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Zero-Point Maximum Allocation Method for Solving Intuitionistic Fuzzy Transportation problem

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Abstract

Transportation problems (TP) can be solved by various methods when the parameters are in crisp nature. But when the parameters are vague in nature or have imperfect knowledge or have partial information then we have to use the fuzzy optimization. Sujatha et al. [Solving fuzzy transportation problem (FTP) using zero point maximum allocation method] proposed the procedure for fuzzy transportation problem (FTP) with parameters are in the form of trapezoidal fuzzy numbers. But fuzzy logic is not adequate to describe all the characteristics of the system. To describe all the properties of the system, we have to consider the membership as well as the non-membership including the hesitation part. In the present research paper, we have proposed the solution of the transportation problem (TP) in the form of intuitionistic fuzzy logic by using zero point maximum allocation method. By using this technique, we can observe that the method applied to solve the fuzzy transportation problem (FTP) gives the most suitable optimal solution. A numerical example has also been given to elaborate this technique to solve the intuitionistic fuzzy transportation problem (IFTP).

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Acknowledgements

The first author would like to thank to Council of Scientific and Industrial Research, India for financial support and the authors are also thankful to the referees for their valuable comments.

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  1. Department of Mathematics, Ch. Charan Singh University, Meerut, U.P., 250004, India

    Kamini & M. K. Sharma

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  1. Kamini
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  2. M. K. Sharma
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Correspondence to M. K. Sharma.

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Kamini, Sharma, M.K. Zero-Point Maximum Allocation Method for Solving Intuitionistic Fuzzy Transportation problem. Int. J. Appl. Comput. Math 6, 115 (2020). https://doi.org/10.1007/s40819-020-00867-6

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  • DOI: https://doi.org/10.1007/s40819-020-00867-6

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