The aim of this paper is to develop a methodology for solving matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers (TrIFNs). In this methodology, the concepts of TrIFNs and solutions for matrix games with payoffs of TrIFNs are defined. Two new auxiliary intuitionistic fuzzy nonlinear programming models are hereby constructed to solve matrix games with payoffs of TrIFNs. Using a...

concept of subalgebras and ideals in BG-algebras, and investigate some of their properties.

In this paper, the concepts of intuitionistic fuzzy α-translation (IFAT), α-multiplication (IFAM), and magnified βα-translation (IFMBAT) are introduced in setup PS-algebra. Some properties PS-ideal PS-subalgebra investigated by applying IFAT, IFAM, IFMBAT. Intersection union PS-ideals explained through results examples.

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...

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 note, by considering the notions of the intuitionistic general l-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{l}$, there exists a minimal intuitionistic general l-fuzzy automaton recognizing $mathcal{l}$.we prove that the minimal intuitionistic general l-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...

We introduce the notions of anti fuzzy right ideal, anti fuzzy right k-ideal and intuitionistic fuzzy right k-ideal of semirings. We investigate the their properties and connections with right k-ideal, fuzzy right k-ideal, anti fuzzy right k-ideal. We characterize regular semiring through intuitionistic fuzzy right ideal. The semi regularity of semirings is characterized by intuitionistic fuzzy...

In this paper, the concept of an (∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring, which is a generalization of the concept of an(∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring.. Also, we study some of their basic properties. Mathematics subject classification: 08A72 • 03F55 • 20M12

in this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. afterwards, the a...