An algebraic analysis of similarity in monadic monoidal t-norm based predicate logic
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Abstract
In this paper, we introduce the notion of similarity monadic MTL-algebras and study some of their related basic algebraic properties. Then we introduce and investigate similarity monadic filters of similarity monadic MTL-algebras. In particular, by means of similarity monadic filters, we give some characterizations of representable similarity monadic MTL-algebras. Finally, we introduce the logic of similarity monadic MTL-algebras and prove the soundness and completeness of them.2010 MSC: 06D35, 06B99
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