**
Farhana Akond Pramy **
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh.

DOI https://dx.doi.org/10.33889/IJMEMS.2018.3.3-020

**Abstract**

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.

**Keywords-** Fuzzy set, Linear fractional programming (LFP), Multi-objective linear fractional programming (MOLFP), Fuzzy multi-objective linear fractional programming (FMOLFP), Graded mean integration representation (GMIR).

**Citation**

Pramy, F. A (2018). An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems. *International Journal of Mathematical, Engineering and Management Sciences*, *3*(3), 280-293. https://dx.doi.org/10.33889/IJMEMS.2018.3.3-020.

**Conflict of Interest**

**Acknowledgements**

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