Article ID Journal Published Year Pages File Type
390734 Fuzzy Sets and Systems 2008 13 Pages PDF
Abstract

In this paper we present the representation theorems for three classes of algebras based on residuated, not necessarily distributive lattices. These structures are algebras of weak fuzzy logics, which are the bottom part of the hierarchy of fuzzy logics proposed by Esteva and Godo. Our results are based on the methodology proposed by Urquhart and Allwein and Dunn. The representation algebras provide a Kripke–style semantics for the respective fuzzy logics.

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Physical Sciences and Engineering Computer Science Artificial Intelligence