Reduction target structure-based hierarchical attribute reduction for two-category decision-theoretic rough sets

Information Sciences

Volumn 277, Issue , 2014, Pages 755-776

  Zhang, Xianyong ^a,b,c   Miao, Duoqian ^b,c  

^a SICHUAN NORMAL UNIVERSITY   (China)

^b TONGJI UNIVERSITY   (China)

^c BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Attribute reduction; Consistency preservation; Decision theoretic rough set; Granular computing; Rough set theory; Structure target

Indexed keywords

DECISION TABLES; GRANULAR COMPUTING; SEMANTICS;

ATTRIBUTE REDUCTION; CONSISTENCY-PRESERVATION; DECISION-THEORETIC ROUGH SETS; HIERARCHICAL ATTRIBUTES; KNOWLEDGE STRUCTURES; REDUCTION TARGETS; STRUCTURE-BASED;

ROUGH SET THEORY;

EID: 84901788855     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.02.160     Document Type: Article

References (64)

1. N. Azam, J.T. Yao, Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.03.015.
2. M. Beynon Reducts within the variable precision rough sets model: a further investigation Eur. J. Oper. Res. 134 2001 592 605
3. T.F. Fan, D.R. Liu, and G.H. Tzeng Rough set-based logics for multicriteria decision analysis Eur. J. Oper. Res. 182 1 2007 340 355
4. S. Greco, B. Matarazzo, and R. Słowiński Parameterized rough set model using rough membership and bayesian confirmation measures Int. J. Approx. Reason. 49 2 2008 285 300
5. J.P. Herbert, and J.T. Yao Game-theoretic rough sets Fundam. Inform. 108 2011 267 286
6. B. Huang, H.X. Li, and D.K. Wei Dominance-based rough set model in intuitionistic fuzzy information systems Knowl.-Based Syst. 28 2012 115 123
7. M. Inuiguchi, Y. Yoshioka, and Y. Kusunoki Variable-precision dominance-based rough set approach and attribute reduction Int. J. Approx. Reason. 50 8 2009 1199 1214
8. X.Y. Jia, W.H. Liao, Z.M. Tang, and L. Shang Minimum cost attribute reduction in decision-theoretic rough set models Inform. Sci. 219 10 2013 151 167
9. X.Y. Jia, Z.M. Tang, W.H. Liao, L. Shang, On an optimization representation of decision-theoretic rough set model, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.02.010.
10. Y.C. Jiang, J. Wang, S.Q. Tang, and B. Xiao Reasoning with rough description logics: an approximate concepts approach Inform. Sci. 179 5 2009 600 612
11. X.P. Kang, D.Y. Li, S.G. Wang, and K.S. Qu Rough set model based on formal concept analysis Inform. Sci. 222 2013 611 625
12. F. Li, M. Ye, X.D. Chen, An extension to rough c-means clustering based on decision-theoretic rough set model, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.05.005.
13. H.X. Li, X.Z. Zhou, J.B. Zhao, and D. Liu Attribute reduction in decision-theoretic rough set model: a further investigation Lecture Notes in Computer Science 6954 2011 466 475
14. M. Li, C.X. Shang, S.Z. Feng, J.P. Fan, Quick attribute reduction in inconsistent decision tables, Inform. Sci., http://dx.doi.org/10.1016/j.ins. 2013.08.038.
15. D.C. Liang, D. Liu, W. Pedrycz, and P. Hu Triangular fuzzy decision-theoretic rough sets Int. J. Approx. Reason. 54 8 2013 1087 1106
16. J.Y. Liang, J.R. Mi, W. Wei, and F. Wang An accelerator for attribute reduction based on perspective of objects and attributes Knowl.-Based Syst. 44 2013 90 100
17. T.Y. Lin, and Q. Liu First-order rough logic I: approximate reasoning via rough sets Fundam. Inform. 27 2 1996 137 153
18. P. Lingras, M. Chen, and D.Q. Miao Rough cluster quality index based on decision theory IEEE Trans. Knowl. Data Eng. 21 7 2009 1014 1026
