메뉴 건너뛰기




Volumn 134, Issue 2, 2003, Pages 209-229

Automorphisms, negations and implication operators

Author keywords

Automorphism; Fuzzy negation; Implication operations; Strong negation; t Conorm; t Norm

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 0037369062     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00214-2     Document Type: Article
Times cited : (268)

References (47)
  • 1
    • 0002440272 scopus 로고
    • Sur les opérations définies pour des nombres réels
    • Aczél J. Sur les opérations définies pour des nombres réels. Bull Soc. Math. France. 76:1949;59-64.
    • (1949) Bull Soc. Math. France , vol.76 , pp. 59-64
    • Aczél, J.1
  • 3
    • 0002224541 scopus 로고
    • Fuzzy power sets and fuzzy implication operators
    • Bandler W., Kohout L. Fuzzy power sets and fuzzy implication operators. Fuzzy Sets and Systems. 4:1980;13-30.
    • (1980) Fuzzy Sets and Systems , vol.4 , pp. 13-30
    • Bandler, W.1    Kohout, L.2
  • 4
    • 0015559433 scopus 로고
    • On the analytic formalism of the theory of fuzzy sets
    • Bellman R., Giertz M. On the analytic formalism of the theory of fuzzy sets. Inform. Sci. 5:1973;149-156.
    • (1973) Inform. Sci. , vol.5 , pp. 149-156
    • Bellman, R.1    Giertz, M.2
  • 6
    • 0020168472 scopus 로고
    • A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators
    • Dombi J. A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets and Systems. 8:1982;149-163.
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 149-163
    • Dombi, J.1
  • 8
    • 0019999435 scopus 로고
    • A class of fuzzy measures based on triangular norms
    • Dubois D., Prade H. A class of fuzzy measures based on triangular norms. Internat. J. Gen. Systems. 8:1982;43-61.
    • (1982) Internat. J. Gen. Systems , vol.8 , pp. 43-61
    • Dubois, D.1    Prade, H.2
  • 9
    • 0021693560 scopus 로고
    • Fuzzy logics and generalized modus ponens revised
    • Dubois D., Prade H. Fuzzy logics and generalized modus ponens revised. Internat. J. Cybernet. Systems. 15:1984;293-331.
    • (1984) Internat. J. Cybernet. Systems , vol.15 , pp. 293-331
    • Dubois, D.1    Prade, H.2
  • 10
    • 44949277903 scopus 로고
    • Fuzzy sets in approximate reasoning, Part 1: Inference with possibility distributions
    • Dubois D., Prade H. Fuzzy sets in approximate reasoning, Part 1. inference with possibility distributions Fuzzy Sets and Systems. 40:1991;143-202.
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 143-202
    • Dubois, D.1    Prade, H.2
  • 12
    • 44949271432 scopus 로고
    • On fuzzy implication operators
    • Fodor J. On fuzzy implication operators. Fuzzy Sets and Systems. 42:1991;293-300.
    • (1991) Fuzzy Sets and Systems , vol.42 , pp. 293-300
    • Fodor, J.1
  • 13
    • 0013416593 scopus 로고
    • On contrapositive symmetry of implications in fuzzy logic
    • Aachen, Verlag der Augustinus Buchhandlung Aachen
    • J. Fodor, On contrapositive symmetry of implications in fuzzy logic, Proc. of the Ist European Congr. on Fuzzy and Intelligent Technologies, Aachen, Verlag der Augustinus Buchhandlung Aachen, 1993, pp. 1342-1348.
    • (1993) Proc. of the Ist European Congr. on Fuzzy and Intelligent Technologies , pp. 1342-1348
    • Fodor, J.1
  • 14
    • 0027632235 scopus 로고
    • A new look at fuzzy connectives
    • Fodor J. A new look at fuzzy connectives. Fuzzy Sets and Systems. 57:1993;141-148.
    • (1993) Fuzzy Sets and Systems , vol.57 , pp. 141-148
    • Fodor, J.1
  • 15
    • 0013417955 scopus 로고
    • Fuzzy preference modelling and multicriteria decision support
