Optimality conditions for interval-valued multi-objective functions using gh-symmetric derivative in e-convex interval-valued programming problems

This thesis study consists of six chapters. In the rst chapter, the historical develop ment of the subject discussed in the study is mentioned. In the second chapter, some basic notions necessary for a better understanding of the study are given. In the third chapter, the concepts of gH-derivative and gH-symmetric derivative for real valued and interval valued functions are introduced, and their properties as well as the relationships between these concepts are explained through examples and theo rems. In the fourth chapter, using the concept of gH-symmetric derivative in interval valued multi objective programming problems, Fritz John type optimality conditions under the LR ordering relation are explained. In the fth chapter, the concepts of E-convex function and E-convex set are introduced, and their properties as well as the relationships between these concepts are explained through theorems. In the sixth chapter, using the concept of gH-symmetric derivative in E-convex interval valued multiobjective programming problems, Fritz john type optimality conditions under the LU ordering relation are explained.