Abstract:
Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on
fuzzy numbers. Using gH-differentiability of a fuzzy-valued function ˜ f , new necessary and sufficient
optimality conditions are proposed. The optimality conditions are obtained without putting
additional conditions on fuzzy-valued functions like, convexity, quasi-convexity, pseudo-convexity.
Optimum solution of the fuzzy optimization problem is obtained based on the optimality conditions.
Illustrations and a case study are given to explain the numerical applications of the proposed results.
Comparison of optimality conditions from existing literature is given.