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Volumn 55, Issue 3, 2014, Pages 908-923

Evidence-theory-based numerical algorithms of attribute reduction with neighborhood-covering rough sets

Author keywords

Attribute reduction; Belief and plausibility functions; Covering rough sets; Evidence theory; Neighborhood; Rough sets

Indexed keywords


EID: 84894486592     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2013.10.003     Document Type: Article
Times cited : (78)

References (42)
  • 1
    • 0032092163 scopus 로고    scopus 로고
    • Extensions and intentions in the rough set theory
    • Z. Bonikowski, E. Bryniarski, and U. Wybraniec Extensions and intentions in the rough set theory Inf. Sci. 107 1998 149 167
    • (1998) Inf. Sci. , vol.107 , pp. 149-167
    • Bonikowski, Z.1    Bryniarski, E.2    Wybraniec, U.3
  • 2
  • 3
    • 0038215423 scopus 로고
    • A calculus of rough sets of the first order
    • E. Bryniarski A calculus of rough sets of the first order Bull. Pol. Acad. Sci. 16 1989 71 77
    • (1989) Bull. Pol. Acad. Sci. , vol.16 , pp. 71-77
    • Bryniarski, E.1
  • 4
    • 0003097477 scopus 로고    scopus 로고
    • Abstract approximate spaces for rough theories
    • L. Polkowski, A. Skowron, Physica-Verlag Heidelberg
    • G. Cattaneo Abstract approximate spaces for rough theories L. Polkowski, A. Skowron, Rough Sets in Knowledge Discovery 1: Methodology and Applications 1998 Physica-Verlag Heidelberg 59 98
    • (1998) Rough Sets in Knowledge Discovery 1: Methodology and Applications , pp. 59-98
    • Cattaneo, G.1
  • 5
    • 33646026682 scopus 로고    scopus 로고
    • Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
    • D.G. Chen, W.X. Zhang, S. Yeung, and C.C. Tsang Rough approximations on a complete completely distributive lattice with applications to generalized rough sets Inf. Sci. 176 2006 1829 1848
    • (2006) Inf. Sci. , vol.176 , pp. 1829-1848
    • Chen, D.G.1    Zhang, W.X.2    Yeung, S.3    Tsang, C.C.4
  • 6
    • 34250357173 scopus 로고    scopus 로고
    • A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets
    • D.G. Chen, C.Z. Wang, and Q.H. Hu A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets Inf. Sci. 177 2007 3500 3518
    • (2007) Inf. Sci. , vol.177 , pp. 3500-3518
    • Chen, D.G.1    Wang, C.Z.2    Hu, Q.H.3
  • 7
    • 84862679702 scopus 로고    scopus 로고
    • Rough sets coverings and incomplete information
    • I. Couso, and D. Dubois Rough sets coverings and incomplete information Fundam. Inform. 180 3-4 2011 1001 1024
    • (2011) Fundam. Inform. , vol.180 , Issue.34 , pp. 1001-1024
    • Couso, I.1    Dubois, D.2
  • 8
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multi valued mapping
    • A.P. Dempster Upper and lower probabilities induced by a multi valued mapping Ann. Math. Stat. 38 1967 325 339
    • (1967) Ann. Math. Stat. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 9
    • 0032294902 scopus 로고    scopus 로고
    • Rough set approach to incomplete information systems
    • M. Kryszkiewicz Rough set approach to incomplete information systems Inf. Sci. 112 1998 39 49
    • (1998) Inf. Sci. , vol.112 , pp. 39-49
    • Kryszkiewicz, M.1
  • 10
    • 62249102911 scopus 로고    scopus 로고
    • Approaches to knowledge reduction of covering decision systems based on information theory
    • F. Li, and Y.Q. Yin Approaches to knowledge reduction of covering decision systems based on information theory Inf. Sci. 179 2009 1694 1704
    • (2009) Inf. Sci. , vol.179 , pp. 1694-1704
    • Li, F.1    Yin, Y.Q.2
  • 11
    • 60849093738 scopus 로고    scopus 로고
    • A comparison of two types of rough sets induced by coverings
    • G.L. Liu, and Y. Sai A comparison of two types of rough sets induced by coverings Int. J. Approx. Reason. 50 3 2009 521 528
    • (2009) Int. J. Approx. Reason. , vol.50 , Issue.3 , pp. 521-528
    • Liu, G.L.1    Sai, Y.2
  • 12
    • 84861810655 scopus 로고    scopus 로고
    • On some types of neighborhood-related covering rough sets
    • L.W. Ma On some types of neighborhood-related covering rough sets Int. J. Approx. Reason. 53 2012 901 911
    • (2012) Int. J. Approx. Reason. , vol.53 , pp. 901-911
    • Ma, L.W.1
  • 13
    • 0035898976 scopus 로고    scopus 로고
    • Rough set theory applied to (fuzzy) ideal theory
    • J.N. Mordeson Rough set theory applied to (fuzzy) ideal theory Fuzzy Sets Syst. 121 2001 315 324
    • (2001) Fuzzy Sets Syst. , vol.121 , pp. 315-324
    • Mordeson, J.N.1
  • 14
    • 84958040404 scopus 로고    scopus 로고
    • Approximation reducts and association rules correspondence and complexity results
    • N. Zhong, A. Skowron, S. Oshuga, Yamaguchi, Japan
    • H.S. Nguyen, and D. Slezak Approximation reducts and association rules correspondence and complexity results N. Zhong, A. Skowron, S. Oshuga, Proceedings of RSFDGrC'99 Yamaguchi, Japan 1999 137 145
    • (1999) Proceedings of RSFDGrC'99 , pp. 137-145
    • Nguyen, H.S.1    Slezak, D.2
  • 16
    • 0000594169 scopus 로고
    • Approximation operations in approximation space
    • J.A. Pomykala Approximation operations in approximation space Bull. Pol. Acad. Sci. 9-10 1987 653 662
    • (1987) Bull. Pol. Acad. Sci. , vol.9-10 , pp. 653-662
    • Pomykala, J.A.1
  • 20
    • 77958509452 scopus 로고    scopus 로고
    • The further investigation of covering-based rough sets: Uncertainty characterization, similarity measure and generalized models
    • Z.H. Shi, and Z.T. Gong The further investigation of covering-based rough sets: Uncertainty characterization, similarity measure and generalized models Inf. Sci. 180 2010 3745 3763
    • (2010) Inf. Sci. , vol.180 , pp. 3745-3763
    • Shi, Z.H.1    Gong, Z.T.2
  • 21
    • 0002580328 scopus 로고
    • From rough set theory to evidence theory
    • R.R. Yager, M. Fedrizzi, J. Kacprzyk, Wiley New York
    • A. Skowron, and J. Grzymala-Busse From rough set theory to evidence theory R.R. Yager, M. Fedrizzi, J. Kacprzyk, Advance in the Dempster-Shafer Theory of Evidence 1994 Wiley New York 193 236
    • (1994) Advance in the Dempster-Shafer Theory of Evidence , pp. 193-236
    • Skowron, A.1    Grzymala-Busse, J.2
  • 22
    • 0002395767 scopus 로고
    • The discernibility matrices and functions in information systems
    • R. Slowinsk, Handbook of Applications and Advances of the Rough Sets Theory Kluwer Academic Publishers
    • A. Skowron, and C. Rauszer The discernibility matrices and functions in information systems R. Slowinsk, Intelligent Decision Support Handbook of Applications and Advances of the Rough Sets Theory 1992 Kluwer Academic Publishers
    • (1992) Intelligent Decision Support
    • Skowron, A.1    Rauszer, C.2
  • 23
    • 0032203429 scopus 로고    scopus 로고
    • Reconstruction of cooperative information systems under cost constraints: A rough set approach
    • Z. Suraj Reconstruction of cooperative information systems under cost constraints: A rough set approach Inf. Sci. 111 1998 273 291
