A General Form of Fuzzy Linear Fractional Programs with Trapezoidal Fuzzy Numbers

Sapan Kumar Das^1, and S. A. Edalatpanah²

¹Department of Mathematics, National Institute of Technology Jamshedpur, India

²Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran

Cite this paper:
Sapan Kumar Das and S. A. Edalatpanah. A General Form of Fuzzy Linear Fractional Programs with Trapezoidal Fuzzy Numbers. International Journal of Data Envelopment Analysis and *Operations Research*. 2016; 2(1):16-19. doi: 10.12691/ijdeaor-2-1-3

Abstract

In this paper, we have been pointed out the study of fuzzy linear fractional programming (FLFP) problems with trapezoidal fuzzy numbers. Where the objective functions are fuzzy numbers and the constraints are real numbers. In this paper a new efficient method for FLFP problem has been proposed, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters. These proposed methods is based on crisp linear fractional programming and newly transformation technique also used. A computational procedure has been presented to obtain an optimal solutions. To show the efficiency of our proposed method a real life example has been illustrated.

Keywords:
fuzzy linear fractional programming ranking function symmetric trapezoidal fuzzy numbers

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