Transportation Optimization with Fuzzy Trapezoidal Numbers Based on Possibility Theory

Dayi He, Ran Li, Huang Qi and Ping Lei

PLOS ONE, 2014, vol. 9, issue 8, 1-12

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0105142

DOI: 10.1371/journal.pone.0105142

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