    • (1998) Inf. Sci. , vol.111 , pp. 273-291
    • Suraj, Z.1
  • 24
    • 84861613982 scopus 로고    scopus 로고
    • Relationships among generalized rough sets in six covering and pure reflexive neighborhood system
    • L.J. Wang, X.B. Yang, J.Y. Yang, and C. Wu Relationships among generalized rough sets in six covering and pure reflexive neighborhood system Inf. Sci. 207 2012 66 78
    • (2012) Inf. Sci. , vol.207 , pp. 66-78
    • Wang, L.J.1    Yang, X.B.2    Yang, J.Y.3    Wu, C.4
  • 25
    • 0242385735 scopus 로고    scopus 로고
    • Connections between rough set theory and Dempster-Shafer theory of evidence
    • W.Z. Wu, Y. Leung, and W.X. Zhang Connections between rough set theory and Dempster-Shafer theory of evidence Int. J. Gen. Syst. 31 2002 405 430
    • (2002) Int. J. Gen. Syst. , vol.31 , pp. 405-430
    • Wu, W.Z.1    Leung, Y.2    Zhang, W.X.3
  • 26
    • 21244455292 scopus 로고    scopus 로고
    • Knowledge reduction in random information systems via Dempster-Shafer theory of evidence
    • W.Z. Wu, M. Zhang, H.Z. Li, and J.S. Mi Knowledge reduction in random information systems via Dempster-Shafer theory of evidence Inf. Sci. 174 2005 143 164
    • (2005) Inf. Sci. , vol.174 , pp. 143-164
    • Wu, W.Z.1    Zhang, M.2    Li, H.Z.3    Mi, J.S.4
  • 27
    • 76049091872 scopus 로고    scopus 로고
    • Reduction about approximation spaces of covering generalized rough sets
    • T. Yang, and Q.G. Li Reduction about approximation spaces of covering generalized rough sets Int. J. Approx. Reason. 51 2010 335 345
    • (2010) Int. J. Approx. Reason. , vol.51 , pp. 335-345
    • Yang, T.1    Li, Q.G.2
  • 28
    • 34447647244 scopus 로고    scopus 로고
    • Further investigation of characteristic relation in incomplete information system
    • X.B. Yang, J.Y. Yang, C. Wu, and D.J. Yu Further investigation of characteristic relation in incomplete information system Syst. Eng. Theor. Pract. 27 2007 155 160
    • (2007) Syst. Eng. Theor. Pract. , vol.27 , pp. 155-160
    • Yang, X.B.1    Yang, J.Y.2    Wu, C.3    Yu, D.J.4
  • 29
    • 0032204205 scopus 로고    scopus 로고
    • Relational interpretations of neighborhood operators and rough set approximation operators
    • Y.Y. Yao Relational interpretations of neighborhood operators and rough set approximation operators Inf. Sci. 111 1998 239 259
    • (1998) Inf. Sci. , vol.111 , pp. 239-259
    • Yao, Y.Y.1
  • 30
    • 84860268481 scopus 로고    scopus 로고
    • Covering based rough set approximations
    • Y.Y. Yao, and B.X. Yao Covering based rough set approximations Inf. Sci. 200 2012 91 107
    • (2012) Inf. Sci. , vol.200 , pp. 91-107
    • Yao, Y.Y.1    Yao, B.X.2
  • 31
    • 0031632311 scopus 로고    scopus 로고
    • Interpretations of belief functions in the theory of rough sets
    • Y.Y. Yao, and P.J. Lingras Interpretations of belief functions in the theory of rough sets Inf. Sci. 104 1998 81 106
    • (1998) Inf. Sci. , vol.104 , pp. 81-106
    • Yao, Y.Y.1    Lingras, P.J.2
  • 32
    • 8344253612 scopus 로고    scopus 로고
    • On generalizing rough set theory
    • G. Wang, Q. Liu, Y. Yao, A. Skowron, Lecture Notes in Computer Science Springer
    • Y.Y. Yao On generalizing rough set theory G. Wang, Q. Liu, Y. Yao, A. Skowron, Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing Lecture Notes in Computer Science vol. 2639 2003 Springer 44 51
    • (2003) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing , vol.2639 , pp. 44-51
