REPRESENTATION THEOREMS FOR FUZZY CONCEPTS

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.