메뉴 건너뛰기




Volumn 263, Issue , 2014, Pages 186-197

Characteristic matrix of covering and its application to Boolean matrix decomposition

Author keywords

Approximation operator; Boolean matrix decomposition; Characteristic matrix; Covering; Rough set

Indexed keywords


EID: 84894901228     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.10.018     Document Type: Article
Times cited : (42)

References (44)
  • 1
    • 69349086148 scopus 로고    scopus 로고
    • A bound on the scrambling index of a primitive matrix using boolean rank
    • M. Akelbek, S. Fital, and J. Shen A bound on the scrambling index of a primitive matrix using boolean rank Linear Algebra and its Applications 431 2009 1923 1931
    • (2009) Linear Algebra and Its Applications , vol.431 , pp. 1923-1931
    • Akelbek, M.1    Fital, S.2    Shen, J.3
  • 2
    • 71749101259 scopus 로고    scopus 로고
    • Discovery of optimal factors in binary data via a novel method of matrix decomposition
    • R. Belohlavek, and V. Vychodil Discovery of optimal factors in binary data via a novel method of matrix decomposition Journal of Computer and System Sciences 76 2010 3 20
    • (2010) Journal of Computer and System Sciences , vol.76 , pp. 3-20
    • Belohlavek, R.1    Vychodil, V.2
  • 3
    • 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
  • 4
    • 84862679702 scopus 로고    scopus 로고
    • Rough sets, coverings and incomplete information
    • I. Couso, and D. Dubois Rough sets, coverings and incomplete information Fundamenta Informaticae XXI 2001 1001 1025
    • (2001) Fundamenta Informaticae , vol.21 , pp. 1001-1025
    • Couso, I.1    Dubois, D.2
  • 5
    • 84859593302 scopus 로고    scopus 로고
    • Approximations and uncertainty measures in incomplete information systems
    • J. Dai, and Q. Xu Approximations and uncertainty measures in incomplete information systems Information Sciences 198 2012 62 80
    • (2012) Information Sciences , vol.198 , pp. 62-80
    • Dai, J.1    Xu, Q.2
  • 6
    • 33947261538 scopus 로고    scopus 로고
    • A novel approach to fuzzy rough sets based on a fuzzy covering
    • T. Deng, Y. Chen, W. Xu, and Q. 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.1    Chen, Y.2    Xu, W.3    Dai, Q.4
  • 7
    • 80054063216 scopus 로고    scopus 로고
    • Rule learning for classification based on neighborhood covering reduction
    • Y. Du, Q. Hu, P. Zhu, and P. Ma Rule learning for classification based on neighborhood covering reduction Information Sciences 181 2011 5457 5467
    • (2011) Information Sciences , vol.181 , pp. 5457-5467
    • Du, Y.1    Hu, Q.2    Zhu, P.3    Ma, P.4
  • 9
    • 81155150333 scopus 로고    scopus 로고
    • The reduction and fusion of fuzzy covering systems based on the evidence theory
    • T. Feng, S. Zhang, and J. Mi The reduction and fusion of fuzzy covering systems based on the evidence theory International Journal of Approximate Reasoning 53 2012 87 103
    • (2012) International Journal of Approximate Reasoning , vol.53 , pp. 87-103
    • Feng, T.1    Zhang, S.2    Mi, J.3
  • 11
    • 84861193422 scopus 로고    scopus 로고
    • Topological characterizations of covering for special covering-based upper approximation operators
    • X. Ge, X. Bai, and Z. Yun Topological characterizations of covering for special covering-based upper approximation operators Information Sciences 204 2012 70 81
    • (2012) Information Sciences , vol.204 , pp. 70-81
    • Ge, X.1    Bai, X.2    Yun, Z.3
  • 14
    • 41949104397 scopus 로고    scopus 로고
    • Numerical attribute reduction based on neighborhood granulation and rough approximation
    • Q. Hu, D. Yu, and Z. Xie Numerical attribute reduction based on neighborhood granulation and rough approximation Journal of Software (in Chinese) 19 2008 640 649
    • (2008) Journal of Software (In Chinese) , vol.19 , pp. 640-649
    • Hu, Q.1    Yu, D.2    Xie, Z.3
  • 15
    • 79955613590 scopus 로고    scopus 로고
    • Measuring relevance between discrete and continuous features based on neighborhood mutual information
    • Q. Hu, L. Zhang, D. Zhang, W. Pan, S. An, and W. Pedrycz Measuring relevance between discrete and continuous features based on neighborhood mutual information Expert Systems with Applications 38 2011 10737 10750
    • (2011) Expert Systems with Applications , vol.38 , pp. 10737-10750
    • Hu, Q.1    Zhang, L.2    Zhang, D.3    Pan, W.4    An, S.5    Pedrycz, W.6
  • 17
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by non-negative matrix factorization
    • D.D. Lee, and H.S. Seung Learning the parts of objects by non-negative matrix factorization Nature 401 1999 788 791
