메뉴 건너뛰기




Volumn 35, Issue 1, 2004, Pages 55-95

Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: Construction, classification, application

Author keywords

Implicators; Indeterminacy; Interval valued fuzzy set theory; Intuitionistic fuzzy set theory; Knowledge based systems; MV algebras; Residuated lattices; Smets Magrez axioms

Indexed keywords

ALGEBRA; KNOWLEDGE BASED SYSTEMS; MATHEMATICAL MODELS;

EID: 0242489336     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(03)00072-0     Document Type: Article
Times cited : (424)

References (62)
  • 1
    • 0242605365 scopus 로고
    • VII ITKR's Session, Sofia deposed in Central Sci.-Technical Library of Bulg. Acad. of Sci. (in Bulgarian)
    • K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia deposed in Central Sci.-Technical Library of Bulg. Acad. of Sci., 1697/84, 1983 (in Bulgarian).
    • (1983) Intuitionistic Fuzzy Sets , vol.1697 , Issue.84
    • Atanassov, K.T.1
  • 2
    • 0001334287 scopus 로고
    • Interval-valued intuitionistic fuzzy sets
    • Atanassov K.T., Gargov G. Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems. 31(3):1989;343-349.
    • (1989) Fuzzy Sets and Systems , vol.31 , Issue.3 , pp. 343-349
    • Atanassov, K.T.1    Gargov, G.2
  • 3
    • 0010860039 scopus 로고    scopus 로고
    • Elements of intuitionistic fuzzy logic. Part I
    • Atanassov K.T., Gargov G. Elements of intuitionistic fuzzy logic. Part I. Fuzzy Sets and Systems. 95(1):1998;39-52.
    • (1998) Fuzzy Sets and Systems , vol.95 , Issue.1 , pp. 39-52
    • Atanassov, K.T.1    Gargov, G.2
  • 6
    • 0034159849 scopus 로고    scopus 로고
    • Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets
    • Bustince H. Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets. International Journal of Approximate Reasoning. 23:2000;137-209.
    • (2000) International Journal of Approximate Reasoning , vol.23 , pp. 137-209
    • Bustince, H.1
  • 7
    • 0001175402 scopus 로고    scopus 로고
    • Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning
    • Bustince H., Burillo P. Mathematical analysis of interval-valued fuzzy relations: application to approximate reasoning. Fuzzy Sets and Systems. 113(2):2000;205-219.
    • (2000) Fuzzy Sets and Systems , vol.113 , Issue.2 , pp. 205-219
    • Bustince, H.1    Burillo, P.2
  • 8
    • 0242605401 scopus 로고    scopus 로고
    • About intuitionistic fuzzy implicators
    • H.J. Caulfield, S. Chen, H. Chen, R. Duro, V. Honavar, E.E. Kerre, M. Lu, M.G. Romay, T.K. Shih, D. Ventura, P.P. Wang, Y. Yang (Eds.)
    • H. Bustince, P. Burillo, V. Mohedano, About intuitionistic fuzzy implicators, in: H.J. Caulfield, S. Chen, H. Chen, R. Duro, V. Honavar, E.E. Kerre, M. Lu, M.G. Romay, T.K. Shih, D. Ventura, P.P. Wang, Y. Yang (Eds.), Proceedings of 6th Joint Conference on Information Sciences, 2002, pp. 109-112.
    • (2002) Proceedings of 6th Joint Conference on Information Sciences , pp. 109-112
    • Bustince, H.1    Burillo, P.2    Mohedano, V.3
  • 9
    • 0001826988 scopus 로고
    • Algebraic analysis of many valued logics
    • Chang C.C. Algebraic analysis of many valued logics. Transactions of AMS. 93:1958;74-80.
    • (1958) Transactions of AMS , vol.93 , pp. 74-80
    • Chang, C.C.1
  • 10
    • 0242520603 scopus 로고    scopus 로고
    • Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets
    • Chen S.M., Hsiao W.H. Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets. Fuzzy Sets and Systems. 113(2):2000;185-203.
    • (2000) Fuzzy Sets and Systems , vol.113 , Issue.2 , pp. 185-203
    • Chen, S.M.1    Hsiao, W.H.2
  • 11
    • 0242689393 scopus 로고    scopus 로고
    • On fuzzy-valued fuzzy reasoning
    • Chen Q., Kawase S. On fuzzy-valued fuzzy reasoning. Fuzzy Sets and Systems. 113(2):2000;237-251.
    • (2000) Fuzzy Sets and Systems , vol.113 , Issue.2 , pp. 237-251
    • Chen, Q.1    Kawase, S.2
  • 12
    • 0242689396 scopus 로고    scopus 로고
    • Intuitionistic fuzzy sets and interval-valued fuzzy sets: A critical comparison
    • in press
    • C. Cornelis, K.T. Atanassov, E.E. Kerre, Intuitionistic fuzzy sets and interval-valued fuzzy sets: a critical comparison, Proceedings of EUSFLAT 2003, in press.
    • (2003) Proceedings of EUSFLAT 2003
    • Cornelis, C.1    Atanassov, K.T.2    Kerre, E.E.3
  • 13
    • 0242689395 scopus 로고    scopus 로고
    • The compositional rule of inference in an intuitionistic fuzzy logic framework
    • K. Striegnitz. Kluwer Academic Publishers
    • Cornelis C., Deschrijver G. The compositional rule of inference in an intuitionistic fuzzy logic framework. Striegnitz K. Proceedings of Student Session. 2001;83-94 Kluwer Academic Publishers.
    • (2001) Proceedings of Student Session , pp. 83-94
    • Cornelis, C.1    Deschrijver, G.2
  • 15
    • 0242606116 scopus 로고    scopus 로고
    • Classification of Intuitionistic Fuzzy Implicators: An Algebraic Approach
    • H.J. Caulfield, S. Chen, H. Chen, R. Duro, V. Honavar, E.E. Kerre, M. Lu, M.G. Romay, T.K. Shih, D. Ventura, P.P. Wang, Y. Yang (Eds.)
    • C. Cornelis, G. Deschrijver, E.E. Kerre, Classification of Intuitionistic Fuzzy Implicators: an Algebraic Approach, in: H.J. Caulfield, S. Chen, H. Chen, R. Duro, V. Honavar, E.E. Kerre, M. Lu, M.G. Romay, T.K. Shih, D. Ventura, P.P. Wang, Y. Yang (Eds.), Proceedings of 6th Joint Conference on Information Sciences 2002, pp. 105-108.
    • (2002) Proceedings of 6th Joint Conference on Information Sciences , pp. 105-108
    • Cornelis, C.1    Deschrijver, G.2    Kerre, E.E.3
  • 20
    • 0242367991 scopus 로고    scopus 로고
    • Intuitionistic fuzzy rough sets: On the crossroads of imperfect knowledge
    • in press
    • C. Cornelis, M. De Cock, E.E. Kerre, Intuitionistic fuzzy rough sets: on the crossroads of imperfect knowledge, Expert Systems, in press.
    • Expert Systems
    • Cornelis, C.1    De Cock, M.2    Kerre, E.E.3
  • 21
    • 0242520612 scopus 로고    scopus 로고
    • Generalized (guaranteed) possibility distributions for hesitation and reliability representation
    • submitted for publication
    • C. Cornelis, E.E. Kerre, Generalized (guaranteed) possibility distributions for hesitation and reliability representation, Fuzzy Sets and Systems, submitted for publication.
    • Fuzzy Sets and Systems
    • Cornelis, C.1    Kerre, E.E.2
  • 22
    • 0242605407 scopus 로고    scopus 로고
    • On the structure and interpretation of an intuitionistic fuzzy expert system
    • B. De Baets, J. Fodor, G. Pasi (Eds.)
    • C. Cornelis, E.E. Kerre, On the structure and interpretation of an intuitionistic fuzzy expert system, in: B. De Baets, J. Fodor, G. Pasi (Eds.), Proceedings of EUROFUSE 2002, 2002, pp. 173-178.
