Vol. 7 No. 1 (2023): Vol 7, Iss 1, Year 2023
Articles

A Study on A Solution Approach to Fuzzy Linear Frctional Programming Problems

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  • Mohamed Assarudeen SN,
  • Devi M
Mohamed Assarudeen SN
Assistant professor, Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi 635 752.
Devi M
Research scholar, Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi 635 752
DOI: https://doi.org/10.26524/cm166
Published June 30, 2023
Keywords
  • fractional programming, triangular fuzzy numbers, parametric form, fuzzy arithmetic, fuzzy ranking
How to Cite
SN, M. A., & M, D. (2023). A Study on A Solution Approach to Fuzzy Linear Frctional Programming Problems. Journal of Computational Mathematica, 7(1), 110-119. https://doi.org/10.26524/cm166

Abstract

In this paper, we propose a method of solving the fully fuzzy linear fractional programming problems, Express all the parameters and variables are triangular fuzzy numbers. Convert all the triangular fuzzy numbers in their parametric form, we convert the fractional programming problem in to a single objective linear programming problem in parametric form. We put new fuzzy arithmetic and fuzzy ranking, we obtain the optimal solution the given fully fuzzy linear fractional programming problem without converting to its equivalent crisp linear programming problem. A numerical example is provided to illustrate the efficiency of the proposed method.

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