Optimality analysis for non-differentiable interval-valued optimization problem with fuzzy environment

Abstract

This article highlights the fuzzy environment for the optimality analysis of non differentiable interval-value optimization problems. Further, an approach is proposed for pseudoconvex optimization problems with general convex constraints. The concept of a (weak) non-dominated solution in the fuzzy sense for an interval optimization problem is inspired by the (weak) Pareto solution of a bi-objective optimization problem. Thus, weestablish the optimality conditions of Karush-Kuhn-Tucker for a non-differentiable ex tremum problem of such a nature under the hypothesis of pseudoconvexity. In support of this, a bi-objective optimization problem is to be constructed for the corresponding non differentiable fuzzy valued optimization problem to prove these conditions. Numerical illustrations and simulation results from our learning are also provided in the paper.