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Volumn 54, Issue 9, 2013, Pages 1361-1372

Four matroidal structures of covering and their relationships with rough sets

Author keywords

Covering; Graph; Matching; Matroid; Rank function; Rough set

Indexed keywords

COVERING; GRAPH; MATCHING; MATROID; RANK FUNCTIONS;

EID: 84885613145     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2013.07.001     Document Type: Article
Times cited : (15)

References (42)
  • 1
    • 84864452907 scopus 로고    scopus 로고
    • Generalization of Pawlak's rough approximation spaces by using δβ-open sets
    • H. Abu-Donia, and A. Salama Generalization of Pawlak's rough approximation spaces by using δβ-open sets International Journal of Approximate Reasoning 53 2012 1094 1105
    • (2012) International Journal of Approximate Reasoning , vol.53 , pp. 1094-1105
    • Abu-Donia, H.1    Salama, A.2
  • 2
    • 33847719558 scopus 로고    scopus 로고
    • Entropies and co-entropies of coverings with application to incomplete information systems
    • D. Bianucci, G. Cattaneo, and D. Ciucci Entropies and co-entropies of coverings with application to incomplete information systems Fundamenta Informaticae 75 2007 77 105
    • (2007) Fundamenta Informaticae , vol.75 , pp. 77-105
    • Bianucci, D.1    Cattaneo, G.2    Ciucci, D.3
  • 3
    • 34250357173 scopus 로고    scopus 로고
    • A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets
    • D. Chen, C. Wang, and Q. 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.1    Wang, C.2    Hu, Q.3
  • 4
    • 29844457781 scopus 로고    scopus 로고
    • Mining top-k covering rule groups for gene expression data
    • G. Cong, K. Tan, A. Tung, and X. Xu Mining top-k covering rule groups for gene expression data Proc. ACM SIGMOD 2005 670 681
    • (2005) Proc. ACM SIGMOD , pp. 670-681
    • Cong, G.1    Tan, K.2    Tung, A.3    Xu, X.4
  • 5
    • 80052791750 scopus 로고    scopus 로고
    • Approximation of sets based on partial covering
    • Z. Csajbk Approximation of sets based on partial covering Theoretical Computer Science 412 2011 5820 5833
    • (2011) Theoretical Computer Science , vol.412 , pp. 5820-5833
    • Csajbk, Z.1
  • 7
    • 80052819788 scopus 로고    scopus 로고
    • Fuzzy rough granular neural networks, fuzzy granules, and classification
    • A. Ganivada, S. Dutta, and S.K. Pal Fuzzy rough granular neural networks, fuzzy granules, and classification Theoretical Computer Science 412 2011 5834 5853
    • (2011) Theoretical Computer Science , vol.412 , pp. 5834-5853
    • Ganivada, A.1    Dutta, S.2    Pal, S.K.3
  • 8
    • 46749140199 scopus 로고    scopus 로고
    • Neighborhood rough set based heterogeneous feature subset selection
    • Q. Hu, D. Yu, J. Liu, and C. Wu Neighborhood rough set based heterogeneous feature subset selection Information Sciences 178 2008 3577 3594
    • (2008) Information Sciences , vol.178 , pp. 3577-3594
    • Hu, Q.1    Yu, D.2    Liu, J.3    Wu, C.4
  • 10
    • 10944249572 scopus 로고    scopus 로고
    • Semantics-preserving dimensionality reduction: Rough and fuzzy-rough-based approaches
    • R. Jensen, and Q. Shen Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches IEEE Transactions on Knowledge and Data Engineering 16 2004 1457 1471
    • (2004) IEEE Transactions on Knowledge and Data Engineering , vol.16 , pp. 1457-1471
    • Jensen, R.1    Shen, Q.2
  • 11
    • 79952440631 scopus 로고    scopus 로고
    • A boolean function approach to feature selection in consistent decision information systems
    • S. Kahramanli, M. Hacibeyoglu, and A. Arslan A boolean function approach to feature selection in consistent decision information systems Expert Systems with Applications 38 2011 8229 8239
