In this study, a fuzzy inventory model of type (s, S) is considered under Nakagami distribution of demands. We first obtain the membership function of the fuzzy renewal function when the amount of demand has Nakagami distribution with a fuzzy spread parameter. By using fuzzy renewal function, we obtain the fuzzy ergodic distribution of this process. Also some numerical results are obtained with the use of this membership function.[Turksen, I. Burhan; Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, TR-06560 Ankara, Turkey; [Turksen, I. Burhan] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON, Canada; [Khaniyev, Tahir] Azerbaijan Natl Acad Sci, Inst Cybernet, Baku, Azerbaijan; [Gokpinar, Fikri] Gazi Univ, Dept Stat, Ankara, Turkey