An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems

• Main Author: Farhana Akond Pramy
• Format: Article
• Language: English
• Published: International Journal of Mathematical, Engineering and Management Sciences 2018-09-01
• Series: International Journal of Mathematical, Engineering and Management Sciences
• Subjects: Fuzzy set; Linear fractional programming (LFP); Multi-objective linear fractional programming (MOLFP); Fuzzy multi-objective linear fractional programming (FMOLFP) and Graded mean integration representation (GMIR)
• Online Access: https://www.ijmems.in/assets//20-ijmems-17-057-vol.-3%2c-no.-3%2c-280%E2%80%93293%2c-2018.pdf

In this paper, an attempt has been taken to develop a method for solving fuzzy multi-objective linear fractional programming (FMOLFP) problem. Here, at first the FMOLFP problem is converted into (crisp) multi-objective linear fractional programming (MOLFP) problem using the graded mean integration representation (GMIR) method proposed by Chen and Hsieh. That is, all the fuzzy parameters of FMOLFP problem are converted into crisp values. Then the MOLFP problem is transformed into a single objective linear programming (LP) problem using a proposal given by Nuran Guzel. Finally the single objective LP problem is solved by regular simplex method which yields an efficient solution of the original FMOLFP problem. To show the efficiency of our proposed method, three numerical examples are illustrated and also for each example, a comparison is drawn between our proposed method and the respected existing method.