On the Solution of Rough Goal Bi-Level Multi-Objective Linear Programming Problem

This paper proposes a bi-level linear programming problem with linear constraints, in which the linear objective functions are to be maximized with different rough goals, the suggested approach in this paper is mainly based on the iterative goal programming method of Dauer and Krueger to develop the optimal solution of the bi-level decision- maker, then we uses the concepts of tolerance membership function technique to generate the optimal solution for this problem. An auxiliary problem is discussed as well as an example is presented.