메뉴 건너뛰기




Volumn 304, Issue , 2015, Pages 16-27

Relations of reduction between covering generalized rough sets and concept lattices

Author keywords

Concept lattices; Covering generalized rough sets; Formal contexts; Intersection reduction

Indexed keywords

INFORMATION ANALYSIS;

EID: 84923371429     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.11.053     Document Type: Article
Times cited : (51)

References (63)
  • 2
    • 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 Inform. Sci. 107 1998 149 167
    • (1998) Inform. Sci. , vol.107 , pp. 149-167
    • Bonikowski, Z.1    Bryniarski, E.2    Wybraniec, U.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 Inform. Sci. 177 2007 3500 3518
    • (2007) Inform. Sci. , vol.177 , pp. 3500-3518
    • Chen, D.1    Wang, C.2    Hu, Q.3
  • 6
    • 77549087084 scopus 로고    scopus 로고
    • Fuzzy preference based rough sets
    • Q.H. Hu, D.R. Yu, and M.Z. Guo Fuzzy preference based rough sets Inform. Sci. 180 2010 2003 2022
    • (2010) Inform. Sci. , vol.180 , pp. 2003-2022
    • Hu, Q.H.1    Yu, D.R.2    Guo, M.Z.3
  • 8
    • 84870065928 scopus 로고    scopus 로고
    • Rough set model based on formal concept analysis
    • X. Kang, D. Li, S. Wang, and K. Qu Rough set model based on formal concept analysis Inform. Sci. 222 2013 611 625
    • (2013) Inform. Sci. , vol.222 , pp. 611-625
    • Kang, X.1    Li, D.2    Wang, S.3    Qu, K.4
  • 9
    • 0030219309 scopus 로고    scopus 로고
    • Rough concept analysis: A synthesis of rough sets and formal concept analysis
    • R.E. Kent Rough concept analysis: a synthesis of rough sets and formal concept analysis Fundam. Inform. 27 2 1996 169 181
    • (1996) Fundam. Inform. , vol.27 , Issue.2 , pp. 169-181
    • Kent, R.E.1
  • 10
    • 0036555973 scopus 로고    scopus 로고
    • Comparing performance of algorithms for generating concept lattices
    • S.O. Kuznetsov, and S.A. Obiedkov Comparing performance of algorithms for generating concept lattices J. Exp. Theor. Artif. Intell. 14 2002 189 216
    • (2002) J. Exp. Theor. Artif. Intell. , vol.14 , pp. 189-216
    • Kuznetsov, S.O.1    Obiedkov, S.A.2
  • 11
    • 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 Inform. Sci. 179 2009 1694 1704
    • (2009) Inform. Sci. , vol.179 , pp. 1694-1704
    • Li, F.1    Yin, Y.2
  • 12
    • 79651473729 scopus 로고    scopus 로고
    • A heuristic knowledge-reduction method for decision formal contexts
    • J. Li, C. Mei, and Y. Lv A heuristic knowledge-reduction method for decision formal contexts Comput. Math. Appl. 61 4 2011 1096 1106
    • (2011) Comput. Math. Appl. , vol.61 , Issue.4 , pp. 1096-1106
    • Li, J.1    Mei, C.2    Lv, Y.3
  • 13
    • 84855880165 scopus 로고    scopus 로고
    • Knowledge reduction in real decision formal contexts
    • J. Li, C. Mei, and Y. Lv Knowledge reduction in real decision formal contexts Inform. Sci. 189 2012 191 207
    • (2012) Inform. Sci. , vol.189 , pp. 191-207
    • Li, J.1    Mei, C.2    Lv, Y.3
  • 14
    • 84863069737 scopus 로고    scopus 로고
    • Knowledge reduction in formal decision contexts based on an order-preserving mapping
    • J. Li, C. Mei, and Y. Lv Knowledge reduction in formal decision contexts based on an order-preserving mapping Int. J. Gen. Syst. 41 2 2012 143 161
    • (2012) Int. J. Gen. Syst. , vol.41 , Issue.2 , pp. 143-161
    • Li, J.1    Mei, C.2    Lv, Y.3
  • 15
    • 84870063097 scopus 로고    scopus 로고
    • Incomplete decision contexts: Approximate concept construction, rule acquisition and knowledge reduction
    • J. Li, C. Mei, and Y. Lv Incomplete decision contexts: approximate concept construction, rule acquisition and knowledge reduction Int. J. Approx. Reason. 54 1 2013 149 165
    • (2013) Int. J. Approx. Reason. , vol.54 , Issue.1 , pp. 149-165
    • Li, J.1    Mei, C.2    Lv, Y.3
  • 17
    • 84908018863 scopus 로고    scopus 로고
    • Rule-preserved object compression in formal decision contexts using concept lattices
