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

Abstract

A three level fractional programming problem is presented in thi s paper with a random rough coefficient in constraints at the first phase of the solution approach and t o 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. Fi nally results are illustrated by a numerical example.