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A method for solving fuzzy matrix equations
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DOI：10.1007/s00500-017-2680-x.png)
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Abstract
En 中文
There are many reported studies, in which researchers tried to solve a system of fuzzy linear equations numerically. In this paper, a numerical method for solving fuzzy system of matrix equations is investigated. As it can be observed in the form of these equations, the unknown matrix X, which is the solution to these equations, has a left-hand coefficient matrix A and a right-hand coefficient matrix B. Such character makes these equations different from other equations in the form of . In the aforesaid equations, A and B are crisp matrices and and are matrices with fuzzy arrays. In this work using the parametric form of fuzzy linear equations and presenting an algorithm, two systems of equations will be developed and solved afterward. A comparison of the number of multiplications in this method with a different one will be drawn afterward. Some numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords:
Fuzzy number
Fuzzy system
Fuzzy linear equations
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