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

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.

کلیدواژه ها:

Artificial Bee Colony algorithm ، Fuzzy number ، Fuzzy linear system