메뉴 건너뛰기




Volumn 56, Issue PA, 2015, Pages 43-58

Connections between covering-based rough sets and concept lattices

Author keywords

Algorithm; Approximation operator; Concept lattice; Covering based rough sets; Formal concept analysis; Knowledge reduction

Indexed keywords

FORMAL CONCEPT ANALYSIS;

EID: 84912064539     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2014.09.001     Document Type: Article
Times cited : (38)

References (50)
  • 1
    • 79953050768 scopus 로고    scopus 로고
    • A comparison of two kinds of definitions of rough approximations based on a similarity relation
    • E.A. Abo-Tabl, A comparison of two kinds of definitions of rough approximations based on a similarity relation, Inf. Sci. 181 (2011) 2587-2596.
    • (2011) Inf. Sci. , vol.181 , pp. 2587-2596
    • Abo-Tabl, E.A.1
  • 3
    • 84889885225 scopus 로고    scopus 로고
    • Membership function based rough set
    • M.K. Chakraborty, Membership function based rough set, Int. J. Approx. Reason. 55 (2014) 402-411.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 402-411
    • Chakraborty, M.K.1
  • 4
    • 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, 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
  • 5
    • 84894486592 scopus 로고    scopus 로고
    • Evidence-theory-based numerical algorithms of attribute reduction with neighborhood-covering rough sets
    • D.G. Chen, W.L. Li, X. Zhang, S. Kwong, Evidence-theory-based numerical algorithms of attribute reduction with neighborhood-covering rough sets, Int. J. Approx. Reason. 55 (2014) 908-923.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 908-923
    • Chen, D.G.1    Li, W.L.2    Zhang, X.3    Kwong, S.4
  • 6
    • 35248813940 scopus 로고    scopus 로고
    • Approximation operators in qualitative data analysis
    • H. de Swart, E. Orlowska, G. Schmidt, M. Roubens (Eds.), Springer, Heidelberg 2929
    • I. Düntsch, G. Gediga, Approximation operators in qualitative data analysis, in: H. de Swart, E. Orlowska, G. Schmidt, M. Roubens (Eds.), Theory and Application of Relational Structures as Knowledge Instruments, Springer, Heidelberg 2929, 2003, pp.214-230.
    • (2003) Theory and Application of Relational Structures As Knowledge Instruments , pp. 214-230
    • Düntsch, I.1    Gediga, G.2
  • 9
    • 38049075550 scopus 로고    scopus 로고
    • Lattice theory for rough sets
    • Transactions on Rough Sets VI
    • J. Järvinen, Lattice theory for rough sets, in: Transactions on Rough Sets VI, in: Lect. Notes Comput. Sci., vol.4374, 2007, pp.400-498.
    • (2007) Lect. Notes Comput. Sci. , vol.4374 , pp. 400-498
    • Järvinen, J.1
  • 10
    • 0036555973 scopus 로고    scopus 로고
    • Comparing performance of algorithms for generating concept lattices
    • S.O. Kuznetsov, 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
    • 79651473729 scopus 로고    scopus 로고
    • A heuristic knowledge-reduction method for decision formal contexts
    • J.H. Li, C.L. Mei, Y.J. Lv, A heuristic knowledge-reduction method for decision formal contexts, Comput. Math. Appl. 61 (2011) 1096-1106.
    • (2011) Comput. Math. Appl. , vol.61 , pp. 1096-1106
    • Li, J.H.1    Mei, C.L.2    Lv, Y.J.3
  • 12
    • 84855880165 scopus 로고    scopus 로고
    • Knowledge reduction in real decision formal contexts
    • J.H. Li, C.L. Mei, Y.J. Lv, Knowledge reduction in real decision formal contexts, Inf. Sci. 189 (2012) 191-207.
    • (2012) Inf. Sci. , vol.189 , pp. 191-207
    • Li, J.H.1    Mei, C.L.2    Lv, Y.J.3
  • 13
    • 84863069737 scopus 로고    scopus 로고
