|Title||On weakly cancellative fuzzy logics|
|Publication Type||Journal Article|
|Year of Publication||2006|
|Authors||Montagna F, Noguera C, Horcík R|
|Journal||Journal of Logic and Computation|
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 PiMTL. 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.
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