On copulas, quasicopulas and fuzzy logic

Authors:
Petr Hájek;Radko Mesiar
Affiliations:
Acad. of Sciences of the Czech Republic, Inst. of Computer Science, Pod vodárenskou věží 2, 182 07, Prague, Czech Republic;Slovak Univ. of technology, Dept. of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Pod vodárenskou věží 2, 81368, Bratislava, Slovakia and IRAFM U ...
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue (1143 - 1198) " Distributed Bioinspired Algorithms"; Guest editors: F. Fernández de Vega, E. Cantú-Paz
Year:
2008

Citing 0
Cited 12

Supermigrative semi-copulas and triangular norms

Information Sciences: an International Journal
Preface: Editorial to the special issue devoted to "Copulas, measures and integrals"

Information Sciences: an International Journal
A survey of weak connectives and the preservation of their properties by aggregations

Fuzzy Sets and Systems
Semi-copulas, capacities and families of level sets

Fuzzy Sets and Systems
Quasi-copulas and signed measures

Fuzzy Sets and Systems
Lipschitzian De Morgan triplets of fuzzy connectives

Information Sciences: an International Journal
Bivariate quasi-copulas and doubly stochastic signed measures

Fuzzy Sets and Systems
On good EQ-algebras

Fuzzy Sets and Systems
States on commutative basic algebras

Fuzzy Sets and Systems
On distance distribution functions-valued submeasures related to aggregation functions

Fuzzy Sets and Systems
Extension of fuzzy logic operators defined on bounded lattices via retractions

Computers & Mathematics with Applications
On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

We investigate (quasi)copulas as possible truth functions of fuzzy conjunction which is not necessarily associative and present some axiom systems for such fuzzy logics. In particular, we study an expansion of Łukasiewicz (infinite valued propositional) logic by a new connective interpreted as an arbitrary quasicopula (and also by a new connective interpreted as the residuum of the copula). Main results concern standard completeness.