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

作     者：HU Yuda, HONG Zhenjie and ZHOU Xuanwei (1. School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027, China 2. Department of Mathematics, Shanghai University, Shanghai 200436, China 3. Department of Mathematics, Wenzhou Normal College, Wenzhou 325027, China) 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2003年第8期

页      面：15-19页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No.70071026) and Wenzhou University of China 

主　　题：group decision making multiobjective optimization Utopian point Utopian preference. 

摘      要：The individual utopian preference and the group utopian preference on a set of alternatives, and the concept of the utopi-an preference mapping from the individual utopian preferences to the group utopian preferences, based on the utopian points of the corre-sponding multiobjective optimization models proposed by decision makers are introduced. Through studying the various fundamental prop-erties of the utopian preference mapping, a method for solving group multiobjective optimization problems with multiple multiobjective op-timization models is constructed.