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Volumn 180, Issue 12, 2010, Pages 2487-2497

Solutions to the functional equation I (x, y) = I (x, I (x, y)) for a continuous D-operation

Author keywords

D implications; D operations; Iterative Boolean like laws; Strong negations; T conorms; T norms

Indexed keywords

CONTINUOUS T-NORMS; FUNCTIONAL EQUATION; FUZZY IMPLICATIONS; STRONG NEGATIONS; T - NORM; T-CONORMS;

EID: 77950057249     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2010.01.023     Document Type: Article
Times cited : (16)

References (13)
  • 2
    • 2942618777 scopus 로고    scopus 로고
    • Residual implications revisited. Notes on the Smets-Magrez theorem
    • Baczyński M. Residual implications revisited. Notes on the Smets-Magrez theorem. Fuzzy sets and systems 145 (2004) 267-277
    • (2004) Fuzzy sets and systems , vol.145 , pp. 267-277
    • Baczyński, M.1
  • 4
    • 0037369062 scopus 로고    scopus 로고
    • Automorphisms, negations and implication operations
    • Bustince H., Burillo P., and Soria F. Automorphisms, negations and implication operations. Fuzzy sets and systems 134 (2003) 209-229
    • (2003) Fuzzy sets and systems , vol.134 , pp. 209-229
    • Bustince, H.1    Burillo, P.2    Soria, F.3
  • 8
    • 33847778398 scopus 로고    scopus 로고
    • QL-implications versus D-implications
    • Mas M., Monserrat M., and Torrens J. QL-implications versus D-implications. Kybernetika 42 (2006) 351-366
    • (2006) Kybernetika , vol.42 , pp. 351-366
    • Mas, M.1    Monserrat, M.2    Torrens, J.3
  • 9
    • 38249005526 scopus 로고
    • Fuzzy implication operators and generalized fuzzy method of cases
    • Ruan D., and 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
  • 10
    • 34247543017 scopus 로고    scopus 로고
    • On the characterization of fuzzy implications satisfying I(x,y) = I(x,I(x,y))
    • Shi Y., Ruan D., and Kerre E.E. On the characterization of fuzzy implications satisfying I(x,y) = I(x,I(x,y)). Information Sciences 177 (2007) 2954-2970
    • (2007) Information Sciences , vol.177 , pp. 2954-2970
    • Shi, Y.1    Ruan, D.2    Kerre, E.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.