Alternative technique for equality constraint-based optimization problem under epistemic uncertainty

Abstract

In this paper, epistemic uncertainty such as the concept of fuzzy set theory has been considered for the analysis of an optimization problem. Accordingly, a fully fuzzy linear programming problem with equality fuzzy constraints has been analysed. Here the involved parameters and variables are considered in terms of trapezoidal fuzzy numbers. In this regard, a new alternative method by converting the fuzzy problem into an equivalent crisp problem has been proposed. In the methodology, for the defuzzification process linear combination-based approach for the fuzzy objective function as well as fuzzy arithmetic are used for the constraints and the non-negative restrictions. Various numerical examples have been solved and compared with the existing results for the validation.