Solving Fuzzy Linear System of Equations

Subject Areas : Applied Mathematics

Mohammad Izadikhah ^{1 *} , Alexander Graham Zikller ²

1 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
2 - Department of Mathematics, University of Mannheim, Baden-Württemberg, Germany

Received: 2022-02-05 Accepted : 2022-03-23 Published : 2021-12-01

Keywords: Linear system, Nearest Approximation, fuzzy data,

Abstract :

Many real problems may often be reduced to solving a system of linear equations. However, in such real-world problems, the existence of uncertainties, like a fuzzy environment, is inevitable. Thus, the main aim of this paper is to propose a solving approach for a fuzzy linear system of equalities. The presented approach is based on the nearest weighted approximation of fuzzy numbers. Two numerical examples illustrate the capabilities of the proposed approach.

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