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New approach for solving intuitionistic fuzzy multi-objective transportation problem

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Abstract

Multi-objective transportation problem (MOTP) under intuitionistic fuzzy (IF) environment is analysed in this paper. Due to the fluctuation of market scenario, we assume that the transportation cost, the supply and the demand parameters are not always precise. Hence, the parameters are imprecise, i.e., they are IF numbers. Considering the specific cut interval, the IF transportation cost matrix is converted to interval cost matrix in our proposed problem. Again, using the same concept, the IF supply and the IF demand of the MOTP are reduced to the interval form. Then the proposed MOTP is changed into the deterministic MOTP, which includes interval form of the objective functions. Two approaches, namely intuitionistic fuzzy programming and goal programming, are used to derive the optimal solutions of our proposed problem, and then the optimal solutions are compared. A numerical example is included to illustrate the feasibility and the applicability of the proposed problem. Finally, we present the conclusions with the future scopes of our study.

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Acknowledgements

The third author acknowledges the Spanish Ministry of Economy and Competitiveness for partial funding of the Project TIN2014-55024-P and the Andalusian Government for P11-TIC-8001, both from FEDER funds, to this research work. Authors are very much thankful to the Corresponding Editor Professor M K Tiwari and an anonymous reviewer for their constructive comments, which led to improving the quality of the paper.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    SANKAR KUMAR ROY & SUKUMAR DAS

  2. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, 47651-61964 , Iran

    ALI EBRAHIMNEJAD

  3. Department of Computer Science and Artificial Intelligence, University of Granada, Granada, 18014, Spain

    JOSÉ LUIS VERDEGAY

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  1. SANKAR KUMAR ROY
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  3. JOSÉ LUIS VERDEGAY
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Correspondence to SANKAR KUMAR ROY.

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ROY, S.K., EBRAHIMNEJAD, A., VERDEGAY, J.L. et al. New approach for solving intuitionistic fuzzy multi-objective transportation problem. Sādhanā 43, 3 (2018). https://doi.org/10.1007/s12046-017-0777-7

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  • DOI: https://doi.org/10.1007/s12046-017-0777-7

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