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A new approach for solving intuitionistic fuzzy transportation problem of type-2

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Abstract

In solving real life transportation problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, we formulate a transportation problem in which costs are triangular intuitionistic fuzzy numbers. We have defined accuracy function using score functions for membership and non membership functions of triangular intuitionistic fuzzy numbers. Then ordering of triangular intuitionistic fuzzy numbers using accuracy function has been proposed. We have utilized this ordering to develop methods for finding starting basic feasible solution in terms of triangular intuitionistic fuzzy numbers. Also the same ordering is utilized to develop intuitionistic fuzzy modified distribution method for finding the optimal solution. Finally the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.

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Acknowledgments

The authors gratefully acknowledge the critical comments given by the learned reviewers which helped to improve the manuscript. 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. A new approach for solving intuitionistic fuzzy transportation problem of type-2. Ann Oper Res 243, 349–363 (2016). https://doi.org/10.1007/s10479-014-1724-1

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