Utopian preference mapping and the Utopian preference method for group multiobjective optimization

摘要

The individual Utopian preference and the group Utopian preference on a set of alternatives, and the concept of the Utopian preference mapping from the individual Utopian preferences to the group Utopian preferences, based on the Utopian points of the corresponding multiobjective optimization models proposed by decision makers are introduced. Through studying the various fundamental properties of the Utopian preference mapping, a method for solving group multiobjective optimization problems with multiple multiobjective optimization models is constructed.