This paper presents a five-valued representation of bifuzzy sets. This representation is related to a five-valued logic that uses the following values: true, false, inconsistent, incomplete and ambiguous. In the framework of fivevalued representation, formulae for similarity, entropy and syntropy of bifuzzy sets are constructed.

In this research we concentrate on developing a bifuzzy model for a Single-period inventory problem. The conventional studies have focused on the cases that the demands are probabilistic and follow certain distribution function; or the demands are considered as fuzzy variables; or the demands is expressed by random fuzzy variable. Recently, fuzzy random variables have been applied to some decis...

This paper proposes an equilibrium computation method using linguistic variables based on the conflicting bifuzzy sets. The linguistic terms were defined and associated with the triangular fuzzy number as well as labeling system in the early stages. Then, the negation operator was introduced and the bifuzzy approaches were employed to derive the aggregation equilibrium linguistic judgement for ...

As a natural extension of the fuzzy variable, bifuzzy variable is defined as mapping from credibility space to collection variables, which an appropriate tool model two-fold phenomena. In order enrich its theoretical foundation, this paper explores some important measures for regular most commonly used type variables. Firstly, we introduce variables’ mean chance measure and properties, includin...