Solving systems of linear fuzzy equations by parametric functions---An improved algorithm
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy system of linear equations with crisp coefficients
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A Gröbner basis approach for finding positive solution of fully fuzzy polynomial equations systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Buckley and Qu proposed a method to solve systems of linear fuzzy equations. Basically, in their method the solutions of all systems of linear crisp equations formed by the alpha-levels are calculated. We propose in this paper a new method for solving systems of linear fuzzy equations based on a practical algorithm using parametric functions in which the variables are given by the fuzzy coefficients of the system. We show that our algorithm is much more efficient than the method of Buckley and Qu.