메뉴 건너뛰기




Volumn 218, Issue , 2013, Pages 194-204

Topological and lattice structures of L-fuzzy rough sets determined by lower and upper sets

Author keywords

Fuzzy rough set; Fuzzy topology; Lower (upper) set; Residuated lattice

Indexed keywords

APPROXIMATION OPERATORS; APPROXIMATION SET; COMPLETE LATTICES; EQUIVALENCE CONDITIONS; FUZZY TOPOLOGY; FUZZY-ROUGH SETS; L-TOPOLOGY; LATTICE STRUCTURES; LOWER (UPPER) SET; RESIDUATED LATTICES; ROUGH SET;

EID: 84867403217     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.06.029     Document Type: Article
Times cited : (121)

References (44)
  • 3
    • 0001522260 scopus 로고    scopus 로고
    • Fuzzy functions and their fundamental properties
    • M. Demirci Fuzzy functions and their fundamental properties Fuzzy Sets and Systems 106 1999 239 246
    • (1999) Fuzzy Sets and Systems , vol.106 , pp. 239-246
    • Demirci, M.1
  • 4
    • 2442679443 scopus 로고    scopus 로고
    • Fuzzy groups, fuzzy functions and fuzzy equivalence relations
    • M. Demirci Fuzzy groups, fuzzy functions and fuzzy equivalence relations Fuzzy Sets and Systems 144 2004 441 458
    • (2004) Fuzzy Sets and Systems , vol.144 , pp. 441-458
    • Demirci, M.1
  • 5
    • 1842527717 scopus 로고    scopus 로고
    • Topological properties of the class of generators of an indistinguishability operator
    • M. Demirci Topological properties of the class of generators of an indistinguishability operator Fuzzy Sets and Systems 143 2004 413 426
    • (2004) Fuzzy Sets and Systems , vol.143 , pp. 413-426
    • Demirci, M.1
  • 10
    • 79959376568 scopus 로고    scopus 로고
    • The relationship between L-fuzzy rough set and L-topology
    • J. Hao, and Q. Li The relationship between L-fuzzy rough set and L-topology Fuzzy Sets and Systems 178 2011 74 83
    • (2011) Fuzzy Sets and Systems , vol.178 , pp. 74-83
    • Hao, J.1    Li, Q.2
  • 15
    • 0004742042 scopus 로고
    • On the relationship between modified sets, topological spaces and rough sets
    • J. Kortelainen On the relationship between modified sets, topological spaces and rough sets Fuzzy Sets and Systems 61 1994 91 95
    • (1994) Fuzzy Sets and Systems , vol.61 , pp. 91-95
    • Kortelainen, J.1
  • 16
    • 0032294902 scopus 로고    scopus 로고
    • Rough set approach to incomplete information systems
    • M. Kryszkiewicz Rough set approach to incomplete information systems Information Sciences 112 1998 39 49
    • (1998) Information Sciences , vol.112 , pp. 39-49
    • Kryszkiewicz, M.1
  • 17
    • 33744552879 scopus 로고    scopus 로고
    • Fuzzy preorder and fuzzy topology
    • H. Lai, and D. Zhang Fuzzy preorder and fuzzy topology Fuzzy Sets and Systems 157 2006 1865 1885
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 1865-1885
    • Lai, H.1    Zhang, D.2
  • 19
    • 0002946532 scopus 로고
    • Rough approximate operators: Axiomatic rough set theory
    • W.P. Ziarko, Springer-Verlag Berlin
    • T.Y. Lin, and Q. Liu Rough approximate operators: axiomatic rough set theory W.P. Ziarko, Rough Sets, Fuzzy Sets, and Knowledge Discovery 1994 Springer-Verlag Berlin
    • (1994) Rough Sets, Fuzzy Sets, and Knowledge Discovery
    • Lin, T.Y.1    Liu, Q.2
  • 22
    • 1342328031 scopus 로고    scopus 로고
    • An axiomatic characterization of a fuzzy generalization of rough sets
    • J.S. Mi, and W.X. Zhang An axiomatic characterization of a fuzzy generalization of rough sets Information Sciences 160 2004 235 249
    • (2004) Information Sciences , vol.160 , pp. 235-249
    • Mi, J.S.1    Zhang, W.X.2
  • 24
  • 28
    • 10844293639 scopus 로고    scopus 로고
    • A general approach to fuzzy concepts
    • A. Popescu A general approach to fuzzy concepts Mathematical Logic Quarterly 50 2004 265 280
    • (2004) Mathematical Logic Quarterly , vol.50 , pp. 265-280
    • Popescu, A.1
  • 29
    • 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
  • 32
    • 67349261976 scopus 로고    scopus 로고
    • An axiomatic approach of fuzzy rough sets based on residuated lattices
    • Y.H. She, and G.J. Wang An axiomatic approach of fuzzy rough sets based on residuated lattices Computers and Mathematics with Applications 58 2009 189 201
    • (2009) Computers and Mathematics with Applications , vol.58 , pp. 189-201
    • She, Y.H.1    Wang, G.J.2
  • 35
    • 0034315561 scopus 로고    scopus 로고
    • On axiomatic characterizations of crisp approximation operators
    • H. Thiele On axiomatic characterizations of crisp approximation operators Information Sciences 129 2000 221 226
    • (2000) Information Sciences , vol.129 , pp. 221-226
    • Thiele, H.1
  • 38
  • 39
    • 0032147655 scopus 로고    scopus 로고
    • Constructive study of fuzzy sets and rough sets
    • Y.Y. Yao Constructive study of fuzzy sets and rough sets Information Sciences 109 1998 227 242
    • (1998) Information Sciences , vol.109 , pp. 227-242
    • Yao, Y.Y.1
  • 40
    • 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
  • 42
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • W. Zhu, and F.Y. 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.Y.2
  • 43
    • 34548228836 scopus 로고    scopus 로고
    • Generalized rough sets based on relations
    • W. Zhu Generalized rough sets based on relations Information Sciences 177 2007 4997 5011
    • (2007) Information Sciences , vol.177 , pp. 4997-5011
    • Zhu, W.1
  • 44
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.