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Application of intuitionistic fuzzy optimization technique in transportation models

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Abstract

The transportation of products from one place to another is not as simple as considered in the classical transportation model. There are various real life factors, which effect the transportation. This paper studies a solid transportation problem with heterogeneous products to be transported from supply points to demand points taking into consideration the safety factors while transporting. An additional constraint on the budget at each destination is also considered. To reflect the uncertainty in real life situations, transportation parameters are taken as fuzzy numbers. The proposed algorithm proceeds by transforming the problem to a deterministic model using the interval approximation of the fuzzy numbers and applying the intuitionistic fuzzy programming technique with different types of membership and non-membership functions. LINGO software is then used to solve the final model and get the optimal solution. The performance of the proposed approach is shown with a numerical example.

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Acknowledgments

The authors are thankful to the reviewer for valuable suggestions, which have improved the paper. The first author is also thankful to the Council of Scientific and Industrial Research (CSIR), India for providing financial support.

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Authors and Affiliations

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

    Deepika Rani & T. R. Gulati

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  1. Deepika Rani
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  2. T. R. Gulati
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Correspondence to Deepika Rani.

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Rani, D., Gulati, T.R. Application of intuitionistic fuzzy optimization technique in transportation models. OPSEARCH 53, 761–777 (2016). https://doi.org/10.1007/s12597-016-0258-5

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