Authors:
Mohammad Ali Fariborzi Araghi
and
Hassan Fattahi
Affiliation:
Islamic Azad University, Iran, Islamic Republic of
Keyword(s):
Iterative methods, Fuzzy Linear Systems (FLS), Stochastic arithmetic, CESTAC method, CADNA library, Hausdorff distance, Fuzzy number.
distance, fuzzy number.
Related
Ontology
Subjects/Areas/Topics:
Artificial Intelligence
;
Computational Intelligence
;
Fuzzy Systems
;
Fuzzy Systems Design, Modeling and Control
;
Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic
;
Soft Computing
Abstract:
In this paper, a fuzzy linear system with crisp coefficient matrix is considered in order to solve in the stochastic arithmetic. The fuzzy CESTAC method is applied in order to validate the computed results. The Gauss-Seidel and Jacobi iterative methods are used for solving a given fuzzy linear system. In order to implement the proposed algorithm, the CADNA library is applied to find the optimal number of iterations. Finally, two numerical examples are solved based on the given algorithm in the stochastic arithmetic.