基于变动控制结构的集优化问题的广义适定性.

Based on variable ordering structures, generalized well-posedness is mainly discussed in this paper for set optimization problems.With the help of variable ordering structures, two different kinds of variable ordering relations are introduced for sets.The corresponding concepts of generalized well-posedness are proposed for set optimization problems.Approximation solution sets are defined and their properties are studied.Furthermore, by using these properties, sufficient and necessary conditions of generalized well-posedness are obtained for set optimization problems, which are based on variable ordering structures.Some examples are also given to illustrate the validity of the main results obtained in this paper.Since the variable ordering structure is a natural generalization of the fixed one, the main results obtained in this paper extend and develop some recent corresponding researches in this field. [ABSTRACT FROM AUTHOR]