On Solving Three Level Fractional Programming Problem with Rough Coefficient in Constraints

A three level fractional programming problem is presented in this paper with a random rough coefficient in constraints at the first phase of the solution approach and to avoid the complexity of this problem we begin with converting fractional programming problem into linear problem using Charnes & Cooper method, Then interval technique is used to convert the rough nature in constraints into equivalent crisp model. At the final phase, a membership function is constructed to develop a fuzzy model for obtaining a compromised solution of the three level programming problem. Finally results are illustrated by a numerical example.