    • (2011) Expert Systems with Applications , vol.38 , pp. 8229-8239
    • Kahramanli, S.1    Hacibeyoglu, M.2    Arslan, A.3
  • 12
    • 60549115719 scopus 로고    scopus 로고
    • Higher Education Press Beijing
    • H. Lai Matroid Theory 2001 Higher Education Press Beijing
    • (2001) Matroid Theory
    • Lai, H.1
  • 13
    • 62249102911 scopus 로고    scopus 로고
    • Approaches to knowledge reduction of covering decision systems based on information theory
    • F. Li, and Y. 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.2
  • 15
    • 84858798990 scopus 로고    scopus 로고
    • Matroidal approaches to rough set theory via closure operators
    • X. Li, and S. Liu Matroidal approaches to rough set theory via closure operators International Journal of Approximate Reasoning 53 2012 513 527
    • (2012) International Journal of Approximate Reasoning , vol.53 , pp. 513-527
    • Li, X.1    Liu, S.2
  • 16
    • 80054073559 scopus 로고    scopus 로고
    • PhD thesis Shaanxi Normal University (in Chinese)
    • Y. Li Some researches on fuzzy matroids PhD thesis 2007 Shaanxi Normal University (in Chinese)
    • (2007) Some Researches on Fuzzy Matroids
    • Li, Y.1
  • 17
    • 60849093738 scopus 로고    scopus 로고
    • A comparison of two types of rough sets induced by coverings
    • G. Liu, and Y. Sai A comparison of two types of rough sets induced by coverings International Journal of Approximate Reasoning 50 2009 521 528
    • (2009) International Journal of Approximate Reasoning , vol.50 , pp. 521-528
    • Liu, G.1    Sai, Y.2
  • 18
    • 84865144645 scopus 로고    scopus 로고
    • Relationship between partition matroid and rough set through k-rank matroid
    • Y. Liu, W. Zhu, and Y. Zhang Relationship between partition matroid and rough set through k-rank matroid Journal of Information and Computational Science 9 2012 2151 2163
    • (2012) Journal of Information and Computational Science , vol.9 , pp. 2151-2163
    • Liu, Y.1    Zhu, W.2    Zhang, Y.3
  • 19
    • 84861810655 scopus 로고    scopus 로고
    • On some types of neighborhood-related covering rough sets
    • L. Ma On some types of neighborhood-related covering rough sets International Journal of Approximate Reasoning 53 2012 901 911
    • (2012) International Journal of Approximate Reasoning , vol.53 , pp. 901-911
    • Ma, L.1
  • 20
    • 65849531452 scopus 로고    scopus 로고
    • A fast approach to attribute reduction in incomplete decision systems with tolerance relation-based rough sets
    • Z. Meng, and Z. Shi A fast approach to attribute reduction in incomplete decision systems with tolerance relation-based rough sets Information Sciences 179 2009 2774 2793
    • (2009) Information Sciences , vol.179 , pp. 2774-2793
    • Meng, Z.1    Shi, Z.2
  • 21
    • 79960290370 scopus 로고    scopus 로고
    • Test-cost-sensitive attribute reduction
    • F. Min, H. He, Y. Qian, and W. Zhu Test-cost-sensitive attribute reduction Information Sciences 181 2011 4928 4942
    • (2011) Information Sciences , vol.181 , pp. 4928-4942
    • Min, F.1    He, H.2    Qian, Y.3    Zhu, W.4
  • 23
    • 0004061262 scopus 로고
    • Oxford University Press New York
    • J.G. Oxley Matroid Theory 1993 Oxford University Press New York
    • (1993) Matroid Theory
    • Oxley, J.G.1
  • 25
    • 14544278872 scopus 로고    scopus 로고
    • On the topological properties of fuzzy rough sets
    • K. Qin, and Z. Pei On the topological properties of fuzzy rough sets Fuzzy Sets and Systems 151 2005 601 613
    • (2005) Fuzzy Sets and Systems , vol.151 , pp. 601-613
    • Qin, K.1    Pei, Z.2