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.D.1    Seung, H.S.2
  • 18
    • 45049086776 scopus 로고    scopus 로고
    • Generalized fuzzy rough approximation operators based on fuzzy coverings
    • T. Li, Y. Leung, and W. Zhang Generalized fuzzy rough approximation operators based on fuzzy coverings International Journal of Approximate Reasoning 48 2008 836 856
    • (2008) International Journal of Approximate Reasoning , vol.48 , pp. 836-856
    • Li, T.1    Leung, Y.2    Zhang, W.3
  • 20
    • 79959251722 scopus 로고    scopus 로고
    • A fast output-sensitive algorithm for boolean matrix multiplication
    • A. Lingas A fast output-sensitive algorithm for boolean matrix multiplication Algorithmica 61 2011 36 50
    • (2011) Algorithmica , vol.61 , pp. 36-50
    • Lingas, A.1
  • 21
    • 45049084345 scopus 로고    scopus 로고
    • Axiomatic systems for rough sets and fuzzy rough sets
    • G. Liu Axiomatic systems for rough sets and fuzzy rough sets International Journal of Approximate Reasoning 48 2008 857 867
    • (2008) International Journal of Approximate Reasoning , vol.48 , pp. 857-867
    • Liu, G.1
  • 22
    • 38349050365 scopus 로고    scopus 로고
    • Generalized rough sets over fuzzy lattices
    • G. Liu Generalized rough sets over fuzzy lattices Information Sciences 178 2008 1651 1662
    • (2008) Information Sciences , vol.178 , pp. 1651-1662
    • Liu, G.1
  • 23
    • 75849161096 scopus 로고    scopus 로고
    • Rough set theory based on two universal sets and its applications
    • G. Liu Rough set theory based on two universal sets and its applications Knowledge-Based Systems 23 2010 110 115
    • (2010) Knowledge-Based Systems , vol.23 , pp. 110-115
    • Liu, G.1
  • 24
    • 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
  • 25
    • 77649336255 scopus 로고    scopus 로고
    • Invertible approximation operators of generalized rough sets and fuzzy rough sets
    • G. Liu, and Y. Sai Invertible approximation operators of generalized rough sets and fuzzy rough sets Information Sciences 180 2010 2221 2229
    • (2010) Information Sciences , vol.180 , pp. 2221-2229
    • Liu, G.1    Sai, Y.2
  • 26
    • 49849093407 scopus 로고    scopus 로고
    • The algebraic structures of generalized rough set theory
    • G. 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.1    Zhu, W.2
  • 28
    • 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
  • 29
    • 84862895108 scopus 로고    scopus 로고
    • Attribute reduction of data with error ranges and test costs
    • F. Min, and W. Zhu Attribute reduction of data with error ranges and test costs Information Sciences 211 2012 48 67
    • (2012) Information Sciences , vol.211 , pp. 48-67
    • Min, F.1    Zhu, W.2
  • 32
    • 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
  • 33
    • 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
  • 35
    • 76349097335 scopus 로고    scopus 로고
    • Generalized lower and upper approximations in a ring
    • S. Yamak, O. Kazanc, and B. Davvaz Generalized lower and upper approximations in a ring Information Sciences 180 2010 1759 1768
    • (2010) Information Sciences , vol.180 , pp. 1759-1768
    • Yamak, S.1    Kazanc, O.2    Davvaz, B.3
  • 36
    • 48749083829 scopus 로고    scopus 로고
    • Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups
    • S. Yamak, O. Kazanci, and B. Davvaz Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups Information Sciences 178 2008 3957 3972
    • (2008) Information Sciences , vol.178 , pp. 3957-3972
    • Yamak, S.1    Kazanci, O.2    Davvaz, B.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
    • 84862808237 scopus 로고    scopus 로고
    • Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
    • Z. Zhang Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings Information Sciences 198 2012 186 206
    • (2012) Information Sciences , vol.198 , pp. 186-206
    • Zhang, Z.1
  • 41
    • 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
  • 42
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomatization of covering generalized rough sets
    • W. Zhu, and F. Wang Reduction and axiomatization 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
  • 44
    • 84860278722 scopus 로고    scopus 로고
    • The fourth type of covering-based rough sets
    • W. Zhu, and F. Wang The fourth type of covering-based rough sets Information Sciences 201 2012 80 92
    • (2012) Information Sciences , vol.201 , pp. 80-92
    • Zhu, W.1    Wang, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.