Abstract

In recent times exponential fuzzy variable plays a vital role in optimization problem because the linear membership function is not a suitable representation under several practical situations (Computers and Mathematics with Application 22:55–60, 1991; Journal of Experimental Psychology 105:254–276, 1976). In this paper, we have considered possibility, necessity and credibility measures of an exponential fuzzy variable. Here we have a formulated multi-item multi-objective inventory model with stock dependent demand with exponential fuzzy variables. Solution methodology of those models using chance operator has been discussed. Global criterion method and convex combination method are applied to derive optimal compromise solutions of the given model. To show the validity of the proposed models, few sensitive analysis are also presented under the different parameter. A numerical example is presented to illustrate the proposed models.

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