메뉴 건너뛰기




Volumn 6113 LNAI, Issue PART 1, 2010, Pages 3-10

On the distributivity of fuzzy implications over continuous Archimedean triangular norms

Author keywords

Combs Methods; Distributivity Equations; Fuzzy connectives; Fuzzy implication; T norm

Indexed keywords

APPROXIMATE REASONING; ARCHIMEDEAN T-NORMS; DISTRIBUTIVE EQUATIONS; DISTRIBUTIVITY; FUNCTIONAL EQUATION; FUZZY CONNECTIVES; FUZZY IMPLICATIONS; OPEN PROBLEMS; PRACTICAL PROBLEMS; T - NORM; T-CONORMS; TRIANGULAR NORMS;

EID: 77955392840     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-13208-7_1     Document Type: Conference Paper
Times cited : (5)

References (21)
  • 3
    • 77949487315 scopus 로고    scopus 로고
    • On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms
    • Baczyński, M.: On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms. Fuzzy Sets and Systems 161, 1406-1419 (2010)
    • (2010) Fuzzy Sets and Systems , vol.161 , pp. 1406-1419
    • Baczyński, M.1
  • 4
    • 34249730583 scopus 로고    scopus 로고
    • On the characterizations of (S,N)-implications
    • Baczyński, M., Jayaram, B.: On the characterizations of (S,N)-implications. Fuzzy Sets and Systems 158, 1713-1727 (2007)
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 1713-1727
    • Baczyński, M.1    Jayaram, B.2
  • 5
    • 67149143364 scopus 로고    scopus 로고
    • On the distributivity of fuzzy implications over nilpotent or strict triangular conorms
    • Baczyński, M., Jayaram, B.: On the distributivity of fuzzy implications over nilpotent or strict triangular conorms. IEEE Trans. Fuzzy Syst. 17, 590-603 (2009)
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , pp. 590-603
    • Baczyński, M.1    Jayaram, B.2
  • 6
    • 31444435391 scopus 로고    scopus 로고
    • Monotonic fuzzy implication
    • Szczepaniak, P.S., Lisboa, P.J.G., Kacprzyk, J. (eds.) Physica-Verlag, Heidelberg
    • Baczyński, M., Drewniak, J.: Monotonic fuzzy implication. In: Szczepaniak, P.S., Lisboa, P.J.G., Kacprzyk, J. (eds.) Fuzzy Systems in Medicine. Studies in Fuzzines and Soft Computing, vol. 41, pp. 90-111. Physica-Verlag, Heidelberg (2000)
    • (2000) Fuzzy Systems in Medicine. Studies in Fuzzines and Soft Computing , vol.41 , pp. 90-111
    • Baczyński, M.1    Drewniak, J.2
  • 8
    • 1942436731 scopus 로고    scopus 로고
    • On the distributivity of implication operators over T- and S-norms
    • Balasubramaniam, J., Rao, C.J.M.: On the distributivity of implication operators over T- and S-norms. IEEE Trans. Fuzzy Syst. 12, 194-198 (2004)
    • (2004) IEEE Trans. Fuzzy Syst. , vol.12 , pp. 194-198
    • Balasubramaniam, J.1    Rao, C.J.M.2
  • 9
    • 33750710399 scopus 로고    scopus 로고
    • Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images
    • Bustince, H., Pagola, M., Barrenechea, E.: Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images. Inform. Sci. 177, 906-929 (2007)
    • (2007) Inform. Sci. , vol.177 , pp. 906-929
    • Bustince, H.1    Pagola, M.2    Barrenechea, E.3
  • 10
    • 0031999494 scopus 로고    scopus 로고
    • Combinatorial rule explosion eliminated by a fuzzy rule configuration
    • Combs, W.E., Andrews, J.E.: Combinatorial rule explosion eliminated by a fuzzy rule configuration. IEEE Trans. Fuzzy Syst. 6, 1-11 (1998)
    • (1998) IEEE Trans. Fuzzy Syst. , vol.6 , pp. 1-11
    • Combs, W.E.1    Andrews, J.E.2
  • 12
    • 0001529870 scopus 로고
    • The fundamentals of fuzzy mathematical morphology, Part 1: Basic concepts
    • De Baets, B., Kerre, E., Gupta, M.: The fundamentals of fuzzy mathematical morphology, Part 1: Basic concepts. Int. J. Gen. Syst. 23, 155-171 (1994)
    • (1994) Int. J. Gen. Syst. , vol.23 , pp. 155-171
    • De Baets, B.1    Kerre, E.2    Gupta, M.3
  • 13
    • 0032595162 scopus 로고    scopus 로고
    • Comments on Combinatorial rule explosion eliminated by a fuzzy rule configuration
    • Dick, S., Kandel, A.: Comments on Combinatorial rule explosion eliminated by a fuzzy rule configuration. IEEE Trans. Fuzzy Syst. 7, 475-477 (1999)
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , pp. 475-477
    • Dick, S.1    Kandel, A.2
  • 16
    • 85008043300 scopus 로고    scopus 로고
    • Comments on Combinatorial rule explosion eliminated by a fuzzy rule configuration
    • Mendel, J.M., Liang, Q.: Comments on Combinatorial rule explosion eliminated by a fuzzy rule configuration. IEEE Trans. Fuzzy Syst. 7, 369-371 (1999)
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , pp. 369-371
    • Mendel, J.M.1    Liang, Q.2
  • 17
    • 33750723879 scopus 로고    scopus 로고
    • Distributivity of strong implications over conjunctive and disjunctive uninorms
    • Ruiz-Aguilera, D., Torrens, J.: Distributivity of strong implications over conjunctive and disjunctive uninorms. Kybernetika 42, 319-336 (2005)
    • (2005) Kybernetika , vol.42 , pp. 319-336
    • Ruiz-Aguilera, D.1    Torrens, J.2
  • 18
    • 33750693042 scopus 로고    scopus 로고
    • Distributivity of residual implications over conjunctive and disjunctive uninorms
    • DOI 10.1016/j.fss.2006.08.008, PII S0165011406003447
    • Ruiz-Aguilera, D., Torrens, J.: Distributivity of residual implications over conjunctive and disjunctive uninorms. Fuzzy Sets and Systems 158, 23-37 (2007) (Pubitemid 44709769)
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.1 , pp. 23-37
    • Ruiz-Aguilera, D.1    Torrens, J.2
  • 20
    • 0036475086 scopus 로고    scopus 로고
    • On the law [p ∧ q → r] = [(p → r) ∨ (q → r)] in fuzzy logic
    • Trillas E., Alsina C.: On the law [p ∧ q → r] = [(p → r) ∨ (q → r)] in fuzzy logic. IEEE Trans. Fuzzy Syst. 10, 84-88 (2002)
    • (2002) IEEE Trans. Fuzzy Syst. , vol.10 , pp. 84-88
    • Trillas, E.1    Alsina, C.2
  • 21
    • 9544251409 scopus 로고    scopus 로고
    • On some new classes of implication operators and their role in approximate reasoning
    • Yager, R.R.: On some new classes of implication operators and their role in approximate reasoning. Inform. Sci. 167, 193-216 (2004)
    • (2004) Inform. Sci. , vol.167 , pp. 193-216
    • Yager, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.