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Transportation Optimization with Fuzzy Trapezoidal Numbers Based on Possibility Theory

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  • Dayi He
  • Ran Li
  • Qi Huang
  • Ping Lei

Abstract

In this paper, a parametric method is introduced to solve fuzzy transportation problem. Considering that parameters of transportation problem have uncertainties, this paper develops a generalized fuzzy transportation problem with fuzzy supply, demand and cost. For simplicity, these parameters are assumed to be fuzzy trapezoidal numbers. Based on possibility theory and consistent with decision-makers' subjectiveness and practical requirements, the fuzzy transportation problem is transformed to a crisp linear transportation problem by defuzzifying fuzzy constraints and objectives with application of fractile and modality approach. Finally, a numerical example is provided to exemplify the application of fuzzy transportation programming and to verify the validity of the proposed methods.

Suggested Citation

  • Dayi He & Ran Li & Qi Huang & Ping Lei, 2014. "Transportation Optimization with Fuzzy Trapezoidal Numbers Based on Possibility Theory," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-12, August.
    • Handle: RePEc:plo:pone00:0105142
    DOI: 10.1371/journal.pone.0105142
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    References listed on IDEAS

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    1. Liu, Shiang-Tai & Kao, Chiang, 2004. "Solving fuzzy transportation problems based on extension principle," European Journal of Operational Research, Elsevier, vol. 153(3), pages 661-674, March.
    2. Arthur M. Geoffrion, 1967. "Stochastic Programming with Aspiration or Fractile Criteria," Management Science, INFORMS, vol. 13(9), pages 672-679, May.
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