.
go back to reference Yang Y, Chen D, Wang H (2018) Incremental perspective for feature selection based on fuzzy rough sets. IEEE Trans Fuzzy Syst 26(3):1257–1273 Yang Y, Chen D, Wang H (2018) Incremental perspective for feature selection based on fuzzy rough sets. IEEE Trans Fuzzy Syst 26(3):1257–1273
48.
go back to reference Jing Y, Li T, Huang J, Zhang Y (2016a) An incremental attribute reduction approach based on knowledge granularity under the attribute generalization. Int J Approx Reason 76:80–95MathSciNetMATH Jing Y, Li T, Huang J, Zhang Y (2016a) An incremental attribute reduction approach based on knowledge granularity under the attribute generalization. Int J Approx Reason 76:80–95MathSciNetMATH
49.
go back to reference Jing Y, Li T, Huang J, Chen H, Horng SJ (2017) A group incremental reduction algorithm with varying data values. Int J Intell Syst 32(9):900–925 Jing Y, Li T, Huang J, Chen H, Horng SJ (2017) A group incremental reduction algorithm with varying data values. Int J Intell Syst 32(9):900–925
50.
go back to reference Wei W, Wu X, Liang J, Cui J, Sun Y (2018) Discernibility matrix based incremental attribute reduction for dynamic data. Knowl Based Syst 140:142–157 Wei W, Wu X, Liang J, Cui J, Sun Y (2018) Discernibility matrix based incremental attribute reduction for dynamic data. Knowl Based Syst 140:142–157
51.
go back to reference Jing Y, Li T, Fujita H, Wang B, Cheng N (2018) An incremental attribute reduction method for dynamic data mining. Inf Sci 465:202–218MathSciNet Jing Y, Li T, Fujita H, Wang B, Cheng N (2018) An incremental attribute reduction method for dynamic data mining. Inf Sci 465:202–218MathSciNet
52.
go back to reference Yang C, Ge H, Li L, Ding J (2019) A unified incremental reduction with the variations of the object for decision tables. Soft Comput 23(15):6407–6427MATH Yang C, Ge H, Li L, Ding J (2019) A unified incremental reduction with the variations of the object for decision tables. Soft Comput 23(15):6407–6427MATH
53.
go back to reference Shu W, Shen H (2014a) Incremental feature selection based on rough set in dynamic incomplete data. Pattern Recogn 47(12):3890–3906 Shu W, Shen H (2014a) Incremental feature selection based on rough set in dynamic incomplete data. Pattern Recogn 47(12):3890–3906
54.
go back to reference Shu W, Shen H (2014b) Updating attribute reduction in incomplete decision systems with the variation of attribute set. Int J Approx Reason 55(3):867–884MathSciNetMATH Shu W, Shen H (2014b) Updating attribute reduction in incomplete decision systems with the variation of attribute set. Int J Approx Reason 55(3):867–884MathSciNetMATH
55.
go back to reference Xie X, Qin X (2018) A novel incremental attribute reduction approach for dynamic incomplete decision systems. Int J Approx Reason 93:443–462MathSciNetMATH Xie X, Qin X (2018) A novel incremental attribute reduction approach for dynamic incomplete decision systems. Int J Approx Reason 93:443–462MathSciNetMATH
56.
go back to reference Luo C, Li T, Yao Y (2017) Dynamic probabilistic rough sets with incomplete data. Inf Sci 417:39–54 Luo C, Li T, Yao Y (2017) Dynamic probabilistic rough sets with incomplete data. Inf Sci 417:39–54
58.
59.
go back to reference Jing Y, Li T, Luo C, Horng SJ, Wang G, Yu Z (2016b) An incremental approach for attribute reduction based on knowledge granularity. Knowl Based Syst 104:24–38 Jing Y, Li T, Luo C, Horng SJ, Wang G, Yu Z (2016b) An incremental approach for attribute reduction based on knowledge granularity. Knowl Based Syst 104:24–38
Metadata
Title
Knowledge granularity based incremental attribute reduction for incomplete decision systems
Authors
Chucai Zhang
Jianhua Dai
Jiaolong Chen
Publication date
27-02-2020
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 5/2020
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-020-01089-4

Other articles of this Issue 5/2020

International Journal of Machine Learning and Cybernetics 5/2020 Go to the issue