    • Yao, Y.Y.1
  • 33
    • 79952315182 scopus 로고    scopus 로고
    • Axiomatization and conditions for neighborhoods in a covering to form a partition
    • Z.Q. Yun, X. Ge, and X.L. Bai Axiomatization and conditions for neighborhoods in a covering to form a partition Inf. Sci. 181 9 2011 1735 1740
    • (2011) Inf. Sci. , vol.181 , Issue.9 , pp. 1735-1740
    • Yun, Z.Q.1    Ge, X.2    Bai, X.L.3
  • 34
    • 0005755397 scopus 로고
    • Approximations in the space (U, â̂FOR VERIFICATION)
    • W. Zakowski Approximations in the space (U, â̂FOR VERIFICATION) Demonstr. Math. 16 1983 761 769
    • (1983) Demonstr. Math. , vol.16 , pp. 761-769
    • Zakowski, W.1
  • 35
    • 0036520274 scopus 로고    scopus 로고
    • Some results on the covering generalized rough sets
    • W. Zhu, and F.Y. Wang Some results on the covering generalized rough sets Pattern Recognit. Artif. Intell. 5 2002 6 13
    • (2002) Pattern Recognit. Artif. Intell. , vol.5 , pp. 6-13
    • Zhu, W.1    Wang, F.Y.2
  • 36
    • 67349152755 scopus 로고    scopus 로고
    • Relationship among basic concepts in covering-based rough sets
    • W. Zhu Relationship among basic concepts in covering-based rough sets Inf. Sci. 179 14 2009 2478 2486
    • (2009) Inf. Sci. , vol.179 , Issue.14 , pp. 2478-2486
    • Zhu, W.1
  • 37
    • 55949128171 scopus 로고    scopus 로고
    • Relationship between generalized rough sets based on binary relation and covering
    • W. Zhu Relationship between generalized rough sets based on binary relation and covering Inf. Sci. 179 2009 210 225
    • (2009) Inf. Sci. , vol.179 , pp. 210-225
    • Zhu, W.1
  • 38
    • 34347243171 scopus 로고    scopus 로고
    • On three types of covering-based rough sets
    • W. Zhu, and F.Y. Wang On three types of covering-based rough sets IEEE Trans. Knowl. Data Eng. 19 2007 1131 1144
    • (2007) IEEE Trans. Knowl. Data Eng. , vol.19 , pp. 1131-1144
    • Zhu, W.1    Wang, F.Y.2
  • 39
    • 79955469319 scopus 로고    scopus 로고
    • On minimization of axiom sets characterizing covering-based approximation operators
    • Y.L. Zhang, and M.K. Luo On minimization of axiom sets characterizing covering-based approximation operators Inf. Sci. 181 14 2011 3032 3042
    • (2011) Inf. Sci. , vol.181 , Issue.14 , pp. 3032-3042
    • Zhang, Y.L.1    Luo, M.K.2
  • 40
    • 70350578667 scopus 로고    scopus 로고
    • On axiomatic characterizations of three pairs of covering based approximation operators
    • Y.L. Zhang, J.J. Li, and W.Z. Wu On axiomatic characterizations of three pairs of covering based approximation operators Inf. Sci. 180 2 2010 274 287
    • (2010) Inf. Sci. , vol.180 , Issue.2 , pp. 274-287
    • Zhang, Y.L.1    Li, J.J.2    Wu, W.Z.3
  • 41
    • 79551686829 scopus 로고    scopus 로고
    • Covering rough sets based on neighborhoods: An approach without using neighborhoods
    • P. Zhu Covering rough sets based on neighborhoods: An approach without using neighborhoods Int. J. Approx. Reason. 52 2011 461 472
    • (2011) Int. J. Approx. Reason. , vol.52 , pp. 461-472
    • Zhu, P.1
  • 42
    • 84858794559 scopus 로고    scopus 로고
    • Entropy and co-entropy of a covering approximation space
    • P. Zhu, and Q.Y. Wen Entropy and co-entropy of a covering approximation space Int. J. Approx. Reason. 53 2012 528 540
    • (2012) Int. J. Approx. Reason. , vol.53 , pp. 528-540
    • Zhu, P.1    Wen, Q.Y.2


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