FUZZY INVENTORY MODEL FOR DETERIORATING ITEMS WITH FLUCTUATING DEMAND AND SHORTAGE UNDER FULLY BACKLOGGED AND USING INVENTORY PARAMETERS AS PFN

Abstract

Abstract:- In this paper, we first consider a crisp inventory model with constant deteriorating items with constant demand where shortages are allowed with fully back logged condition. Thereafter we developed the corresponding fuzzy inventory model for fuzzy deteriorating items with fuzzy demand rate under full backlogging. The average total inventory cost in fuzzy sense is derived. All inventory parameters including deterioration rate are fuzzified as the pentagonal fuzzy numbers. The fuzzy model is defuzzified by using the Graded mean representation method and Signed distance method. The solution for minimizing the fuzzy cost function has been derived. The results obtained by this method are explained by the use of numerical data. Keywords:- Inventory, Deterioration, Fuzzy model, Shortages, Pentagonal Fuzzy Number [PFN], Signed distance method.