  • 27
    • 42649112727 scopus 로고    scopus 로고
    • Fuzzy rough set theory for the interval-valued fuzzy information systems
    • B. Sun, Z. Gong, and D. Chen Fuzzy rough set theory for the interval-valued fuzzy information systems Information Sciences 178 2008 2794 2815
    • (2008) Information Sciences , vol.178 , pp. 2794-2815
    • Sun, B.1    Gong, Z.2    Chen, D.3
  • 28
    • 84871830780 scopus 로고    scopus 로고
    • Matroidal structure of rough sets from the viewpoint of graph theory
    • J. Tang, K. She, and W. Zhu Matroidal structure of rough sets from the viewpoint of graph theory Journal of Applied Mathematics 2012 2012 1 27
    • (2012) Journal of Applied Mathematics , vol.2012 , pp. 1-27
    • Tang, J.1    She, K.2    Zhu, W.3
  • 31
    • 84867863748 scopus 로고    scopus 로고
    • Matroidal structure of rough sets and its characterization to attribute reduction
    • S. Wang, Q. Zhu, W. Zhu, and F. Min Matroidal structure of rough sets and its characterization to attribute reduction Knowledge-Based Systems 36 2012 155 161
    • (2012) Knowledge-Based Systems , vol.36 , pp. 155-161
    • Wang, S.1    Zhu, Q.2    Zhu, W.3    Min, F.4
  • 32
    • 84868508836 scopus 로고    scopus 로고
    • Quantitative analysis for covering-based rough sets through the upper approximation number
    • S. Wang, Q. Zhu, W. Zhu, and F. Min Quantitative analysis for covering-based rough sets through the upper approximation number Information Sciences 220 2013 483 491
    • (2013) Information Sciences , vol.220 , pp. 483-491
    • Wang, S.1    Zhu, Q.2    Zhu, W.3    Min, F.4
  • 34
    • 80054066761 scopus 로고    scopus 로고
    • Transversal and function matroidal structures of covering-based rough sets
    • S. Wang, W. Zhu, and F. Min Transversal and function matroidal structures of covering-based rough sets Rough Sets and Knowledge Technology 2011 146 155
    • (2011) Rough Sets and Knowledge Technology , pp. 146-155
    • Wang, S.1    Zhu, W.2    Min, F.3
  • 37
    • 84860268481 scopus 로고    scopus 로고
    • Covering based rough set approximations
    • Y. Yao, and B. Yao Covering based rough set approximations Information Sciences 200 2012 91 107
    • (2012) Information Sciences , vol.200 , pp. 91-107
    • Yao, Y.1    Yao, B.2
  • 38
    • 0005755397 scopus 로고
    • Approximations in the space (u, π)
    • W. Zakowski Approximations in the space (u, π) Demonstratio Mathematica 16 1983 761 769
    • (1983) Demonstratio Mathematica , vol.16 , pp. 761-769
    • Zakowski, W.1
  • 39
    • 70350578667 scopus 로고    scopus 로고
    • On axiomatic characterizations of three pairs of covering based approximation operators
    • Y. Zhang, J. Li, and W. Wu On axiomatic characterizations of three pairs of covering based approximation operators Information Sciences 180 2010 274 287
    • (2010) Information Sciences , vol.180 , pp. 274-287
    • Zhang, Y.1    Li, J.2    Wu, W.3
  • 40
    • 33845963394 scopus 로고    scopus 로고
    • Topological approaches to covering rough sets
    • W. Zhu Topological approaches to covering rough sets Information Sciences 177 2007 1499 1508
    • (2007) Information Sciences , vol.177 , pp. 1499-1508
    • Zhu, W.1
  • 41
    • 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 Information Sciences 179 2009 2478 2486
    • (2009) Information Sciences , vol.179 , pp. 2478-2486
    • Zhu, W.1
  • 42
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • W. Zhu, and F. Wang Reduction and axiomization of covering generalized rough sets Information Sciences 152 2003 217 230
    • (2003) Information Sciences , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.