    • Knowledge reduction in formal decision contexts based on an order-preserving mapping
    • J.H. Li, C.L. Mei, Y.J. Lv, Knowledge reduction in formal decision contexts based on an order-preserving mapping, Int. J. Gen. Syst. 41 (2012) 143-161.
    • (2012) Int. J. Gen. Syst. , vol.41 , pp. 143-161
    • Li, J.H.1    Mei, C.L.2    Lv, Y.J.3
  • 15
    • 84870063097 scopus 로고    scopus 로고
    • Incomplete decision contexts: Approximate concept construction, rule acquisition and knowledge reduction
    • J.H. Li, C.L. Mei, Y.J. Lv, Incomplete decision contexts: approximate concept construction, rule acquisition and knowledge reduction, Int. J. Approx. Reason. 54 (2013) 149-165.
    • (2013) Int. J. Approx. Reason. , vol.54 , pp. 149-165
    • Li, J.H.1    Mei, C.L.2    Lv, Y.J.3
  • 16
    • 69049116360 scopus 로고    scopus 로고
    • Knowledge reduction in formal contexts based on covering rough sets
    • T.J. Li, Knowledge reduction in formal contexts based on covering rough sets, in: Lect. Notes Comput. Sci., vol.5589, 2009, pp.128-135.
    • (2009) Lect. Notes Comput. Sci. , vol.5589 , pp. 128-135
    • Li, T.J.1
  • 17
    • 84878263446 scopus 로고    scopus 로고
    • Multigranulation rough sets: From partition to covering
    • G.P. Lin, J.Y. Liang, Y.H. Qian, Multigranulation rough sets: from partition to covering, Inf. Sci. 241 (2013) 101-118.
    • (2013) Inf. Sci. , vol.241 , pp. 101-118
    • Lin, G.P.1    Liang, J.Y.2    Qian, Y.H.3
  • 18
    • 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, 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
  • 19
    • 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 (2012) 1992-2002.
    • (2012) Comput. Math. Appl. , vol.64 , pp. 1992-2002
    • Medina, J.1
  • 20
    • 0027274562 scopus 로고
    • From concept lattices to approximation spaces: Algebraic structures of some spaces of partial objects
    • P. Pagliani, From concept lattices to approximation spaces: algebraic structures of some spaces of partial objects, Fundam. Inform. 18 (1993) 1-25.
    • (1993) Fundam. Inform. , vol.18 , pp. 1-25
    • Pagliani, P.1
  • 22
    • 33645990928 scopus 로고    scopus 로고
    • Transforming information systems
    • P. Pagliani, Transforming information systems, in: Lect. Notes Comput. Sci., vol. 3641, 2005, pp.660-670.
    • (2005) Lect. Notes Comput. Sci. , vol.3641 , pp. 660-670
    • Pagliani, P.1
  • 25
  • 28
    • 0000594169 scopus 로고
    • Approximation operators in approximation space
    • J. Pomykała, Approximation operators in approximation space, Bull. Pol. Acad. Sci., Math. 35 (1987) 653-662.
    • (1987) Bull. Pol. Acad. Sci., Math. , vol.35 , pp. 653-662
    • Pomykała, J.1
  • 31
    • 84889884169 scopus 로고    scopus 로고
    • Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
    • M. Restrepo, C. Cornelis, J. Gómez, Duality, conjugacy and adjointness of approximation operators in covering-based rough sets, Int. J. Approx. Reason. 55 (2014) 469-485.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 469-485
    • Restrepo, M.1    Cornelis, C.2    Gómez, J.3
  • 32
    • 33646007037 scopus 로고    scopus 로고
    • Approximation in formal concept analysis
    • Proceedings of RSFDGrC 2005
    • M.W. Shao, W.X. Zhang, Approximation in formal concept analysis, in: Proceedings of RSFDGrC 2005, in: Lect. Notes Artif. Intell., 2005, pp.43-52.
    • (2005) Lect. Notes Artif. Intell. , pp. 43-52
    • Shao, M.W.1    Zhang, W.X.2
  • 33
    • 84888025970 scopus 로고    scopus 로고
    • Rule acquisition and complexity reduction in formal decision contexts
