On weakly cancellative fuzzy logics

Jump to: navigation, search
 Authors: Title: On weakly cancellative fuzzy logics Journal: Journal of Logic and Computation Volume 16 Number 4 Pages: 423-450 Year: 2006 Preprint

Abstract

Starting from a decomposition result of MTL-chains as ordinal sums, we focus our attention on a particular kind of indecomposable semihoops, namely weakly cancellative semihoops. Weak cancellation property is proved to be the difference between cancellation and pseudocomplementation, so it gives a new axiomatization of Product logic and $\Pi$MTL. By adding this property, some new fuzzy logics (propositional and first-order) are defined and studied obtaining some results about their (finite) strong standard completeness and other logical and algebraic properties.