    • J. Li, C. Mei, J. Wang, and X. Zhang Rule-preserved object compression in formal decision contexts using concept lattices Knowl.-Based Syst. 2014 10.1016/j.knosys.2014.08.020
    • (2014) Knowl.-Based Syst.
    • Li, J.1    Mei, C.2    Wang, J.3    Zhang, X.4
  • 18
    • 84863011669 scopus 로고    scopus 로고
    • Attribute reduction in formal contexts: A covering rough set approach
    • T.J. Li, and W.Z. Wu Attribute reduction in formal contexts: a covering rough set approach Fundam. Inform. 111 1 2011 15 32
    • (2011) Fundam. Inform. , vol.111 , Issue.1 , pp. 15-32
    • Li, T.J.1    Wu, W.Z.2
  • 19
    • 84904750353 scopus 로고    scopus 로고
    • Feature selection via neighborhood multi-granulation fusion
    • Y. Lin, J. Li, P. Lin, G. Lin, and J. Chen Feature selection via neighborhood multi-granulation fusion Knowl.-Based Syst. 67 2014 162 168
    • (2014) Knowl.-Based Syst. , vol.67 , pp. 162-168
    • Lin, Y.1    Li, J.2    Lin, P.3    Lin, G.4    Chen, J.5
  • 20
    • 84904717982 scopus 로고    scopus 로고
    • A new nearest neighbor classifier via fusing neighborhood information
    • Y. Lin, J. Li, M. Lin, and J. Chen A new nearest neighbor classifier via fusing neighborhood information Neurocomputing 143 2014 164 169
    • (2014) Neurocomputing , vol.143 , pp. 164-169
    • Lin, Y.1    Li, J.2    Lin, M.3    Chen, J.4
  • 21
    • 34248562070 scopus 로고    scopus 로고
    • Reduction method for concept lattices based on rough set theory and its application
    • M. Liu, M.W. Shao, W.X. Zhang, and C. Wu Reduction method for concept lattices based on rough set theory and its application Comput. Math. Appl. 53 2007 1390 1410
    • (2007) Comput. Math. Appl. , vol.53 , pp. 1390-1410
    • Liu, M.1    Shao, M.W.2    Zhang, W.X.3    Wu, C.4
  • 22
    • 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 2009 521 528
    • (2009) Int. J. Approx. Reason. , vol.50 , pp. 521-528
    • Liu, G.L.1    Sai, Y.2
  • 23
    • 84875705578 scopus 로고    scopus 로고
    • Axiomatic characterizations of dual concept lattices
    • J.M. Ma, and W.X. Zhang Axiomatic characterizations of dual concept lattices Int. J. Approx. Reason. 54 5 2013 690 697
    • (2013) Int. J. Approx. Reason. , vol.54 , Issue.5 , pp. 690-697
    • Ma, J.M.1    Zhang, W.X.2
  • 24
    • 84904602554 scopus 로고    scopus 로고
    • Characterization and reduction of concept lattices through matroid theory
    • H. Mao Characterization and reduction of concept lattices through matroid theory Inform. Sci. 281 2014 338 354
    • (2014) Inform. Sci. , vol.281 , pp. 338-354
    • Mao, H.1
  • 26
    • 84865655547 scopus 로고    scopus 로고
    • Multi-adjoint property-oriented and object-oriented concept lattices
    • J. Medina Multi-adjoint property-oriented and object-oriented concept lattices Inform. Sci. 190 2012 95 106
    • (2012) Inform. Sci. , vol.190 , pp. 95-106
    • Medina, J.1
  • 27
    • 84865641911 scopus 로고    scopus 로고
    • Relating attribute reduction in formal, object-oriented and property-oriented concept lattices
    • J. Medina Relating attribute reduction in formal, object-oriented and property-oriented concept lattices Comput. Math. Appl. 64 6 2012 1992 2002
    • (2012) Comput. Math. Appl. , vol.64 , Issue.6 , pp. 1992-2002
    • Medina, J.1
  • 28
    • 84871398272 scopus 로고    scopus 로고
    • Dual multi-adjoint concept lattices
    • J. Medina, and M. Ojeda-Aciego Dual multi-adjoint concept lattices Inform. Sci. 225 2013 47 54
    • (2013) Inform. Sci. , vol.225 , pp. 47-54
    • Medina, J.1    Ojeda-Aciego, M.2
  • 29
    • 0003372660 scopus 로고
    • Rough tolerance equality
    • J. Nieminen Rough tolerance equality Fundam. Inform. 11 3 1988 289 296
    • (1988) Fundam. Inform. , vol.11 , Issue.3 , pp. 289-296
    • Nieminen, J.1
  • 33
    • 84880218963 scopus 로고    scopus 로고
    • Formal concept analysis in knowledge processing: A survey on applications
    • J. Poelmans, D.I. Ignatov, S.O. Kuznetsov, and G. Dedene Formal concept analysis in knowledge processing: a survey on applications Expert Syst. Appl. 40 16 2013 6538 6560
