Multi-objective inventory model of deteriorating items with some constraints in an intuitionistic fuzzy environment

In this paper, realistic multi-item inventory models without shortages for deteriorating items with stock dependent demand have been formulated in Intuitionistic fuzzy environment. Here, total average cost, warehouse space are assumed to be imprecise in nature. The objectives of maximizing the average profit and minimizing the average deterioration cost are also intuitionistic fuzzy in nature. The impreciseness of the above constraints and objective goals have been expressed by intuitionistic fuzzy linear membership and non-membership functions.

The model have been solved by transforming the problem into two different problems, namely, Intuitionistic Fuzzy Non-linear Programming Problem (IFNLPP) and Weighted Intuitionistic Fuzzy Additive Goal Programming Problem (WIFAGPP) modified/developed for different weights. The model has been illustrated by numerical data. The optimum results for different objectives are obtained for different weights and illustrates the results.