In this paper, we compare different ways of representing operations on interval-valued fuzzy sets by corresponding operations on fuzzy sets.

Representability in Interval-Valued Fuzzy Set Theory 347 parallel and independent applications of classical fuzzy set concepts? We believe not. Incidentally ...

Interval-valued fuzzy set theory is an increasingly popular extension of fuzzy set theory where traditional [0, 1]-valued membership degrees are replaced by ...

Interval valued fuzzy sets are proposed for the representation of combined concepts based on normal forms where linguistic connectives as well as variables ...

Jan 28, 2008 · Our approach reveals, amongst others, that subtle differences in the representation method can have a major impact on the properties satisfied by ...

For the sake of mathematical and computational simplicity, we employ representable conjunctions of interval-valued fuzzy set theory to define interval-valued ...

Interval-valued fuzzy sets are used to represent multiple antecedent S-implications based on normal forms where linguistic connectives, antecedents, ...

This paper is concerned with the basics of a theory for such interval-valued fuzzy sets, namely mappings of a set S into the set of intervals of [0,1].

This paper focuses on interpretations of such ex- tensions of fuzzy sets, whereby the two member- ship functions that define them can be justified in the scope ...

In fuzzy logic, t-norms which satisfy the residuation principle play an important role. Using our representation theorem, we represent t-norms on L^I which ...