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Volumn 53, Issue 1, 2012, Pages 87-103

The reduction and fusion of fuzzy covering systems based on the evidence theory

Author keywords

Approximation operator; Evidence theory; Fuzzy covering; Information fusion; Reduction

Indexed keywords

APPROXIMATION OPERATORS; BELIEF AND PLAUSIBILITY; BELIEF STRUCTURES; DECISION SYSTEMS; EVIDENCE THEORIES; FUZZY COVERING; INFORMATION SOURCES; MAXIMUM FLOWS; PROBABILITY MODELS;

EID: 81155150333     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2011.10.002     Document Type: Article
Times cited : (134)

References (58)
  • 1
    • 77952003645 scopus 로고    scopus 로고
    • Information entropy and granular co-entropy of partitions and coverings: A summary, transactions on rough sets
    • D. Binaucci, and G. Cattaneo Information entropy and granular co-entropy of partitions and coverings: a summary, transactions on rough sets Lecture Notes in Computer Science 5656 2009 15 66
    • (2009) Lecture Notes in Computer Science , vol.5656 , pp. 15-66
    • Binaucci, D.1    Cattaneo, G.2
  • 2
    • 0039623338 scopus 로고
    • Algebraic structrues of rough sets
    • W.P. Ziarko, Springer-Verlag Berlin
    • Z. Bonikowksi Algebraic structrues of rough sets W.P. Ziarko, Rough Sets, Fuzzy Sets and Knowledge Discovery 1995 Springer-Verlag Berlin 242 247
    • (1995) Rough Sets, Fuzzy Sets and Knowledge Discovery , pp. 242-247
    • Bonikowksi, Z.1
  • 3
    • 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 Information Sciences 177 2007 3500 3518
    • (2007) Information Sciences , vol.177 , pp. 3500-3518
    • Chen, D.G.1    Wang, C.Z.2    Hu, Q.H.3
  • 4
    • 45649085668 scopus 로고    scopus 로고
    • Measures of general fuzzy rough sets on a probabilistic space
    • D.G. Chen, W.X. Yang, and F.C. Li Measures of general fuzzy rough sets on a probabilistic space Information Sciences 178 2008 3177 3187
    • (2008) Information Sciences , vol.178 , pp. 3177-3187
    • Chen, D.G.1    Yang, W.X.2    Li, F.C.3
  • 5
    • 11144304613 scopus 로고    scopus 로고
    • Fuzzy rough sets: Beyond the obvious
    • 2004 IEEE International Conference on Fuzzy Systems - Proceedings
    • M. De Cock, C. Cornelis, E.E. Kerre, Fuzzy rough sets: beyond the obvious, in: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, vol. 1, 2004, pp. 103-108. (Pubitemid 40028087)
    • (2004) IEEE International Conference on Fuzzy Systems , vol.1 , pp. 103-108
    • De Cock, M.1    Cornelis, C.2    Kerre, E.3
  • 6
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • A.P. Dempster Upper and lower probabilities induced by a multivalued mapping Annals of Mathematical Statistics 38 1967 325 339
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 7
    • 33947261538 scopus 로고    scopus 로고
    • A novel approach to fuzzy rough sets based on a fuzzy covering
    • T.Q. Deng, Y.M. Chen, W.L. Xu, and Q.H. Dai A novel approach to fuzzy rough sets based on a fuzzy covering Information Sciences 177 2007 2308 2326
    • (2007) Information Sciences , vol.177 , pp. 2308-2326
    • Deng, T.Q.1    Chen, Y.M.2    Xu, W.L.3    Dai, Q.H.4
  • 11
    • 0024090156 scopus 로고
    • A new approach to the maximum-flow problem
    • ACM Press
    • A.V. Goldberg, and R.E. Tarjan A new approach to the maximum-flow problem Journal of the ACM 35 4 1988 921 940 ACM Press
    • (1988) Journal of the ACM , vol.35 , Issue.4 , pp. 921-940
    • Goldberg, A.V.1    Tarjan, R.E.2
  • 12
    • 0032294902 scopus 로고    scopus 로고
    • Rough set approach to incomplete information systems
    • PII S0020025598100191
