title: Transportation optimization with fuzzy trapezoidal numbers based on possibility theory.
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.
authors.affiliation: School of Humanities & Economic Management, Lab of Resources & Environment Management, China University of Geosciences (Beijing), Beijing, P. R. China.
authors.forename: Dayi
authors.initials: D
authors.lastname: He
authors.affiliation: School of Humanities & Economic Management, Lab of Resources & Environment Management, China University of Geosciences (Beijing), Beijing, P. R. China.
authors.forename: Ran
authors.initials: R
authors.lastname: Li
authors.affiliation: School of Humanities & Economic Management, Lab of Resources & Environment Management, China University of Geosciences (Beijing), Beijing, P. R. China.
authors.forename: Qi
authors.initials: Q
authors.lastname: Huang
authors.affiliation: School of Humanities & Economic Management, Lab of Resources & Environment Management, China University of Geosciences (Beijing), Beijing, P. R. China.
authors.forename: Ping
authors.initials: P
authors.lastname: Lei
mesh_terms: D000465:Algorithms; D017143:Fuzzy Logic; D006801:Humans; D008962:Models, Theoretical; D014186:Transportation; D035501:Uncertainty