REPRESENTATION THEOREMS FOR FUZZY CONCEPTS

Abstract

In this paper representation theorems are given for L-sets. In a particular case, by choosing a suitable L, fuzzy sets and flou sets are obtained and the connection of these concepts with the continuous logic and n-valued logics is shown. Representation theorems of the same type are given for L-topological subspaces and L-algebraic substructures. The possibility of generalizing these results is taken into consideration.