Decision making in a Fuzzy Environment with allowable shortages & chance constraints for Multi - Items

Abstract: This paper explores a Mathematical model for obtaining the minimum total cost of Multi-items with Mult-objectives in a Fuzzy Environment. The paper incorporates four constraints such as warehouse space and the constraint, investment amount constraint, percentage of utilization of volume of the ware house space and the shortage level constraint by allowing shortages. The previous researchers had analyzed different models on this relevant topic without shortages. But this paper mainly focuses on model with shortages and above mentioned constraints. Ware house maintenance is one of the essential parts of service operation. The ware house space in selling stores plays an important role in stocking the goods. In the proposed model, the ware house space is considered in volume. The demand is taken as function of unit cost price which is taken as triangular fuzzy number. This paper also includes a detailed numerical example to elucidate our proposed strategy.