A solid transportation problem with fuzzy random costs and constraints (Q1753770)

Summary: Three Fuzzy Random Solid Transportation Problems (FRSTPs) are proposed, where both fuzziness and randomness occur simultaneously in costs and times. Among the models, the first one is a multi-objective model minimising both fuzzy-random total cost and time and other two are fuzzy-random single objective ones with fuzzy-random/fuzzy constraint on time. The fuzzy-random models are transformed to deterministic multi-objective constrained problems following \textit{S. Nanda} et al. [Fuzzy Optim. Decis. Mak. 7, No. 1, 59--74 (2008; Zbl 1172.90521)]. Finally Pareto optimal decisions are derived using an elitist Multi-Objective Genetic Algorithm (MOGA) with cyclic crossover, two-point mutation and a refining operation.