    • (2013) Expert Syst. Appl. , vol.40 , Issue.16 , pp. 6538-6560
    • Poelmans, J.1    Ignatov, D.I.2    Kuznetsov, S.O.3    Dedene, G.4
  • 34
    • 0000594169 scopus 로고
    • Approximation operations in approximation space
    • J.A. Pomykala Approximation operations in approximation space Bull. Pol. Acad. Sci. 35 9-10 1987 653 662
    • (1987) Bull. Pol. Acad. Sci. , vol.35 , Issue.910 , pp. 653-662
    • Pomykala, J.A.1
  • 37
    • 77951118185 scopus 로고    scopus 로고
    • Positive approximation: An accelerator for attribute reduction in rough set theory
    • Y.H. Qian, J.Y. Liang, W. Pedrycz, and C.Y. Dang Positive approximation: an accelerator for attribute reduction in rough set theory Artif. Intell. 174 2010 597 618
    • (2010) Artif. Intell. , vol.174 , pp. 597-618
    • Qian, Y.H.1    Liang, J.Y.2    Pedrycz, W.3    Dang, C.Y.4
  • 39
    • 84922180990 scopus 로고    scopus 로고
    • Object-oriented and property-oriented concept lattices
    • Y. Ren, J. Li, Ch. Aswani Kumar, W. Liu, and Rule acquisition in formal decision contexts based on formal object-oriented and property-oriented concept lattices Sci. World J. 2014 10.1155/2014/685362
    • (2014) Sci. World J.
    • Ren, Y.1    Li, J.2    Aswani Kumar, Ch.3    Liu, W.4    Formal, R.A.I.F.D.5
  • 40
    • 84888025970 scopus 로고    scopus 로고
    • Rule acquisition and complexity reduction in formal decision contexts
    • M.W. Shao, Y. Leung, and W.Z. Wu Rule acquisition and complexity reduction in formal decision contexts Int. J. Approx. Reason. 55 1 2014 259 274
    • (2014) Int. J. Approx. Reason. , vol.55 , Issue.1 , pp. 259-274
    • Shao, M.W.1    Leung, Y.2    Wu, W.Z.3
  • 41
    • 84887975118 scopus 로고    scopus 로고
    • Vector-based attribute reduction method for formal contexts
    • M. Shao, M. Liu, and L. Guo Vector-based attribute reduction method for formal contexts Fundam. Inform. 126 4 2013 397 414
    • (2013) Fundam. Inform. , vol.126 , Issue.4 , pp. 397-414
    • Shao, M.1    Liu, M.2    Guo, L.3
  • 42
    • 0030217715 scopus 로고    scopus 로고
    • Tolerance approximation spaces
    • A. Skowron, and J. Stepaniuk Tolerance approximation spaces Fundam. Inform. 27 1996 245 253
    • (1996) Fundam. Inform. , vol.27 , pp. 245-253
    • Skowron, A.1    Stepaniuk, J.2
  • 43
    • 0033719032 scopus 로고    scopus 로고
    • A generalized definition of rough approximations based on similarity
    • R. Slowinski, and D. Vanderpooten A generalized definition of rough approximations based on similarity IEEE Trans. Knowl. Data Eng. 12 2000 331 336
    • (2000) IEEE Trans. Knowl. Data Eng. , vol.12 , pp. 331-336
    • Slowinski, R.1    Vanderpooten, D.2
  • 44
    • 85081869075 scopus 로고    scopus 로고
    • UCI Learning Repository, 2014. < http://archive.ics.uci.edu/ml/datasets.html >.
    • (2014) UCI Learning Repository
  • 45
    • 44149088330 scopus 로고    scopus 로고
    • Relations of attribute reduction between object and property oriented concept lattices
    • X. Wang, and W.X. Zhang Relations of attribute reduction between object and property oriented concept lattices Knowl.-Based Syst. 21 2008 398 403
    • (2008) Knowl.-Based Syst. , vol.21 , pp. 398-403
    • Wang, X.1    Zhang, W.X.2
  • 46
    • 84885177420 scopus 로고    scopus 로고
    • A novel method for attribute reduction of covering decision systems
    • C. Wang, Q. He, D. Chen, and Q. Hu A novel method for attribute reduction of covering decision systems Inform. Sci. 254 2014 181 196
    • (2014) Inform. Sci. , vol.254 , pp. 181-196
    • Wang, C.1    He, Q.2    Chen, D.3    Hu, Q.4
  • 47
    • 77957902480 scopus 로고    scopus 로고
    • Relation between concept lattice reduction and rough set reduction
    • L. Wei, and J.J. Qi Relation between concept lattice reduction and rough set reduction Knowl.-Based Syst. 23 2010 934 938
    • (2010) Knowl.-Based Syst. , vol.23 , pp. 934-938
    • Wei, L.1    Qi, J.J.2
