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Journal Paper

A Method for Solving Fuzzy Matrix Equations

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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Categories
Journal Paper

Fuzzy Quasi-Interpolation Solution for Fredholm Fuzzy Integral Equations of Second Kind

Soft Computing, Vol. 21, No. 15, (2017) 4323–4333.

In this paper, we intend to offer a new approach to solve Fredholm fuzzy integral equation of the second kind by the concept of source distance and fuzzy quasi-interpolation. The error estimation of the proposed method is proved in terms of the fuzzy modulus of continuity which will be introduced in this paper. Finally some examples have been given to emphasize acceptable accuracy of our method.

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@Copyright 2020  Dr. Amirfakhrian  | Powered by Applied Plan