@article{ref1,
title="Transportation optimization with fuzzy trapezoidal numbers based on possibility theory",
journal="PLoS one",
year="2014",
author="He, Dayi and Li, Ran and Huang, Qi and Lei, Ping",
volume="9",
number="8",
pages="e105142-e105142",
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.<p /> <p>Language: en</p>",
language="en",
issn="1932-6203",
doi="10.1371/journal.pone.0105142",
url="http://dx.doi.org/10.1371/journal.pone.0105142"
}