Fuzzy Logics and Sub-structural Logics without Exchange
نویسندگان
چکیده
This report treats the relation between substructural logics and fuzzy logics, especially focuses on the noncommutativity of conjunctive operators i.e. substructural logics without the exchange rule. As the results, the authors show that fuzzy logics based on the left continuous pseudo-t-norms are the extensions of FLw. Also, we introduce the definition of pseudouninorms and give some methods to construct them, and show that such functions realize the fuzzy logical systems as the extensions of FLc and FL, which is the weakest substructural logic.
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