    • (2002) Proceedings of EUROFUSE 2002 , pp. 173-178
    • Cornelis, C.1    Kerre, E.E.2
  • 23
    • 8344238236 scopus 로고    scopus 로고
    • Inclusion measures in intuitionistic fuzzy set theory
    • T.D. Nielsen, Zhang N.L. Springer-Verlag. (Subseries LNAI)
    • Cornelis C., Kerre E.E. Inclusion measures in intuitionistic fuzzy set theory. Nielsen T.D., Zhang N.L. Lecture Notes in Computer Science. 2711:2003;345-356 Springer-Verlag. (Subseries LNAI).
    • (2003) Lecture Notes in Computer Science , vol.2711 , pp. 345-356
    • Cornelis, C.1    Kerre, E.E.2
  • 24
    • 0037372279 scopus 로고    scopus 로고
    • Sinha-Dougherty approach to the fuzzification of set inclusion revisited
    • Cornelis C., Van Der Donck C., Kerre E.E. Sinha-Dougherty approach to the fuzzification of set inclusion revisited. Fuzzy Sets and Systems. 134(2):2003;283-295.
    • (2003) Fuzzy Sets and Systems , vol.134 , Issue.2 , pp. 283-295
    • Cornelis, C.1    Van Der Donck, C.2    Kerre, E.E.3
  • 29
    • 0037448308 scopus 로고    scopus 로고
    • On the relationship between some extensions of fuzzy set theory
    • Deschrijver G., Kerre E.E. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems. 133(2):2003;227-235.
    • (2003) Fuzzy Sets and Systems , vol.133 , Issue.2 , pp. 227-235
    • Deschrijver, G.1    Kerre, E.E.2
  • 30
    • 0008738462 scopus 로고    scopus 로고
    • A fuzzy logic with interval truth values
    • Entemann C.W. A fuzzy logic with interval truth values. Fuzzy Sets and Systems. 113(2):2000;161-183.
    • (2000) Fuzzy Sets and Systems , vol.113 , Issue.2 , pp. 161-183
    • Entemann, C.W.1
  • 31
    • 0242437048 scopus 로고    scopus 로고
    • A graded quadrivalent logic for ordinal preference modelling: Loyola-like approach
    • P. Fortemps, R. Slowinski, A graded quadrivalent logic for ordinal preference modelling: Loyola-like approach, Fuzzy Optimization and Decision Making 1, 93-111.
    • Fuzzy Optimization and Decision Making , vol.1 , pp. 93-111
    • Fortemps, P.1    Slowinski, R.2
  • 34
    • 0023165592 scopus 로고
    • A method of inference in approximate reasoning based on interval-valued fuzzy sets
    • Gorzalczany M.B. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems. 21:1987;1-17.
    • (1987) Fuzzy Sets and Systems , vol.21 , pp. 1-17
    • Gorzalczany, M.B.1
  • 37
    • 0002908674 scopus 로고
    • Presheaves over GL-monoids, non-classical logics and their applications to fuzzy subsets
    • U. Höhle, Klement E.P. Dordrecht:Kluwer
    • Höhle U. Presheaves over GL-monoids, non-classical logics and their applications to fuzzy subsets. A Handbook of the Mathematical Foundations of Fuzzy Set Theory. Höhle U., Klement E.P. 1995;127-157 Kluwer, Dordrecht.
    • (1995) A Handbook of the Mathematical Foundations of Fuzzy Set Theory , pp. 127-157
    • Höhle, U.1
  • 38
    • 0002840598 scopus 로고    scopus 로고
    • A more efficient method for defining fuzzy connectives
    • Jenei S. A more efficient method for defining fuzzy connectives. Fuzzy Sets and Systems. 90(1):1997;25-35.
    • (1997) Fuzzy Sets and Systems , vol.90 , Issue.1 , pp. 25-35
    • Jenei, S.1
  • 40
    • 0008707925 scopus 로고
