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Intuitionistic fuzzy multi-objective linear programming problem with various membership functions

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Abstract

This study addresses intuitionistic fuzzy multi-objective linear programming problems using triangular intuitionistic fuzzy numbers with mixed constraints. We convert the problem into single objective fuzzy programming problem. Then using different types of membership functions (linear and nonlinear), we transform the problem into crisp linear/non-linear programming problem, which is solved by suitable crisp programming approaches. The methodology is demonstrated with the help of a numerical example and the usefulness of various membership functions is discussed.

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Acknowledgements

The authors gratefully acknowledge the financial support given by the Ministry of Human Resource and Development (MHRD), Govt. of India, India. Also the authors would like to thank the anonymous reviewers for making critical and conceptual comments, which helped to improve the manuscript in the present form.

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Authors and Affiliations

  1. The Logistics Institute-Asia Pacific, National University of Singapore, Singapore, 119613, Singapore

    Sujeet Kumar Singh

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

    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. Intuitionistic fuzzy multi-objective linear programming problem with various membership functions. Ann Oper Res 269, 693–707 (2018). https://doi.org/10.1007/s10479-017-2551-y

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  • DOI: https://doi.org/10.1007/s10479-017-2551-y

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