The basic concept of the fuzzy matrix theory is very simple and can be applied to social and natural situations. A branch of fuzzy matrix theory uses algorithms and algebra to analyse data. It is used by social scientists to analyse interactions between actors and can be used to complement analyses carried out using game theory or other analytical tools. The concepts of fuzzy matrix have been d...

In this article, we introduce ST decomposition procedure to solve fully fuzzy linear systems. This paper mainly to discuss a decomposition of non singular fuzzy matrix, Symmetric times triangular(ST) decomposition. Every non singular fuzzy matrix can be represented as a product of symmetric matrix S and triangular matrix T in the form of trapezoidal fuzzy number matrices. By this method, we obt...

This paper is concerned with the existence, uniqueness and asymptotic behavior of the positive solutions of a fuzzy Logistic difference equation xn+1 = A+Bxn−1e −xn , n = 0, 1, · · · , where (xn) is a sequence of positive fuzzy number, A,B are positive fuzzy numbers and the initial conditions x−1, x0 are positive fuzzy numbers. Moreover an illustrative example is given to demonstrate the effect...

The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance m...

The purpose of this paper is to study matrix hemiring $S_{2}$ via fuzzy subsets and fuzzy $h$-ideals.

In this paper, we propose a fuzzy model-based methodology to deal with various control objectives for discrete-time chaotic systems from a unified viewpoint. With intent to unify the design process, we introduce a new design concept called virtual-desired-variable synthesis. Then, both the chaotic control and chaotification are eventually treated as a stabilization problem. Consequently, the co...

In this paper, we consider the system of linear equations Ax̃ = b̃, where A ∈ Rn×n is a crisp H-matrix and b̃ is a fuzzy n-vector. We then investigate the existence and uniqueness of a fuzzy solution to this system. The results can also be used for the class of M-matrices and strictly diagonally dominant matrices. Finally, some numerical examples are given to illustrate the presented theoretical r...

In this paper, it is shown that for a system of intuitionistic fuzzy linear equations of the form b x A = ⊗ is said to be solvable if, for a definite solution ) ; ( b A x , b b A x A = ) ; ( ⊗ holds, otherwise unsolvable. In general b b A x A ≤ ⊗ ) ; ( holds always, so taking a tolerable solution of an unsolvable system, keeping right hand side of the system constant, modification of the left h...

the purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concept of solutions for matrix games with payoffs of tifns is introduced. a pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies...