He Dayi, Li Ran, Huang Qi, Lei Ping
School of Humanities & Economic Management, Lab of Resources & Environment Management, China University of Geosciences (Beijing), Beijing, P. R. China.
PLoS One. 2014 Aug 19;9(8):e105142. doi: 10.1371/journal.pone.0105142. eCollection 2014.
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.
本文介绍了一种求解模糊运输问题的参数方法。考虑到运输问题的参数具有不确定性，本文提出了一种具有模糊供应、需求和成本的广义模糊运输问题。为简单起见，假定这些参数为模糊梯形数。基于可能性理论，并结合决策者的主观性和实际需求，通过应用分位数和模态方法对模糊约束和目标进行去模糊化处理，将模糊运输问题转化为一个清晰的线性运输问题。最后，给出了一个数值例子来说明模糊运输规划的应用，并验证所提方法的有效性。