19. P. Lingras, M. Chen, and D.Q. Miao Rough multi-category decision theoretic framework Lecture Notes in Computer Science 5009 2008 676 683
20. P. Lingras, M. Chen, and D.Q. Miao Semi-supervised rough cost/benefit decisions Fundam. Inform. 94 2 2009 233 244
21. C.H. Liu, D.Q. Miao, N. Zhang, and C. Gao Graded rough set model based on two universes and its properties Knowl.-Based Syst. 33 2012 65 72
22. D. Liu, T.R. Li, and H.X. Li A multiple-category classification approach with decision-theoretic rough sets Fundam. Inform. 115 2-3 2012 173 188
23. D. Liu, T.R. Li, D.C. Liang, Incorporating logistic regression to decision-theoretic rough sets for classifications, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.02.013.
24. D. Liu, T.R. Li, and D. Ruan Probabilistic model criteria with decision-theoretic rough sets Inform. Sci. 181 2011 3709 3722
25. J.S. Mi, W.Z. Wu, and W.X. Zhang Approaches to knowledge reduction based on variable precision rough set model Inform. Sci. 159 3-4 2004 255 272
26. D.Q. Miao, Y. Zhao, Y.Y. Yao, H.X. Li, and F.F. Xu Relative reducts in consistent and inconsistent decision tables of the Pawlak rough set model Inform. Sci. 179 2009 4140 4150
27. A. Nakamura A rough logic based on incomplete information and its application Int. J. Approx. Reason. 15 4 1996 367 378
28. Z. Pawlak Rough sets Int. J. Inform. Comput. Sci. 11 5 1982 341 356
29. Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning about Data System Theory, Knowledge Engineering and Problem Solving vol. 9 1991 Kluwer Academic Publishers Dordrecht, The Netherlands
30. Z. Pawlak, and A. Skowron Rough membership functions Advances in the Dempster-Shafer Theory of Evidence 1994 John Wiley and Sons New York 251 271
31. Z. Pawlak, and A. Skowron Rudiments of rough sets Inform. Sci. 177 2007 3 27
32. W. Pedrycz Allocation of information granularity in optimization and decision-making models: towards building the foundations of granular computing Eur. J. Oper. Res. 232 1 2014 137 145
33. W. Pedrycz Granular Computing: Analysis and Design of Intelligent Systems 2013 CRC Press Francis Taylor, Boca Raton
34. Y.H. Qian, H. Zhang, Y.L. Sang, J.Y. Liang, Multigranulation decision-theoretic rough sets, Int. J. Approx. Reason., http://dx.doi.org/10. 1016/j.ijar.2013.03.004.
35. K.Y. Qin, Z. Pei, J.L. Yang, and Y. Xu Approximation operators on complete completely distributive lattices Inform. Sci. 247 2013 123 130
36. Y.H. She, and X.L. He Uncertainty measures for rough formulae in rough logic: an axiomatic approach Comput. Math. Appl. 63 1 2012 83 93
37. Y.H. She, L.N. Ma, On the rough consistency measures of logic theories and approximate reasoning in rough logic, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.10.001.
38. A. Skowron, J. Stepaniuk, and R. Swiniarski Modeling rough granular computing based on approximation spaces Inform. Sci. 184 1 2012 20 43
39. D. Slezak, W. Ziarko, Bayesian rough set model, in: Proc. of the International Workshop on Foundation of Data Mining (FDM2002), Maebashi, Japan, 2002, pp. 131-135.
40. D. Slezak, and W. Ziarko The investigation of the bayesian rough set model Int. J. Approx. Reason. 40 1-2 2005 81 91
41. C.Z. Wang, Q. He, D.G. Chen, Q.H. Hu, A novel method for attribute reduction of covering decision systems, Inform. Sci., http://dx.doi.org/10.1016/ j.ins.2013.08.057.
42. F. Wang, J.Y. Liang, and C.Y. Dang Attribute reduction for dynamic data sets Appl. Soft Comput. 13 1 2013 676 689
