An interactive method for solving zero and one multiple objective linear fractional programming problems based on linear optimization models

This study aims to present an interactive method in order to solve zero and one multiple objective linear fractional programming problems (0-1 MOLFPP) according to the linearoptimization models. Due to the linearity of the models applied, this method is both applicable and easy to use. Thanks to the nonlinear nature of the 0-1 MOLFPP, presentinginteractive methods to solve this problem is usually associated with long and massivecalculation processes. In this paper, the 0-1 MOLFPP is converted to a zero and one linear programming problem (0-1 LPP) by using the linearization process. Then the solutionobtained from the new linear model is tested by a 0-1 LPP in order to determine whether it is efficient or not. At last, an efficient solution is presented to the decision maker (DM). When the obtained solution is not coincided the comments of the DM is modified based on the judgments of the DM. Of course the process con be continued to reach a satisfying solution by using another 0-1 LPP

Keywords:

Zero and one linear programming problem , Zero and one multiple objective linear fractional programming problem , efficient solution , Interactive method , Decision maker