The purpose of this note is to obtain some properties of (∈,∈ ∨q)fuzzy bi-ideals in a Γ-semigroup in order to characterize regular and intra-regular Γ-semigroups. Keywords—Regular Γ-semigroup, belong to or quasi-coincident, (∈,∈ ∨q)-fuzzy subsemigroup, (∈,∈ ∨q)-fuzzy bi-ideals.

We generalize the concept of fuzzy point, intutionistic fuzzy point, cubic point by introducing the concept of neutrosophic cubic point. Based on neutrosophic cubic point we generalized the idea of ( ; )-fuzzy ideals, ( ; )-intutionistic fuzzy ideals, ( ; )-cubic ideals ideals by initiating the new concept of neutrosophic Cubic ( ; )-ideals. Particularly we give the idea of neutrosophic cubic (...

We first give some useful characterizations of regular semigroups and right weakly regular semigroups by the properties of their bi-ideals, interior ideals, left ideals and right ideals. Based on these characterizations, we also characterize regular semigroups and right weakly regular semigroups by the properties of their (∈,∈ ∨qk)-fuzzy (generalized) bi-ideals, (∈,∈ ∨qk)-fuzzy interior ideals,...

In this paper, a modified TOPSIS (techniques for order preference by similarity to ideal solution) approach for solving bi-level multi-objective programming (BL-MOP) problems with fuzzy parameters is presented. These fuzzy parameters are assumed to be characterized by fuzzy numerical data, reflecting the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem fo...

Fuzzy semigroup theory concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. In this paper, we introduce the concept of an ( , )-fuzzy filter of an ordered semigroup , where , , , , with . Since the concept of ( , )-fuzzy filter is an important and useful generalization of ordinary fuzzy filter,...

in a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. indeed, the notion of ternary semihyperringsis a generalization of semirings. our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.we give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.

notions of strongly regular, regular and left(right) regular $gamma$−semigroupsare introduced. equivalent conditions are obtained through fuzzy notion for a$gamma$−semigroup to be either strongly regular or regular or left regular.

in this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. we also introduce the intuitionistic fuzzy(if) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to max...

In this paper, we study I-fuzzy bi-matrix games with I-fuzzy goals. The indeterminacy factor in the I-fuzzy goal of each player is resolved using the Hurwicz optimism-pessimism rule. As a result, such an I-fuzzy bi-matrix game reduces to solving a fuzzy optimization problem with S-shaped membership functions. The latter problem is equivalently converted into its crisp counterpart using the conv...