Developed a method to solve fuzzy linear systems, indicating improved approximation accuracy.
In this article, it is attempted to develop a method for solving an arbitrary general fuzzy linear system by using the weighted metric. By using of the distance between two fuzzy numbers, the best and nearest approximation fuzzy symmetric vector can be obtained. Defuzzification can replace the $n × n$ fuzzy linear system with two $n × n$ crisp linear system. Consequently, to obtain best approximation of solution for $n × n$ fuzzy linear system the researcher must solve two $n × n$ crisp linear system. Considering the existing and uniqueness of fuzzy solution to n×n linear fuzzy system is done. Numerical examples are presented to illustrate the proposed model.
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سید رحیم صانعی فرد (2025) studied this question.
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