    • Dordrecht: Kluwer Academic Publishers
    • Fodor J., Roubens M. Fuzzy preference modelling and multicriteria decision support. Theory and Decision Library. 1994;Kluwer Academic Publishers, Dordrecht.
    • (1994) Theory and Decision Library
    • Fodor, J.1    Roubens, M.2
  • 16
    • 0002118960 scopus 로고
    • Contrapositive symmetry of fuzzy implications
    • Fodor J. Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems. 69:1995;141-156.
    • (1995) Fuzzy Sets and Systems , vol.69 , pp. 141-156
    • Fodor, J.1
  • 18
    • 34250481936 scopus 로고
    • The logic of inexact reasoning
    • Goguen J.A. The logic of inexact reasoning. Synthese. 19:1969;325-373.
    • (1969) Synthese , vol.19 , pp. 325-373
    • Goguen, J.A.1
  • 19
    • 34250481936 scopus 로고
    • The logic of inexact concepts
    • Goguen J.A. The logic of inexact concepts. Synthese. 19:1969;325-373.
    • (1969) Synthese , vol.19 , pp. 325-373
    • Goguen, J.A.1
  • 20
    • 0000652239 scopus 로고
    • Theory of T-norms and fuzzy inference methods
    • Gupta M.M., Qi J. Theory of T-norms and fuzzy inference methods. Fuzzy Sets and Systems. 40:1991;431-450.
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 431-450
    • Gupta, M.M.1    Qi, J.2
  • 21
    • 0020336396 scopus 로고
    • On measure of fuzziness and fuzzy complements
    • Higashi M., Klir G.J. On measure of fuzziness and fuzzy complements. Internat. J. Gen. Systems. 8(3):1982;169-180.
    • (1982) Internat. J. Gen. Systems , vol.8 , Issue.3 , pp. 169-180
    • Higashi, M.1    Klir, G.J.2
  • 22
    • 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. 90:1997;25-35.
    • (1997) Fuzzy Sets and Systems , vol.90 , pp. 25-35
    • Jenei, S.1
  • 23
    • 0000482672 scopus 로고    scopus 로고
    • New family of triangular norms via contrapositive symmetrization of residuated implications
    • Jenei S. New family of triangular norms via contrapositive symmetrization of residuated implications. Fuzzy Sets and Systems. 110:2000;157-174.
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 157-174
    • Jenei, S.1
  • 24
    • 0001409897 scopus 로고    scopus 로고
    • A survey on different triangular norm-based fuzzy logics
    • Klement E., Navara M. A survey on different triangular norm-based fuzzy logics. Fuzzy Sets and Systems. 101:1999;241-251.
    • (1999) Fuzzy Sets and Systems , vol.101 , pp. 241-251
    • Klement, E.1    Navara, M.2
  • 26
    • 0000484760 scopus 로고
    • On fuzzy complements
    • Lowen R. On fuzzy complements. Inform. Sci. 14(2):1978;107-113.
    • (1978) Inform. Sci. , vol.14 , Issue.2 , pp. 107-113
    • Lowen, R.1
  • 28
    • 0022060286 scopus 로고
    • Solutions of composite fuzzy relational operations with triangular norms
    • Miyakoshi M., Shimbo M. Solutions of composite fuzzy relational operations with triangular norms. Fuzzy Sets and Systems. 16:1985;53-63.
    • (1985) Fuzzy Sets and Systems , vol.16 , pp. 53-63
    • Miyakoshi, M.1    Shimbo, M.2
  • 29
    • 0000272850 scopus 로고
    • Structure of fuzzy binary relations
    • Ovchinnikov S.V. Structure of fuzzy binary relations. Fuzzy sets and Systems. 6(2):1981;169-195.
    • (1981) Fuzzy Sets and Systems , vol.6 , Issue.2 , pp. 169-195
    • Ovchinnikov, S.V.1
  • 30
    • 0020719622 scopus 로고
    • General negations in fuzzy set theory
    • Ovchinnikov S.V. General negations in fuzzy set theory. J. Math. Anal. Appl. 92(1):1983;234-239.
    • (1983) J. Math. Anal. Appl. , vol.92 , Issue.1 , pp. 234-239
    • Ovchinnikov, S.V.1
  • 32
    • 0031139177 scopus 로고    scopus 로고
