This paper proposes a procedure to construct the membership function of N-policy queue with infinite capacity. By using mathematical programming we construct the membership function of the system performance measure in which arrival rate and service rate are fuzzy numbers. Based on a-cut approach and Zadeh’s extension principle, the fuzzy queues are converted into a family of crisp queues. Suitable real world example is exemplified to analyze N-policy fuzzy queues. Extending this model to fuzzy environment it would have further more wider applications
