On a class of left-continuous t-norms

Fuzzy Sets and Systems

Volumn 131, Issue 3, 2002, Pages 283-296

  Cignoli, Roberto ^a   Esteva, Francesc ^b   Godo, Lluís ^b   Montagna, Franco ^c  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c UNIVERSITY OF SIENA   (Italy)

Author keywords

Fuzzy connectives; Left continuous t norms; Weak negations

Indexed keywords

EID: 0036837022     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(01)00215-9     Document Type: Article

References (15)

1. R. Cignoli F. Esteva L. Godo A. Torrens Basic fuzzy logic is the logic of continuous t -norms and their residua Soft Computing 4 2000 106 112
2. A.C. Climescu Sur l’équation fonctionelle de l'associativé Bull. École Polytechns Iassy 1 1946 1 16
3. F. Esteva X. Domingo Sobre negociaciones fuertes y debiles en [0,1] Stochastica IV 2 1980 141 166
4. F. Esteva L. Godo Monoidal t -norm based logic towards a logic for left-continuous t -norms Fuzzy Sets and Systems 124 2001 271 288
5. F. Esteva L. Godo P. Hájek M. Navara Residuated fuzzy logics with an involutive negation Arch. Math. Logic 39 2000 103 124
6. J. Fodor, Nilpotent minimum and related connectives for fuzzy logic, Proceedings of the FUZZ–IEEE’95, 1995, pp. 2077–2082.
7. P. Hájek Methamatematics of Fuzzy Logic 1998 Kluwer Dordrecht
8. P. Hájek Basic fuzzy logic and BL-algebras Soft Computing 2 1998 124 128
9. U. Höhle Commutative, residuated l-monoids U. Höhle E.P. Klement Non-Classical Logics and Their Applications to Fuzzy Subsets 1995 Kluwer Academic Publishers Dordrecht 53 106
10. S. Jenei New family of triangular norms via contrapositive symmetrization of residuated implications Fuzzy Sets and Systems 110 2000 157 174
11. S. Jenei, Structure of Girard monoids on [0, 1], in: S. Rodabaugh, E.P. Klement (Eds.), Topological and Algebraic Structures in Fuzzy Sets, Kluwer, Dordrecht, in press.
12. S. Jenei, F. Montagna, A proof of standard completeness for Esteva and Godo's logic MTL, Studia Logica, in press.
13. E.P. Klement R. Mesiar E. Pap Triangular Norms 2000 Kluwer Academic Publishers Dordrecht
14. P.S. Mostert A.L. Shields On the structure of semigroups on a compact manifold with boundary Ann. of Math. 65 1957 117 143
15. E. Trillas, Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica I(1) (1979) 47–60. (English translation in: S. Barro, A. Bugarin, A. Sobrino (Eds.), Advances in Fuzzy logic, Public. Univ. Santiago de Compostela, Spain, 1998, pp. 31–45).