T-age Replacement Policy in Fuzzy Renewal Reward Processes

This paper studies a renewal reward process with fuzzy reward and fuzzy random inter arrival times. A theorem about the long run average fuzzy reward and fuzzy life time is proved. The original problem is evaluating the membership of the long run average fuzzy cost per unit time that for obtaining membership, we should solve a nonlinear programming problem. Finally, some application example is provided to illustrate the result.