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Volumn 149, Issue 2, 2005, Pages 309-347

The algebra of fuzzy truth values

Author keywords

Algebras; Convex functions; Convolutions; De Morgan algebras; Kleene algebras; Normal functions; Type 2 fuzzy sets; Type 2 t norms

Indexed keywords

ALGEBRA; BIBLIOGRAPHIES; CONVOLUTION; FUNCTIONS; LINEAR SYSTEMS; MAPPING;

EID: 9644254170     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2003.12.003     Document Type: Article
Times cited : (146)

References (24)
  • 1
    • 0036498109 scopus 로고    scopus 로고
    • A simple computation of MIN and MAX operations for fuzzy numbers
    • C.-H. Chiu, W.-J. Wang, A simple computation of MIN and MAX operations for fuzzy numbers, Fuzzy Sets and Systems 126 (2) (2002) 273-276.
    • (2002) Fuzzy Sets and Systems , vol.126 , Issue.2 , pp. 273-276
    • Chiu, C.-H.1    Wang, W.-J.2
  • 2
    • 0001724061 scopus 로고
    • Operations in a fuzzy-valued logic
    • D. Dubois, H. Prade, Operations in a fuzzy-valued logic, Inform. Control 43 (2) (1979) 224-240.
    • (1979) Inform. Control , vol.43 , Issue.2 , pp. 224-240
    • Dubois, D.1    Prade, H.2
  • 3
    • 0141599056 scopus 로고
    • Twofold fuzzy sets: An approach to the representation of sets with fuzzy boundaries based on possibility and necessity measures
    • D. Dubois, H. Prade, Twofold fuzzy sets: an approach to the representation of sets with fuzzy boundaries based on possibility and necessity measures, Fuzzy Math. (Huazhong, China) 3 (4) (1983) 53-76.
    • (1983) Fuzzy Math. (Huazhong, China) , vol.3 , Issue.4 , pp. 53-76
    • Dubois, D.1    Prade, H.2
  • 5
    • 0347751123 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for fuzzy truth values to form a De Morgan algebra
    • M. Emoto, M. Mukaidono, Necessary and sufficient conditions for fuzzy truth values to form a De Morgan algebra, Internat. J. Uncertainty Fuzziness Knowledge-Based Systems 7 (4) (1999) 309-318.
    • (1999) Internat. J. Uncertainty Fuzziness Knowledge-based Systems , vol.7 , Issue.4 , pp. 309-318
    • Emoto, M.1    Mukaidono, M.2
  • 6
    • 9644284988 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for fuzzy truth values to satisfy the distributive laws
    • Liu, Chen, Ying, Cai, (Eds.), Beijing, China, March 1-4
    • M. Emoto, M. Mukaidono, Necessary and sufficient conditions for fuzzy truth values to satisfy the distributive laws, in: Liu, Chen, Ying, Cai, (Eds.), Proc. Internat. Conf. Fuzzy Information Processing, Beijing, China, March 1-4, 2003, pp. 159-164.
    • (2003) Proc. Internat. Conf. Fuzzy Information Processing , pp. 159-164
    • Emoto, M.1    Mukaidono, M.2
  • 12
    • 0035885559 scopus 로고    scopus 로고
    • Operations on type-2 fuzzy sets
    • N. Karnik, J. Mendel, Operations on type-2 fuzzy sets, Fuzzy Sets and Systems 122 (2001) 327-348.
    • (2001) Fuzzy Sets and Systems , vol.122 , pp. 327-348
    • Karnik, N.1    Mendel, J.2
  • 13
    • 0004128728 scopus 로고    scopus 로고
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • P. Klement, R. Mesiar, E. Pap, Triangular Norms, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000.
    • (2000) Triangular Norms
    • Klement, P.1    Mesiar, R.2    Pap, E.3
  • 15
    • 0036530350 scopus 로고    scopus 로고
    • Type-2 fuzzy sets made simple
    • J. Mendel, R. John, Type-2 fuzzy sets made simple, IEEE Trans. Fuzzy Systems 10 (2) (2002) 117-127.
    • (2002) IEEE Trans. Fuzzy Systems , vol.10 , Issue.2 , pp. 117-127
    • Mendel, J.1    John, R.2
  • 16
    • 0001296806 scopus 로고
    • Some properties of fuzzy sets of type-2
    • M. Mizumoto, K. Tanaka, Some properties of fuzzy sets of type-2, Inform. Control 31 (1976) 312-340.
    • (1976) Inform. Control , vol.31 , pp. 312-340
    • Mizumoto, M.1    Tanaka, K.2
  • 17
    • 0001562060 scopus 로고
    • Fuzzy sets of type-2 under algebraic product and algebraic sum
    • M. Mizumoto, K. Tanaka, Fuzzy sets of type-2 under algebraic product and algebraic sum, Fuzzy Sets and Systems 5 (1981) 277-290.
    • (1981) Fuzzy Sets and Systems , vol.5 , pp. 277-290
    • Mizumoto, M.1    Tanaka, K.2
  • 18
    • 0010023738 scopus 로고
    • Algebraic structures of truth values in fuzzy logic
    • Fuzzy Logic and Fuzzy Control, Springer, Berlin
    • M. Mukaidono, Algebraic structures of truth values in fuzzy logic, Fuzzy Logic and Fuzzy Control, Lecture Notes in Artificial Intelligence, Vol. 833, Springer, Berlin, 1994, pp. 15-21.
    • (1994) Lecture Notes in Artificial Intelligence , vol.833 , pp. 15-21
    • Mukaidono, M.1
  • 20
    • 0003315649 scopus 로고
    • On the algebraic structure of fuzzy sets of type 2
    • J. Nieminen, On the algebraic structure of fuzzy sets of type 2, Kybernetika 13 (1977) 261-273.
    • (1977) Kybernetika , vol.13 , pp. 261-273
    • Nieminen, J.1
  • 23
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning
    • L. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Inform Sci. 8 (1975) 199-249.
    • (1975) Inform Sci. , vol.8 , pp. 199-249
    • Zadeh, L.1
  • 24
    • 9644273155 scopus 로고
    • Yes, no and relatively
    • (1987) 406-410
    • L.A. Zadeh, Yes, no and relatively, Chemtech (1987) 340-344, and (1987) 406-410.
    • (1987) Chemtech , pp. 340-344
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.