    • M.W. Shao, Y. Leung, W.Z. Wu, Rule acquisition and complexity reduction in formal decision contexts, Int. J. Approx. Reason. 55 (2014) 259-274.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 259-274
    • Shao, M.W.1    Leung, Y.2    Wu, W.Z.3
  • 34
    • 84889888708 scopus 로고    scopus 로고
    • On the rough consistency measures of logic theories and approximate reasoning in rough logic
    • Y.H. She, On the rough consistency measures of logic theories and approximate reasoning in rough logic, Int. J. Approx. Reason. 55 (2014) 486-499.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 486-499
    • She, Y.H.1
  • 36
    • 44149088330 scopus 로고    scopus 로고
    • Relations of attribute reduction between object and property oriented concept lattices
    • X. Wang, 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
  • 37
    • 77957902480 scopus 로고    scopus 로고
    • Relation between concept lattice reduction and rough set reduction
    • L. Wei, 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
  • 38
    • 0000398336 scopus 로고
    • Restructuring lattice theory: An approach based on hierarchies of concepts
    • I. Rival (Ed.)
    • R. Wille, Restructuring lattice theory: an approach based on hierarchies of concepts, in: I. Rival (Ed.), Ordered Sets, Reidel, Dordrecht-Boston, 1982, pp.445-470.
    • (1982) Ordered Sets, Reidel, Dordrecht-Boston , pp. 445-470
    • Wille, R.1
  • 39
    • 70349314328 scopus 로고    scopus 로고
    • Granular computing and knowledge reduction in formal contexts
    • W.Z. Wu, Y. Leung, J.S. Mi, Granular computing and knowledge reduction in formal contexts, IEEE Trans. Knowl. Data Eng. 21(10) (2009) 1464-1474.
    • (2009) IEEE Trans. Knowl. Data Eng. , vol.21 , Issue.10 , pp. 1464-1474
    • Wu, W.Z.1    Leung, Y.2    Mi, J.S.3
  • 40
    • 84894451158 scopus 로고    scopus 로고
    • A novel cognitive system model and approach to transformation of information granules
    • W.H. Xu, J.Z. Pang, S.Q. Luo, A novel cognitive system model and approach to transformation of information granules, Int. J. Approx. Reason. 55 (2014) 853-866.
    • (2014) Int. J. Approx. Reason. , vol.55 , pp. 853-866
    • Xu, W.H.1    Pang, J.Z.2    Luo, S.Q.3
  • 41
    • 76049091872 scopus 로고    scopus 로고
    • Reduction about approximation spaces of covering generalized rough sets
    • T. Yang, 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
  • 42
    • 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. 101 (1998) 239-259.
    • (1998) Inf. Sci. , vol.101 , pp. 239-259
    • Yao, Y.Y.1
  • 46
    • 84860268481 scopus 로고    scopus 로고
    • Covering based rough set approximations
    • Y.Y. Yao, 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
  • 47
    • 0005755397 scopus 로고
    • Approximations in the space (u, π)
    • W. Żakowski, Approximations in the space (u, π), Demonstr. Math. 16 (1983) 761-769.
    • (1983) Demonstr. Math. , vol.16 , pp. 761-769
    • Zakowski, W.1
  • 48
    • 33746368368 scopus 로고    scopus 로고
    • Attribute reduction theory and approach to concept lattice
    • W.X. Zhang, L. Wei, J.J. Qi, Attribute reduction theory and approach to concept lattice, Sci. China, Ser. F, Inf. Sci. 48 (2005) 713-726.
    • (2005) Sci. China, Ser. F, Inf. Sci. , vol.48 , pp. 713-726
    • Zhang, W.X.1    Wei, L.2    Qi, J.J.3
  • 49
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • W. Zhu, F.Y. Wang, Reduction and axiomization of covering generalized rough sets, Inf. Sci. 152 (2003) 217-230.
    • (2003) Inf. Sci. , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.