As the same framework of Fuzzy decision processes with the discounted case we will specify an average fuzzy criterion model and develop its optimization by “fuzzy max order” under appropriate conditions. The average reward is characterized, by introducing a relative value function, as a unique solution of the associated equation. Also we derive the optimality equation using the “vanishing disco...

In this paper we introduce an algebraic fuzzy equation of degree n with fuzzy coefficients and crisp variable, and we present an iterative method to find the real roots of such equations, numerically. We present an algorithm to generate a sequence that can be converged to the root of an algebraic fuzzy equation. 2007 Elsevier Inc. All rights reserved. MSC: 12E12; 39B22; 65H05

This paper proposes a novel approach for integrating estimations from multiple agents. The approach is based on the fuzzy set theory. However, compared to existing fuzzy logical methods that use fuzzy if-then rules, this method is based on solving an over-determined fuzzy equation system. The result is either a global inconsistency message or the consistent core of the equation system. We demon...

We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers–Ulam–Rassias stability of the quadratic functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y). Our result can be regarded as a generalization of the stability phenomenon in the framework of normed spaces. We also prove a generalized version of fuzzy stability o...

Fuzzy sets theory has several applications in biomedicine. The dissimilarity of fuzzy sets is used for this purpose. In this paper, we present the generalized equation of the dissimilarity of fuzzy sets. This relation is based on the set theoretic point of view. The parameter of this generalized equation and also its relation to a recently introduced metric defined in fuzzy hypercube are discus...

This paper proposes a new method of face image feature extraction, namely, the fuzzy 2DFLD (F2DFLD) based on the 2D fisher discriminant criterion and fuzzy set theory. In the proposed method, we calculate membership degree matrix by FKNN, then we incorporate the membership degree into the definition of the between-class scatter matrix and within-class scatter matrix and get the fuzzy between-cl...

Recently, the intuitionistic fuzzy stability of Jensen-type functional equation was proved. In this note, we show the intuitionistic fuzzy stability of the Jensen-type functional equation by using the fixed point alternative.

Real eigenvectors of real matrix is extended to fuzzy eigenvectors. The structure of fuzzy eigenspaces and relationships between real eigenspaces and fuzzy eigenspaces of real matrix are studied. Using fuzzy eigenvector, we give a sufficient condition to existence of solution of fuzzy linear systems.

in this work, we proposed an efective method based on cubic and pantic b-spline scaling functions to solve partial differential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

In this paper, we present a solution of an arbitrary general fully fuzzy linear systems (FFLS) in the form Ã⊗ x̃ = b̃. Where coefficient matrix à is anm×n fuzzy matrix and all of this system are elements of LR type fuzzy numbers. Our method discuss a general FFLS (square or rectangle fully fuzzy linear systems with trapezoidal or triangular LR fuzzy numbers). To do this, we transform fully fuzzy ...