    • M. Kryszkiewicz Rough set approach to incomplete information systems Information Sciences 112 1998 39 49 (Pubitemid 128649627)
    • (1998) Information Sciences , vol.112 , Issue.1-4 , pp. 39-49
    • Kryszkiewicz, M.1
  • 14
    • 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 Information Sciences 179 2009 1694 1704
    • (2009) Information Sciences , vol.179 , pp. 1694-1704
    • Li, F.1    Yin, Y.Q.2
  • 16
    • 49849093407 scopus 로고    scopus 로고
    • The algebraic structures of generalized rough set theory
    • G.L. Liu, and W. Zhu The algebraic structures of generalized rough set theory Information Sciences 178 2008 4105 4113
    • (2008) Information Sciences , vol.178 , pp. 4105-4113
    • Liu, G.L.1    Zhu, W.2
  • 18
    • 0001164225 scopus 로고    scopus 로고
    • Axiomatics for fuzzy rough sets
    • PII S0165011497001048
    • N.N. Moris, and M.M. Yakout Axiomatics for fuzzy rough sets Fuzzy Sets and Systems 100 1998 327 342 (Pubitemid 128654413)
    • (1998) Fuzzy Sets and Systems , vol.100 , Issue.1-3 , pp. 327-342
    • Morsi, N.N.1    Yakout, M.M.2
  • 19
    • 0002265912 scopus 로고
    • Reasoning with incomplete information: Rough set based information systems
    • Springer-Verlag
    • E. Orlowska Reasoning with incomplete information: rough set based information systems Incompleteness and Uncertainty in Information Systems 1994 Springer-Verlag 16 33
    • (1994) Incompleteness and Uncertainty in Information Systems , pp. 16-33
    • Orlowska, E.1
  • 22
    • 85015196509 scopus 로고
    • Rough sets and fuzzy sets
    • Z. Pawlak Rough sets and fuzzy sets Fuzzy Sets and Systems 17 1985 99 102
    • (1985) Fuzzy Sets and Systems , vol.17 , pp. 99-102
    • Pawlak, Z.1
  • 23
    • 0029409691 scopus 로고
    • Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory
    • C. Römer, and A. Kandel Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory IEEE Transactions on Fuzzy Systems 3 1995 448 453
    • (1995) IEEE Transactions on Fuzzy Systems , vol.3 , pp. 448-453
    • Römer, C.1    Kandel, A.2
  • 24
    • 76649122207 scopus 로고    scopus 로고
    • Covering based approaches to rough sets and implication lattices
    • P. Samanta, M.K. Chakraborty, Covering based approaches to rough sets and implication lattices, RSFDGrC 2009, 2009, pp. 127-134.
    • (2009) RSFDGrC 2009 , pp. 127-134
    • Samanta, P.1    Chakraborty, M.K.2
  • 27
    • 0030217715 scopus 로고    scopus 로고
    • Tolerance approximation spaces
    • A. Skowron, and J. Stepaniuk Tolerance approximation spaces Fundamenta Informaticae 27 1996 245 253 (Pubitemid 126715034)
    • (1996) Fundamenta Informaticae , vol.27 , Issue.2-3 , pp. 245-253
    • Skowron, A.1    Stepaniuk, J.2
  • 28
    • 8344266839 scopus 로고    scopus 로고
    • Rough Sets: Trends and Challenges
    • Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing
    • A. Skowron, J.F. Peters, Rough sets: trends and challenges, in: RSFDGrC 2003, LNAI, 2003, pp. 25-34. (Pubitemid 36657932)
    • (2003) Lecture Notes in Computer Science , Issue.2639 , pp. 25-34
    • Skowron, A.1    Peters, J.F.2
  • 29
    • 0012617764 scopus 로고    scopus 로고
    • Medical information systems-problems with analysis and way of solution
    • S.K. Pal, A. Skowron, Springer-Verlag Singapore
    • R. Slowinski, and J. Stefanowski Medical information systems-problems with analysis and way of solution S.K. Pal, A. Skowron, Rough Fuzzy Hybridization: A New Trend in Decision-making 1999 Springer-Verlag Singapore 301 315
    • (1999) Rough Fuzzy Hybridization: A New Trend in Decision-making , pp. 301-315
    • Slowinski, R.1    Stefanowski, J.2
  • 31
