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Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming Problem

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Abstract

This paper develops an approach for solving intuitionistic fuzzy linear fractional programming problem (IFLFPP). The cost of the objective function, the resources, and the technological coefficients are taken to be triangular intuitionistic fuzzy numbers. Here, the IFLFP problem is transformed into an equivalent crisp multi-objective linear fractional programming problem (MOLFPP). By using fuzzy mathematical programming approach, the transformed MOLFPP is reduced into a single objective linear programming problem (LPP) which can be solved easily by suitable LPP algorithm. The proposed procedure is illustrated by a numerical example.

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Acknowledgments

The first author gratefully acknowledges the financial support given by the Ministry of Human Resource and Development (MHRD), Govt. of India, India. The authors are thankful to the reviewers for their suggestions.

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  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Sujeet Kumar Singh & Shiv Prasad Yadav

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  1. Sujeet Kumar Singh
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  2. Shiv Prasad Yadav
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Correspondence to Sujeet Kumar Singh.

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Singh, S.K., Yadav, S.P. Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming Problem. Int. J. Fuzzy Syst. 18, 263–269 (2016). https://doi.org/10.1007/s40815-015-0108-2

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  • DOI: https://doi.org/10.1007/s40815-015-0108-2

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