the purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. this is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

The purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. This is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

In this paper we introduce the notion of bifuzzy ideals of K-algebras and investigate some interesting properties. Then we study the homomorphisms between the ideals of K-algebras and their relationship between the domains and the co-domains of the bifuzzy ideals under these homomorphisms. Finally the Cartesian product of bifuzzy ideals is discussed. Key–Words: Bifuzzy ideals; Characteristic; E...

In this paper, based on bifuzzy theory, we study the multiobjective programming problem under bifuzzy environment and present the expected value model to the problem. Furthermore, to the proposed model, the concepts of non-inferior solution are defined, and their relations are also discussed. According to practical decision-making process, a solution method, called the method of main objective ...

We introduce the concept of (γ, δ)-bifuzzy Lie subalgebra, where γ, δ are any two of {∈, q, ∈∨q, ∈∧q} with γ ≠ ∈∧q, by using belongs to relation (∈) and quasi-coincidence with relation (q) between bifuzzy points and bifuzzy sets and discuss some of its properties. Then we introduce bifuzzy soft Lie subalgebras and investigate some of their properties.

In this paper, we concentrate on discussing the inventory problem under bifuzzy environment and develop a class of multi-objective inventory model with bifuzzy coefficients. We give the bifuzzy transform operarion and prove the method of solving satisfied solution of multi-objective inventory model. These are applied to a practical inventory problem in which all inventory costs, purchasing and ...

A fuzzy variable is a function from a possibility space to the set of real numbers, while a bifuzzy variable is a function from a possibility space to the set of fuzzy variables. In this paper, a concept of chance distribution is originally presented for bifuzzy variable, and the linearity of expected value operator of bifuzzy variable is proved. Furthermore, bifuzzy simulations are suggested a...

In order to solve the portfolio problem when security returns are bifuzzy variables, firstly we propose a new definition of risk, then one type of portfolio selection based on expected value and risk is provided according to bifuzzy theory. Furthermore, a hybrid intelligent algorithm by integrating bifuzzy simulation and genetic algorithm is designed. Finally, one numerical experiment is provid...

Compact fuzzy topological spaces were first introduced by Chang [3]. o-compact fuzzy topological spaces were introduced by Gantner et al. [4]. Abd El-Monsef et al. [1] introduced the notion of e-aimost compact fuzzy topological spaces. Mashhour et al. [8] introduced the notion of bifuzzy topological spaces and defined the notion of o-compactness in those spaces. In this paper, we obtain some ne...

Fuzzy sets theory affirmed that the linguistic value for every contraries relation is complementary. It was stressed in the intuitionistic fuzzy sets (IFS) that the conditions for contraries relations, which are the fuzzy values, cannot be greater than one. However, complementary in two contradict phenomena are not always true. This paper proposes a new idea condition for conflicting bifuzzy se...