  • 49
    • 0000398336 scopus 로고
    • Restructuring lattice theory: An approach based on hierarachies of concepts
    • I. Rival, Reidel Dordrecht-Boston
    • R. Wille Restructuring lattice theory: an approach based on hierarachies of concepts I. Rival, Ordered Sets 1982 Reidel Dordrecht-Boston 445 470
    • (1982) Ordered Sets , pp. 445-470
    • Wille, R.1
  • 50
    • 70349314328 scopus 로고    scopus 로고
    • Granular computing and knowledge reduction in formal context
    • W.Z. Wu, Y. Leung, and J.S. Mi Granular computing and knowledge reduction in formal context IEEE Trans. Knowl. Data Eng. 21 10 2009 1461 1474
    • (2009) IEEE Trans. Knowl. Data Eng. , vol.21 , Issue.10 , pp. 1461-1474
    • Wu, W.Z.1    Leung, Y.2    Mi, J.S.3
  • 51
    • 80054058362 scopus 로고    scopus 로고
    • Theory and applications of granular labelled partitions in multi-scale decision tables
    • W.Z. Wu, and Y. Leung Theory and applications of granular labelled partitions in multi-scale decision tables Inform. Sci. 181 18 2011 3878 3897
    • (2011) Inform. Sci. , vol.181 , Issue.18 , pp. 3878-3897
    • Wu, W.Z.1    Leung, Y.2
  • 53
    • 34548483861 scopus 로고    scopus 로고
    • Measuring roughness of generalized rough sets induced by a covering
    • W.H. Xu, and W.X. Zhang Measuring roughness of generalized rough sets induced by a covering Fuzzy Sets Syst. 158 22 2007 2443 2455
    • (2007) Fuzzy Sets Syst. , vol.158 , Issue.22 , pp. 2443-2455
    • Xu, W.H.1    Zhang, W.X.2
  • 54
    • 76049091872 scopus 로고    scopus 로고
    • Reduction about approximation spaces of covering generalized rough set
    • T. Yang, and Q.G. Li Reduction about approximation spaces of covering generalized rough set 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
  • 56
    • 9444268143 scopus 로고    scopus 로고
    • A comparative study of formal concept analysis and rough set theory in data analysis
    • Y.Y. Yao, A comparative study of formal concept analysis and rough set theory in data analysis, in: Proceedings of 3rd International Conference on RSCTC'04, 2004, pp. 59-68.
    • (2004) Proceedings of 3rd International Conference on RSCTC'04 , pp. 59-68
    • Yao, Y.Y.1
  • 58
    • 84947766828 scopus 로고    scopus 로고
    • On generalized Pawlak approximation operators
    • Y.Y. Yao On generalized Pawlak approximation operators Rough Sets Curr. Trends Comput. LNAI 1424 1998 298 307
    • (1998) Rough Sets Curr. Trends Comput. LNAI , vol.1424 , pp. 298-307
    • Yao, Y.Y.1
  • 59
  • 60
    • 33645987921 scopus 로고    scopus 로고
    • Attribute reduction in concept lattice based on discernibility matrix
    • W. Zhang, L. Wei, and J. Qi Attribute reduction in concept lattice based on discernibility matrix Lect. Notes Comput. Sci. 3642 2005 157 165
    • (2005) Lect. Notes Comput. Sci. , vol.3642 , pp. 157-165
    • Zhang, W.1    Wei, L.2    Qi, J.3
  • 61
    • 84881318490 scopus 로고    scopus 로고
    • Multi-confidence rule acquisition oriented attribute reduction of covering decision systems via combinatorial optimization
    • X. Zhang, C. Mei, D. Chen, and J. Li Multi-confidence rule acquisition oriented attribute reduction of covering decision systems via combinatorial optimization Knowl.-Based Syst. 50 2013 187 197
    • (2013) Knowl.-Based Syst. , vol.50 , pp. 187-197
    • Zhang, X.1    Mei, C.2    Chen, D.3    Li, J.4
  • 62
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomatization of covering generalized rough sets
    • W. Zhu, and F.Y. Wang Reduction and axiomatization of covering generalized rough sets Inform. Sci. 152 2003 217 230
    • (2003) Inform. Sci. , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.Y.2
  • 63
    • 33845963394 scopus 로고    scopus 로고
    • Topological approaches to covering rough sets
    • W. Zhu Topological approaches to covering rough sets Inform. Sci. 177 6 2007 1499 1508
    • (2007) Inform. Sci. , vol.177 , Issue.6 , pp. 1499-1508
    • Zhu, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.