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| Utopian preference mapping and the utopian preference method for group multiobjective optimization | |
| 作者姓名： | HU Yu HONG Zhenjie ZHOU Xuanwei |
| 作者单位： | School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027, China,Department of Mathematics, Shanghai University, Shanghai 200436, China;Department of Mathematics, Wenzhou Normal College, Wenzhou 325027, China,School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027, China;Department of Mathematics, Shanghai University, Shanghai 200436, China |
| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 70071026) and Wenzhou University of China |
| 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 preference, 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. |
| 关 键 词： | group decision making multiobjective optimization utopian point utopian preference |
Utopian preference mapping and the utopian preference method for group multiobjective optimization |
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| HU Yu,HONG Zhenjie,ZHOU Xuanwei.Utopian preference mapping and the utopian preference method for group multiobjective optimization[J].Progress in Natural Science,2003,13(8):573-577. | |
| Authors: | Hu Yuda Hong Zhenjie Zhou Xuanwei |
| Institution: | 1. School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027, China 2. Department of Mathematics, Shanghai University, Shanghai 200436, China;Department of Mathematics, Wenzhou Normal College, Wenzhou 325027, China 3. School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027, China;Department of Mathematics, Shanghai University, Shanghai 200436, China |
| Abstract: | 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 preference, 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. |
| Keywords: | group decision making multiobjective optimization utopian point utopian preference |
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