A Parametric Approach to Solving the Fuzzy Multi-Objective Linear Fractional Programming Problem

Subject Areas : Statistics

H. Naseri ¹ , K. Khazaei kohpar ²

1 - Department of Mathematics, Mazandaran University, Mazandaran,Babolsar, Iran.
2 - Department of Mathematics, Mazandaran University, Mazandaran,Babolsar, Iran

Received: 2017-10-31 Accepted : 2018-01-31 Published : 2018-08-01

Keywords: برنامه‌ریزی کسری خطی, برنامه‌ریزی فازی, برنامه‌ریزی چندهدفه,

Abstract :

In this paper a multi - objective linear fractional programming problem with the fuzzy variables and vector of fuzzy resources is studied and an algorithm based on a parametric approach is proposed. The proposed solving procedure is based on the parametric approach to find the solution, which provides the decision maker with more complete information in line with reality. The simplicity of the proposed method is one of the advantages of the presented algorithm, which allows the decision maker to better understand the solving procedure. Moreover, a numerical example is presented to illustrate the proposed method.