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- Title
On copulas, quasicopulas and fuzzy logic.
- Authors
Petr Hájek
- Abstract
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.
- Subjects
COPULA functions; DISTRIBUTION (Probability theory); FUZZY logic; MATHEMATICAL logic; AXIOMS
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2008, Vol 12, Issue 12, p1239
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-008-0286-z