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Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables

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International Journal of System Assurance Engineering and Management Aims and scope Submit manuscript

Abstract

In real-life decisions usually we have to suffer through different states of uncertainties. In this article, we formulate a transportation problem in which costs, supplies and demands all are different types of real, fuzzy or intuitionistic fuzzy numbers that is the data has different types of uncertainties. We propose a ranking procedure for intuitionistic fuzzy numbers. Using the proposed ranking function intuitionistic fuzzy methods are proposed to find starting basic feasible solution in terms of trapezoidal intuitionistic fuzzy numbers. Intuitionistic fuzzy modified distribution method is proposed to find optimal solution. We illustrate the methodology by numerical examples.

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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.

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Authors and Affiliations

  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. Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables. Int J Syst Assur Eng Manag 7, 262–272 (2016). https://doi.org/10.1007/s13198-016-0456-9

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  • DOI: https://doi.org/10.1007/s13198-016-0456-9

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