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Volumn 154, Issue 1, 2005, Pages 76-102

On characterizations of (script I sign script T Sign)-fuzzy rough approximation operators

Author keywords

Approximation operators; Binary relations; Fuzzy logical connectives; Fuzzy rough sets; Fuzzy sets; Rough sets

Indexed keywords

APPROXIMATION THEORY; BOOLEAN ALGEBRA; FUZZY SETS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MODAL ANALYSIS; THEOREM PROVING; TOPOLOGY;

EID: 19044390948     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2005.02.011     Document Type: Article
Times cited : (230)

References (35)
  • 1
    • 0029209528 scopus 로고
    • On the relationship of extended necessity measures to implication operators on the unit interval
    • A.A. Abdel-Hamid, and N.N. Morsi On the relationship of extended necessity measures to implication operators on the unit interval Inform. Sci. 82 1995 129 145
    • (1995) Inform. Sci. , vol.82 , pp. 129-145
    • Abdel-Hamid, A.A.1    Morsi, N.N.2
  • 3
    • 0038856090 scopus 로고
    • An algebraic approach to the approximation of information
    • S. Comer An algebraic approach to the approximation of information Fund. Inform. 14 1991 492 502
    • (1991) Fund. Inform. , vol.14 , pp. 492-502
    • Comer, S.1
  • 4
    • 0040634308 scopus 로고
    • On connections between information systems, rough sets, and algebraic logic
    • C. Rauszer Polish Academy of Sciences
    • S. Comer On connections between information systems, rough sets, and algebraic logic C. Rauszer Algebraic Methods in Logic and Computer Science, Banach Center Publisher vol. 28 1993 Polish Academy of Sciences 117 127
    • (1993) Algebraic Methods in Logic and Computer Science, Banach Center Publisher , vol.28 , pp. 117-127
    • Comer, S.1
  • 5
    • 0242489336 scopus 로고    scopus 로고
    • Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: Construction, classification, application
    • C. Cornelis, G. Deschrijver, and E.E. Kerre Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application Internat. J. Approx. Reason. 35 2004 55 95
    • (2004) Internat. J. Approx. Reason. , vol.35 , pp. 55-95
    • Cornelis, C.1    Deschrijver, G.2    Kerre, E.E.3
  • 6
    • 84963133436 scopus 로고
    • Rough fuzzy sets and fuzzy rough sets
    • D. Dubois, and H. Prade Rough fuzzy sets and fuzzy rough sets Internat. J. Gen. Systems 17 1990 191 208
    • (1990) Internat. J. Gen. Systems , vol.17 , pp. 191-208
    • Dubois, D.1    Prade, H.2
  • 8
    • 38249009996 scopus 로고
    • Fuzzy rough sets: Application to feature selection
    • L.I. Kuncheva Fuzzy rough sets: application to feature selection Fuzzy Sets and Systems 51 1992 147 153
    • (1992) Fuzzy Sets and Systems , vol.51 , pp. 147-153
    • Kuncheva, L.I.1
  • 9
    • 0002946532 scopus 로고
    • Rough approximate operators: Axiomatic rough set theory
    • W. Ziarko Springer Berlin
    • T.Y. Lin, and Q. Liu Rough approximate operators: axiomatic rough set theory W. Ziarko Rough Sets Fuzzy Sets and Knowledge Discovery 1994 Springer Berlin 256 260
    • (1994) Rough Sets Fuzzy Sets and Knowledge Discovery , pp. 256-260
    • Lin, T.Y.1    Liu, Q.2
  • 10
    • 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 Inform. Sci. 160 2004 235 249
    • (2004) Inform. Sci. , vol.160 , pp. 235-249
    • Mi, J.-S.1    Zhang, W.-X.2
  • 16
    • 38249005526 scopus 로고
    • Fuzzy implication operators and generalized fuzzy method of cases
    • D. Ruan, and E.E. Kerre Fuzzy implication operators and generalized fuzzy method of cases Fuzzy Sets and Systems 54 1993 23 37
    • (1993) Fuzzy Sets and Systems , vol.54 , pp. 23-37
    • Ruan, D.1    Kerre, E.E.2
  • 17
    • 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. Knowledge and Data Eng. 12 2000 331 336
    • (2000) IEEE Trans. Knowledge and Data Eng. , vol.12 , pp. 331-336
    • Slowinski, R.1    Vanderpooten, D.2
  • 18
    • 0034315561 scopus 로고    scopus 로고
    • On axiomatic characterisations of crisp approximation operators
