Solving n × n Fuzzy Linear System by Artificial Bee Colony algorithm

Publish Year: 1399
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

CITCOMP05_047

تاریخ نمایه سازی: 22 مرداد 1399

Abstract:

In this paper a novel iterative method based on Artificial Bee Colony algorithm (ABC)for solving fuzzy linear systems of equations AX = b is presented. In which A is n × nnonsingular crisp matrix and b is the arbitrary fuzzy vector. Linear systems with uncertaintyon the parameters play a major role in several applications in various areas suchas economics, finance, engineering, and physics. Moreover, in order to find theapproximate parameters, a simple algorithm from the summation of penalty functionsrelated to equations AiX = bi ,Ai = (ai1,...,ain ) , i = 1, 2, ..., n is proposed(respect to fuzzyarithmetic). Finally, some examples are presented to illustrate the pro- posed method.

Keywords:

Artificial Bee Colony algorithm , Fuzzy number , Fuzzy linear system

Authors

P Mansouri

Department of Computer Science, Arak Branch, Islamic Azad University, Arak-Iran