Optimal Compromise Solution for Multiobjective Fuzzy Solid Transportation Problems

Based on recent research on uncertain transportation problems,the paper considers a new multi-objective solid transportation problem(MOSTP) mathematical model,where the cost coefficients of the objective functions,the source and destination parameters are expressed as fuzzy numbers.Firstly,based on the extension principle,the fuzzy MOSTP problem is transformed into a series of MOSTP problems with the fuzzy number cut level as its parameter. Then,considering to the actual meanings of parameters and the relations between intervals,this problem is transformed into a classical crisp MOSTP,and the constraints with interval source and destination parameters are converted into deterministic inequality ones.Finally,the equivalent transformed problem is solved by fuzzy compromise programming technique.An illustrative numerical example is provided to demonstrate the proposed approach.