TY - JOUR PY - 2014// TI - Transportation optimization with fuzzy trapezoidal numbers based on possibility theory JO - PLoS one A1 - He, Dayi A1 - Li, Ran A1 - Huang, Qi A1 - Lei, Ping SP - e105142 EP - e105142 VL - 9 IS - 8 N2 - 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.

Language: en

LA - en SN - 1932-6203 UR - http://dx.doi.org/10.1371/journal.pone.0105142 ID - ref1 ER -