Exact Solutions of Fuzzy Linear System Equations

Fuzzy Optimization and Modeling Journal

مقاله 4، دوره 4، شماره 1، تیر 2023، صفحه 37-43   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2023.1987431.1085

نویسندگان

Mohammad Adabitabar Firozja¹؛ Bahram Agheli^{* 2}

¹Department of mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

²Department of Mathematics, Qaemsahhr Branch, Islamic Azad University, Qaemshahr Branch

چکیده

Systems of simulations linear equations play major role in various areas such as mathematics, statistics, and social sciences. Since in many applications, at least some of the system’s parameters and measurements are represented by fuzzy rather than crisp numbers, therefore, it is important to develop mathematical models and numerical procedures that would appropriately treat general fuzzy linear systems and solve them. In this paper, a new method based on fuzzy operations approach for solving Fuzzy Linear System (FLS) is introduced. The related theorems are proved in details. Finally, the proposed method is illustrated by solving two numerical examples.

کلیدواژه‌ها

Fuzzy Number؛ Fuzzy Arithmetic؛ Fuzzy Linear System؛ Alpha-Cut