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An application of FISM and TOPSIS to a multi-objective multi-item solid transportation problem

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Abstract

This paper deals a multi-objective multi-item solid transportation problem (MMSTP) with fuzzy inequality constraints in profit maximization and time minimization forms. Following fuzzy chance programming, more specificity possibility-necessity theory, an approach to conversion of the imprecise MMSTP to the equivalent deterministic form is formulated. Fuzzy interactive satisfied method is adopted to derive optimal compromise solutions of the MMSTP through generalized reduced gradient technique. In order to obtain best non-dominating solution, the technique for order preference by similarity to ideal solution is applied. Finally, a numerical example and a statistical test namely, analysis of variance illustrate and signify the feasibility and validity of the proposed model and techniques.

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Acknowledgements

The authors are very much grateful to the Hon’ble Editor-in-Chief, OPSEARCH and respected reviewers for their valuable comments. DST-INSPIRE (IF153044) and WBDST (Sanction order 888/SANC/ST/P/S&T/16G-1/2015 Dated 17.01.2016 are also thankful.

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  1. Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, W.B, 723104, India

    Anjana Kuiri & Barun Das

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  1. Anjana Kuiri
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  2. Barun Das
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Correspondence to Anjana Kuiri.

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Kuiri, A., Das, B. An application of FISM and TOPSIS to a multi-objective multi-item solid transportation problem. OPSEARCH 57, 1299–1318 (2020). https://doi.org/10.1007/s12597-020-00456-7

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