    • New triangular operator generators for fuzzy systems
    • Roychowdhury S. New triangular operator generators for fuzzy systems. IEEE Trans. Fuzzy Systems. 5(2):1997;189-198.
    • (1997) IEEE Trans. Fuzzy Systems , vol.5 , Issue.2 , pp. 189-198
    • Roychowdhury, S.1
  • 33
    • 38249005526 scopus 로고
    • Fuzzy implication operators and generalized fuzzy method of cases
    • Ruan D., Kerre E.E. 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
  • 36
    • 0001827541 scopus 로고
    • Fuzzification of set inclusion: Theory and applications
    • Sinha D., Dougherty E.R. Fuzzification of set inclusion. theory and applications Fuzzy Sets and Systems. 55:1993;15-42.
    • (1993) Fuzzy Sets and Systems , vol.55 , pp. 15-42
    • Sinha, D.1    Dougherty, E.R.2
  • 37
    • 0029409327 scopus 로고
    • A general axiomatic theory of intrinsically fuzzy mathematical morfologies
    • Sinha D., Dougherty E.R. A general axiomatic theory of intrinsically fuzzy mathematical morfologies. IEEE Trans. Fuzzy Systems. 4(3):1995;389-403.
    • (1995) IEEE Trans. Fuzzy Systems , vol.4 , Issue.3 , pp. 389-403
    • Sinha, D.1    Dougherty, E.R.2
  • 39
    • 0002284825 scopus 로고
    • Sobre funciones de negación en la teoría de conjuntos difusos
    • Trillas E. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica. III-1:1979;47-59.
    • (1979) Stochastica , vol.3 , Issue.1 , pp. 47-59
    • Trillas, E.1
  • 41
    • 0022194268 scopus 로고
    • On mode and implication in approximate reasoning
    • M.M. Gupta, A. Kandel, W. Bandler, & J.B. Kiszka (Eds.). Amsterdam: North-Holland
    • Trillas E., Valverde L. On mode and implication in approximate reasoning. Gupta M.M., Kandel A., Bandler W., Kiszka J.B. Approximate Reasoning in Expert Systems. 1985;157-166 North-Holland, Amsterdam.
    • (1985) Approximate Reasoning in Expert Systems , pp. 157-166
    • Trillas, E.1    Valverde, L.2
  • 42
    • 0030731802 scopus 로고    scopus 로고
    • A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mapping
    • Tsiporkova-Hristoskova E., De Baets B., Kerre E. A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mapping. Fuzzy Sets and Systems. 85:1997;93-108.
    • (1997) Fuzzy Sets and Systems , vol.85 , pp. 93-108
    • Tsiporkova-Hristoskova, E.1    De Baets, B.2    Kerre, E.3
  • 44
    • 0020831194 scopus 로고
    • A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
    • Weber S. A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms. Fuzzy sets and Systems. 11:1983;115-134.
    • (1983) Fuzzy Sets and Systems , vol.11 , pp. 115-134
    • Weber, S.1
  • 45
    • 0018668763 scopus 로고
    • On the measure of fuzziness and negation. Part I: Membership in the unit interval
    • Yager R.R. On the measure of fuzziness and negation. Part I. membership in the unit interval Internat. J. Gen. Systems. 5:1979;221-229.
    • (1979) Internat. J. Gen. Systems , vol.5 , pp. 221-229
    • Yager, R.R.1
  • 46
    • 0000327043 scopus 로고
    • On the measure of fuzziness and negation, Part II Lattices
    • Yager R.R. On the measure of fuzziness and negation, Part II Lattices. Inform. and Control. 44(3):1979;236-260.
    • (1979) Inform. and Control , vol.44 , Issue.3 , pp. 236-260
    • Yager, R.R.1
  • 47
    • 0002423960 scopus 로고    scopus 로고
    • On global requirements for implication operators in fuzzy modus ponens
    • Yager R.R. On global requirements for implication operators in fuzzy modus ponens. Fuzzy Sets and Systems. 106:1999;3-10.
    • (1999) Fuzzy Sets and Systems , vol.106 , pp. 3-10
    • Yager, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.