Abstract

This Chapter aims to provide the fundamental knowledge for finding the solution of the multi-objective optimization problem (MOOP). Here, the main concentration is on the intelligent meta-heuristic approaches, especially evolutionary approaches. Since the mid-1980s, the Evolutionary approaches are in trend for solving MOOP and developed a very substantial work in the past two decades. Moreover, and despite the maturity of this field, there are yet various essential demands situated in front of the existent-world. This chapter gives a brief note about them and describes the multiple approaches for the effective formulation of the compromise solutions. The essential generation of the MOOP is provided in this chapter, here the concepts of Pareto-optimality, Pareto-front, and many others are introduced, with a specific concentration on open research problems or topics, despite particular research areas. The supreme goal of this chapter is to actuate students and researchers and for developing the new theories in this field, as that will bring the maintainable in this field work for an upcoming couple of decades.

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