Exact Solutions of Fuzzy Linear System Equations
Subject Areas : Fuzzy Optimization and Modeling JournalMohammad Adabitabar Firozja 1 , Bahram Agheli 2 *
1 - Department of mathematics, Qaemshahr Branch, Islamic Azad University,
Qaemshahr, Iran
2 - Department of Mathematics, Qaemsahhr Branch, Islamic Azad University, Qaemshahr Branch
Keywords: Fuzzy linear system, fuzzy number, fuzzy arithmetic, alpha-cut,
Abstract :
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.