    • 77949291930 scopus 로고    scopus 로고
    • Heuristic method for attribute selection from partially uncertain date using rough sets
    • S. Trabelsi, and S. Elouedi Heuristic method for attribute selection from partially uncertain date using rough sets International Journal of General System 39 2010 271 290
    • (2010) International Journal of General System , vol.39 , pp. 271-290
    • Trabelsi, S.1    Elouedi, S.2
  • 33
    • 39749128952 scopus 로고    scopus 로고
    • A systematic study on attribute reduction with rough sets based on general binary relations
    • C.Z. Wang, C.X. Wu, and D.G. Chen A systematic study on attribute reduction with rough sets based on general binary relations Information Sciences 178 2008 2237 2261
    • (2008) Information Sciences , vol.178 , pp. 2237-2261
    • Wang, C.Z.1    Wu, C.X.2    Chen, D.G.3
  • 36
    • 37249058009 scopus 로고    scopus 로고
    • Attribute reduction based on evidence theory in incomplete decision systems
    • W.Z. Wu Attribute reduction based on evidence theory in incomplete decision systems Information Sciences 178 2008 1355 1371
    • (2008) Information Sciences , vol.178 , pp. 1355-1371
    • Wu, W.Z.1
  • 37
    • 65549108457 scopus 로고    scopus 로고
    • On generalized fuzzy belief functions in infinite spaces
    • W.Z. Wu, Y. Leung, and J.S. Mi On generalized fuzzy belief functions in infinite spaces IEEE Transactions on Fuzzy Systems 17 2009 385 397
    • (2009) IEEE Transactions on Fuzzy Systems , vol.17 , pp. 385-397
    • Wu, W.Z.1    Leung, Y.2    Mi, J.S.3
  • 38
    • 77957580823 scopus 로고    scopus 로고
    • Attribute reduction in ordered information systems based on evidence theory
    • W.H. Xu, X.Y. Zhang, J.M. Zhong, and W.X. Zhang Attribute reduction in ordered information systems based on evidence theory Knowledge Information System 25 2010 169 184
    • (2010) Knowledge Information System , vol.25 , pp. 169-184
    • Xu, W.H.1    Zhang, X.Y.2    Zhong, J.M.3    Zhang, W.X.4
  • 39
    • 0036530141 scopus 로고    scopus 로고
    • Inclusion degree: A perspective on measures for rough set data analysis
    • DOI 10.1016/S0020-0255(02)00174-3, PII S0020025502001743
    • Z.B. Xu, J.Y. Liang, C.Y. Dang, and K.S. Chin Inclusion degree: a perspective on measures for rough set data analysis Information Sciences 141 2002 227 236 (Pubitemid 34524129)
    • (2002) Information Sciences , vol.141 , Issue.3-4 , pp. 227-236
    • Xu, Z.B.1    Liang, J.Y.2    Dang, C.Y.3    Chin, K.S.4
  • 41
    • 66549103171 scopus 로고    scopus 로고
    • A combination rule of evidence theory based on similarity of focal elements
    • S.L. Yang, H. Luo, and X.J. Hu A combination rule of evidence theory based on similarity of focal elements Pattern Recognition and Artificial Intelligence 22 2009 169 175
    • (2009) Pattern Recognition and Artificial Intelligence , vol.22 , pp. 169-175
    • Yang, S.L.1    Luo, H.2    Hu, X.J.3
  • 42
    • 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 International Journal of Approximation Reasoning 51 2010 335 345
    • (2010) International Journal of Approximation Reasoning , vol.51 , pp. 335-345
    • Yang, T.1    Li, Q.G.2
  • 43
    • 79951942978 scopus 로고    scopus 로고
    • Attribute reduction based o n generalized fuzzy evidence thoery in fuzzy decision system
    • Y.Q. Yao, J.S. Mi, and Z.J. Li Attribute reduction based o n generalized fuzzy evidence thoery in fuzzy decision system Fuzzy Sets and Systems 170 2011 64 75
    • (2011) Fuzzy Sets and Systems , vol.170 , pp. 64-75
    • Yao, Y.Q.1    Mi, J.S.2    Li, Z.J.3
  • 44
    • 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 Information Sciences 104 1998 81 106
