The modified objective-constraint scalarization approach for multiobjective optimization problems

In this article, a novel scalarization methodology, called the modified objective-constraint technique, is proposed for determining efficient solutions given multiobjective programming problem. The suggested scalarized problem extends some existing problems. It shown that how adding slack variables to constraints, can help us find easily checked conditions concerning (weak, proper) Pareto optimality. By applying problem, we generate an almost even approximation of front. performance and capability developed approach are demonstrated in test problems containing disconnected or nonconvex fronts feasible points. particular, apply engineering design with two objective functions.