• AN ITERATIVE GOAL FOR SOLVING ROUGH BI-LEVEL LINEAR PROGRAMMING PROBLEM

O. E. Emam*, Amany Abdo, N. F. Rizkalla

Abstract


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


Keywords


Bi –level programming, rough programming, goal programming.

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