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

Author

Listed:
  • Anjana Kuiri

    (Sidho-Kanho-Birsha University)

  • Barun Das

    (Sidho-Kanho-Birsha University)

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.

Suggested Citation

  • Anjana Kuiri & Barun Das, 2020. "An application of FISM and TOPSIS to a multi-objective multi-item solid transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1299-1318, December.
    • Handle: RePEc:spr:opsear:v:57:y:2020:i:4:d:10.1007_s12597-020-00456-7
    DOI: 10.1007/s12597-020-00456-7
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    References listed on IDEAS

    as
    1. Srikanta Samanta & Shyamal Kumar Mondal & Barun Das, 2015. "A multi-objective solid transportation problem with discount and two-level fuzzy programming technique," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 24(4), pages 423-440.
    2. Srikant Gupta & Irfan Ali & Aquil Ahmed, 2018. "Multi-objective capacitated transportation problem with mixed constraint: a case study of certain and uncertain environment," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 447-477, June.
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    Cited by:

    1. Darko Božanić & Dragan Pamucar & Ibrahim Badi & Duško Tešić, 2023. "A decision support tool for oil spill response strategy selection: application of LBWA and Z MABAC methods," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 24-58, March.

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