An Interactive Method for Solving Multiple Objective Linear Fractional Programming Problem Based on Linear Optimization Models

Authors

Tahere Hossein-Abadi, Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, IranFollow
Ali Payan, Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, IranFollow

Author Country (or Countries)

Iran

Abstract

This study aims to present an interactive method in order to solve multiple objective linear fractional programming problem (MOLFPP) according to the linear optimization models. Based on the nonlinear nature of the MOLFPP, presenting interactive methods to solve this problem usually involves long, massive, and complex calculation processes. In this paper, the MOLFPP turns into a linear programming problem (LPP) by disregarding some facts (by considering some negligence) through a linearization process. Then, the answer obtained from the new LPP is tested by an LPP in order to determine whether it is efficient or not. Finally, an efficient or dominant solution to the obtained solution is presented to the decision maker (DM).When the obtained solution does not coincide with the comments of the DM, another LPP is solved based on the judgments of the DM to reach a satisfying solution. Due to the linearity of the models applied, this method is easy to understand and use. A numerical example is given to illustrate the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100228

Recommended Citation

Hossein-Abadi, Tahere and Payan, Ali (2016) "An Interactive Method for Solving Multiple Objective Linear Fractional Programming Problem Based on Linear Optimization Models," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 28.
DOI: http://dx.doi.org/10.18576/amis/100228
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/28