A PROPOSED METHOD FOR SOLVING A SPECIAL CASE OF MULTI-OBJECTIVE FRACTIONAL PROGRAMMING PROBLEM

MOHAMED SOLOMON, HEGAZY ZAHER, NAGLAA RAGAA
2022 Zenodo  
This paper presents a special case of multi-objective linear fractional programming (MOLFP) problem as a new assumption to transform MOLFP to the multi-objective linear programming (MOLP) problem. The new assumption is, the denominators of the fractional objective functions in the MOLFP problem are the same. In the beginning, we introduced the linear fractional programming (LFP) problem with the solution method to illustrate the proposed method. Our proposed is based on Charnes and Cooper
more » ... ormation, which is transforming the fractional objective functions to MOLP problem. The Weighted sum method is considered in this paper to solve the MOLP problem after Charnes and Cooper transformation. To illustrate the proposed method, a numerical example is presented.
doi:10.5281/zenodo.7104826 fatcat:t3awqpzxojgadfxq5rvzr2cxda