On Weakly Cancellative Fuzzy Logics
نویسندگان
چکیده
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 ΠMTL. 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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عنوان ژورنال:
- J. Log. Comput.
دوره 16 شماره
صفحات -
تاریخ انتشار 2006