43. J.Y. Wang, and J. Zhou Research of reduct features in the variable precision rough set model Neurocomputing 72 2009 2643 2648
44. S.K.M. Wong, and W. Ziarko Comparison of the probabilistic approximate classification and the fuzzy set model Fuzzy Sets Syst. 21 1987 357 362
45. W.H. Xu, J.Z. Pang, S.Q. Luo, A novel cognitive system model and approach to transformation of information granules, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.10.002.
46. Y.Y. Yao The superiority of three-way decision in probabilistic rough set models Inform. Sci. 181 2011 1080 1096
47. Y.Y. Yao Three-way decisions with probabilistic rough sets Inform. Sci. 180 2010 341 353
48. Y.Y. Yao, and T.Y. Lin Generalization of rough sets using modal logics Intell. Autom. Soft Comput. 2 2 1996 103 120
49. Y.Y. Yao, T.Y. Lin, Graded rough set approximations based on nested neighborhood systems, in: H.J. Zimmermann (Ed.), Proceedings of 5th European Congress on Intelligent Techniques and Soft Computing, EUFIT'97, vol. 1, Verlag Mainz, Aachen, 1997, pp. 196-200.
50. Y.Y. Yao, S.K.M. Wong, and P. Lingras A decision-theoretic rough set model Z.W. Ras, M. Zemankova, M.L. Emrich, The 5th International Symposium on Methodologies for Intelligent Systems 1990 North-Holland New York 17 25
51. Y.Y. Yao, and Y. Zhao Attribute reduction in decision-theoretic rough set models Inform. Sci. 178 17 2008 3356 3373
52. D.Y. Ye, Z.J. Chen, and S.L. Ma A novel and better fitness evaluation for rough set based minimum attribute reduction problem Inform. Sci. 222 2013 413 423
53. H. Yu, Z.G. Liu, G.Y. Wang, An automatic method to determine the number of clusters using decision-theoretic rough set, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.03.018.
54. H.Y. Zhang, J. Zhou, D.Q. Miao, and C. Gao Bayesian rough set model: a further investigation Int. J. Approx. Reason. 53 2012 541 557
55. J.B. Zhang, J.S. Wong, T.R. Li, Y. Pan, A comparison of parallel large-scale knowledge acquisition using rough set theory on different MapReduce runtime systems, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013. 08.003.
56. X.H. Zhang, B. Zhou, and P. Li A general frame for intuitionistic fuzzy rough sets Inform. Sci. 216 2012 34 49
57. X.Y. Zhang, D.Q. Miao, and Quantitative information architecture granular computing and rough set models in the double-quantitative approximation space on precision and grade Inform. Sci. 268 2014 147 168
58. X.Y. Zhang, and D.Q. Miao Two basic double-quantitative rough set models of precision and grade and their investigation using granular computing Int. J. Approx. Reason. 54 8 2013 1130 1148
59. X.Y. Zhang, Z.W. Mo, F. Xiong, and W. Cheng Comparative study of variable precision rough set model and graded rough set model Int. J. Approx. Reason. 53 1 2012 104 116
60. S.Y. Zhao, X.Z. Wang, D.G. Chen, and E.C.C. Tsang Nested structure in parameterized rough reduction Inform. Sci. 248 2013 130 150
61. Y. Zhao, S.K.M. Wong, and Y.Y. Yao A note on attribute reduction in the decision-theoretic rough set model LNCS Transactions on Rough Sets XIII 6499 2011 260 275
62. B. Zhou, Multi-class decision-theoretic rough sets, Int. J. Approx. Reason., http://dx.doi.org/10.1016/j.ijar.2013.04.006.
63. J. Zhou, and D.Q. Miao β-Interval attribute reduction in variable precision rough set model Soft Comput. 15 8 2011 1643 1656
64. W. Ziarko Variable precision rough set model J. Comput. Syst. Sci. 46 1993 39 59