The Refined Solutions on Multiobjective Programming Problems with Fuzzy Parameters in the Constraints

摘要

This paper investigates the multiobjective programming problems with fuzzy parameters in the constraints. First, by the decomposing theorem, we introduce a fuzzy set to characterize the constraints, then give the definition of α-quasi-efficient solution and α-efficient solution, and discuss their properties. Finally, a numerical example is presented to illustrate the differences between the refined solutions and the α-Pareto solution.