    • H. Thiele On axiomatic characterisations of crisp approximation operators Inform. Sci. 129 2000 221 226
    • (2000) Inform. Sci. , vol.129 , pp. 221-226
    • Thiele, H.1
  • 19
    • 1342296351 scopus 로고    scopus 로고
    • On axiomatic characterisation of fuzzy approximation operators I, the fuzzy rough set based case
    • Banff Park Lodge, Bariff, Canada, October 19-19 Conf. Proc. 239-247
    • H. Thiele, On axiomatic characterisation of fuzzy approximation operators I, the fuzzy rough set based case, RSCTC 2000, Banff Park Lodge, Bariff, Canada, October 19-19, 2000, Conf. Proc., pp. 239-247.
    • (2000) RSCTC 2000
    • Thiele, H.1
  • 20
    • 0034822265 scopus 로고    scopus 로고
    • On axiomatic characterisation of fuzzy approximation operators II, the rough fuzzy set based case
    • H. Thiele On axiomatic characterisation of fuzzy approximation operators II, the rough fuzzy set based case Proc. 31st IEEE Internat. Symp. on Multiple-Valued Logic 2001 330 335
    • (2001) Proc. 31st IEEE Internat. Symp. on Multiple-Valued Logic , pp. 330-335
    • Thiele, H.1
  • 21
    • 0036343225 scopus 로고    scopus 로고
    • On axiomatic characterization of fuzzy approximation operators III the fuzzy diamond and fuzzy box cases
    • H. Thiele On axiomatic characterization of fuzzy approximation operators III the fuzzy diamond and fuzzy box cases The 10th IEEE Internat. Conf. on Fuzzy Systems vol. 2 2001 1148 1151
    • (2001) The 10th IEEE Internat. Conf. on Fuzzy Systems , vol.2 , pp. 1148-1151
    • Thiele, H.1
  • 23
    • 0242385735 scopus 로고    scopus 로고
    • Connections between rough set theory and Dempster-Shafer theory of evidence
    • W.-Z. Wu, Y. Leung, and W.-X. Zhang Connections between rough set theory and Dempster-Shafer theory of evidence Internat. J. Gen. Systems 31 2002 405 430
    • (2002) Internat. J. Gen. Systems , vol.31 , pp. 405-430
    • Wu, W.-Z.1    Leung, Y.2    Zhang, W.-X.3
  • 24
  • 25
    • 0036646071 scopus 로고    scopus 로고
    • Neighborhood operator systems and approximations
    • W.-Z. Wu, and W.-X. Zhang Neighborhood operator systems and approximations Inform. Sci. 144 2002 201 217
    • (2002) Inform. Sci. , vol.144 , pp. 201-217
    • Wu, W.-Z.1    Zhang, W.-X.2
  • 26
    • 1642525198 scopus 로고    scopus 로고
    • Constructive and axiomatic approaches of fuzzy approximation operators
    • W.-Z. Wu, and W.-X. Zhang Constructive and axiomatic approaches of fuzzy approximation operators Inform. Sci. 159 2004 233 254
    • (2004) Inform. Sci. , vol.159 , pp. 233-254
    • Wu, W.-Z.1    Zhang, W.-X.2
  • 28
    • 0001375356 scopus 로고    scopus 로고
    • Two views of the theory of rough sets in finite universes
    • Y.Y. Yao Two views of the theory of rough sets in finite universes Internat. J. Approx. Reason. 15 1996 291 317
    • (1996) Internat. J. Approx. Reason. , vol.15 , pp. 291-317
    • Yao, Y.Y.1
  • 29
    • 0012821345 scopus 로고    scopus 로고
    • Combination of rough and fuzzy sets based on alpha-level sets
    • T.Y. Lin N. Cercone Kluwer Academic Publishers Boston
    • Y.Y. Yao Combination of rough and fuzzy sets based on alpha-level sets T.Y. Lin N. Cercone Rough Sets and Data Mining: Analysis for Imprecise Data 1997 Kluwer Academic Publishers Boston 301 321
    • (1997) Rough Sets and Data Mining: Analysis for Imprecise Data , pp. 301-321
    • Yao, Y.Y.1
  • 30
    • 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 J. Inform. Sci. 109 1998 21 47
    • (1998) J. Inform. Sci. , vol.109 , pp. 21-47
    • Yao, Y.Y.1
  • 32
    • 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 Inform. Sci. 111 1998 239 259
    • (1998) Inform. Sci. , vol.111 , pp. 239-259
    • Yao, Y.Y.1
  • 34
    • 0040634309 scopus 로고
    • On a concept of rough sets
    • W. Zakowski On a concept of rough sets Demonstratio Math. XV 1982 1129 1133
    • (1982) Demonstratio Math. , vol.15 , pp. 1129-1133
    • Zakowski, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.