    • (1998) Information Sciences , vol.104 , pp. 81-106
    • Yao, Y.Y.1    Lingras, P.J.2
  • 45
    • 0032204205 scopus 로고    scopus 로고
    • Relational interpretations of neighborhood operators and rough set approximation operators
    • PII S0020025598100063
    • Y.Y. Yao Relational interpretations of neighborhood operators and rough set approximation operators Information Sciences 111 1998 239 259 (Pubitemid 128383897)
    • (1998) Information Sciences , vol.111 , Issue.1-4 , pp. 239-259
    • Yao, Y.Y.1
  • 46
    • 0032142371 scopus 로고    scopus 로고
    • Constructive and algebraic methods of the theory of rough sets
    • Y.Y. Yao Constructive and algebraic methods of the theory of rough sets Information Sciences 109 1998 21 47
    • (1998) Information Sciences , vol.109 , pp. 21-47
    • Yao, Y.Y.1
  • 49
    • 0002263693 scopus 로고
    • Fuzzy sets and information granularity
    • M. Gupta, R. Ragade, R.R. Yager, North-Holland Publishing Co. Amsterdam
    • L.A. Zadeh Fuzzy sets and information granularity M. Gupta, R. Ragade, R.R. Yager, Advances in Fuzzy Set Theory and Applications 1979 North-Holland Publishing Co. Amsterdam 3 18
    • (1979) Advances in Fuzzy Set Theory and Applications , pp. 3-18
    • Zadeh, L.A.1
  • 50
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • L.A. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets and Systems 1 1978 3 28
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 3-28
    • Zadeh, L.A.1
  • 51
    • 0005755397 scopus 로고
    • Approximation in the space (U, Π)
    • W. Zakowski Approximation in the space (U, Π) Demonstratio Mathematica 16 1983 761 769
    • (1983) Demonstratio Mathematica , vol.16 , pp. 761-769
    • Zakowski, W.1
  • 52
    • 0242352585 scopus 로고    scopus 로고
    • A rough set approach to knowledge reduction based on inclusion degree and evidence reasoning theory
    • M. Zhang, L.D. Xu, W.X. Zhang, and H.Z. Li A rough set approach to knowledge reduction based on inclusion degree and evidence reasoning theory Expert Systems 20 2003 298 304
    • (2003) Expert Systems , vol.20 , pp. 298-304
    • Zhang, M.1    Xu, L.D.2    Zhang, W.X.3    Li, H.Z.4
  • 54
    • 34347266231 scopus 로고    scopus 로고
    • Rough sets in knowledge discovery and data mining
    • N. Zhong Rough sets in knowledge discovery and data mining Fuzzy Theory Systems 13 2001 581 591
    • (2001) Fuzzy Theory Systems , vol.13 , pp. 581-591
    • Zhong, N.1
  • 55
    • 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 Journal International Journal of Approximate Reasoning 52 2011 461 472
    • (2011) Journal International Journal of Approximate Reasoning , vol.52 , pp. 461-472
    • Zhu, P.1
  • 56
    • 34548228836 scopus 로고    scopus 로고
    • Generalized rough sets based on relations
    • DOI 10.1016/j.ins.2007.05.037, PII S0020025507002733
    • W. Zhu Generalized rough sets based on relations Information Sciences 177 2007 4997 5011 (Pubitemid 47331457)
    • (2007) Information Sciences , vol.177 , Issue.22 , pp. 4997-5011
    • Zhu, W.1
  • 57
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generelized rough sets
    • W. Zhu, and F.Y. Wang Reduction and axiomization of covering generelized rough sets Information Sciences 152 2003 217 230
    • (2003) Information Sciences , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.Y.2
  • 58
    • 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 Information Sciences 179 2009 210 225
    • (2009) Information Sciences , vol.179 , pp. 210-225
    • Zhu, W.1


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