This paper develops a latest mathematical model to derive the membership function of fuzzy retrial queue with single server queue model FM1, FM2/FM1, FM2/1 with priority and unequal service rates. The vital aim of this paper is to combine the parametric non linear programming technique and Yager’s ranking method. Using α - cut approach and Zadeh’s principle the fuzzy queues are changed into crisp queues in this paper. The membership function of the system characteristics is derived for different values of α. The numerical example is given to check the validity of the model.
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