    • A model theoretic approach to propositional fuzzy logic using Beth tableaux
    • L.A. Zadeh, & J. Kacprzyk. Wiley: New York
    • Kenevan J.R., Neapolitan R.E. A model theoretic approach to propositional fuzzy logic using Beth tableaux. Zadeh L.A., Kacprzyk J. Fuzzy logic for the management of uncertainty. 1992;141-157 New York, Wiley.
    • (1992) Fuzzy Logic for the Management of Uncertainty , pp. 141-157
    • Kenevan, J.R.1    Neapolitan, R.E.2
  • 44
    • 0001296806 scopus 로고
    • Some properties of fuzzy sets of type 2
    • Mizumoto M., Tanaka K. Some properties of fuzzy sets of type 2. Information and Control. (31):1976;312-340.
    • (1976) Information and Control , Issue.31 , pp. 312-340
    • Mizumoto, M.1    Tanaka, K.2
  • 52
    • 0000041473 scopus 로고    scopus 로고
    • Distances between intuitionistic fuzzy sets
    • Szmidt E., Kacrzyk J. Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems. 114(3):2000;505-518.
    • (2000) Fuzzy Sets and Systems , vol.114 , Issue.3 , pp. 505-518
    • Szmidt, E.1    Kacrzyk, J.2
  • 53
    • 0000486524 scopus 로고
    • Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
    • Takeuti G., Titani S. Intuitionistic fuzzy logic and intuitionistic fuzzy set theory. Journal of Symbolic Logic. 49(3):1984;851-866.
    • (1984) Journal of Symbolic Logic , vol.49 , Issue.3 , pp. 851-866
    • Takeuti, G.1    Titani, S.2
  • 54
    • 0000038881 scopus 로고
    • Interval valued fuzzy sets based on normal forms
    • Türkşen I.B. Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems. 20:1986;191-210.
    • (1986) Fuzzy Sets and Systems , vol.20 , pp. 191-210
    • Türkşen, I.B.1
  • 55
    • 0002428680 scopus 로고    scopus 로고
    • Non-specificity and interval-valued fuzzy sets
    • Türkşen I.B. Non-specificity and interval-valued fuzzy sets. Fuzzy Sets and Systems. 80(1):1996;87-100.
    • (1996) Fuzzy Sets and Systems , vol.80 , Issue.1 , pp. 87-100
    • Türkşen, I.B.1
  • 56
    • 0036533506 scopus 로고    scopus 로고
    • Type 2 representation and reasoning for CWW
    • Türkşen I.B. Type 2 representation and reasoning for CWW. Fuzzy Sets and Systems. 127(1):2002;17-36.
    • (2002) Fuzzy Sets and Systems , vol.127 , Issue.1 , pp. 17-36
    • Türkşen, I.B.1
  • 58
    • 0242521093 scopus 로고    scopus 로고
    • Intuitionistic fuzzy sets and L-fuzzy sets
    • Wang G., He Y. Intuitionistic fuzzy sets and L-fuzzy sets. Fuzzy Sets and Systems. 110(2):2000;271-274.
    • (2000) Fuzzy Sets and Systems , vol.110 , Issue.2 , pp. 271-274
    • Wang, G.1    He, Y.2
  • 59
    • 0003089763 scopus 로고
    • Fuzzy reasoning and fuzzy relational equations
    • Wu W.M. Fuzzy reasoning and fuzzy relational equations. Fuzzy Sets and Systems. 20(1):1986;67-79.
    • (1986) Fuzzy Sets and Systems , vol.20 , Issue.1 , pp. 67-79
    • Wu, W.M.1
  • 61
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning, part I
    • Zadeh L.A. The concept of a linguistic variable and its application to approximate reasoning, part I. Information Sciences. 8:1975;199-249.
    • (1975) Information Sciences , vol.8 , pp. 199-249
    • Zadeh, L.A.1
  • 62
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems. 1:1978;3-28.
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 3-28
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.