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Journal Paper

A Method for Solving Fuzzy Matrix Equations

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Soft Computing, Vol. 22 (2018) 2095–2103.

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 AXB=C 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 AX=B. In the aforesaid equations, A and B are crisp matrices and C and X 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.

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