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A generalization of the representation theorem

Fuzzy Sets and SystemsPublished 1 November 1992
Dan A. Ralescu
Citations48
SJR quartileQ1
SJR score0.75
SNIP1.25

TL;DR

The representation theorem for fuzzy sets is generalized and necessary and sufficient conditions for a family of sets to represent a “permutation” of the levels of some fuzzy set are given.

Abstract

We generalize the representation theorem for fuzzy sets. More specifically, we give necessary and sufficient conditions for a family of sets to represent a "permutation" of the levels of some fuzzy set.

Keywords

Computer ScienceDecision SciencesMathematics