Fuzzy Pareto Optimality

Abstract

The decision making problems mostly involve optimization of multiple conflicting objectives. The investigation of trade-off between the objectives under a prescribed set of constraints generates a bunch of Pareto-optimal solutions. In this chapter the multiobjective optimization problem is studied in fuzzy environment. The concept of efficient solution for Fuzzy Multiobjective Optimization Problems (FMOPs) is studied in detail in this chapter. The fuzzy geometry that is introduced in this book facilitates the analysis of the fuzzy decision space and fuzzy criterion space more accurately and effectively. The main objective of this chapter is to capture fuzzy Pareto frontier using the concept of same and inverse point of fuzzy geometry. © 2019, Springer Nature Switzerland AG.