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| 群体决策问题的一种最优均衡解 | |
| 引用本文： | 孟志青,胡奇英,胡毓达. 群体决策问题的一种最优均衡解[J]. 系统科学与数学, 2004, 24(1): 028-034 |
| 作者姓名： | 孟志青 胡奇英 胡毓达 |
| 作者单位： | 1. 浙江工业大学经贸管理学院,杭州,310032 2. 上海大学国际工商与管理学院,上海,201800 3. 温州大学数学与信息科学院,温州,325027 |
| 摘 要： | 本文引进了群体决策问题的一个最优解概念—s~*-最优均衡解,s~*-最优均衡解可以作为群体决策问题的一种解,它的实际意义是为所有的决策者找到一个最优解。我们证明了求解s~*-最优均衡解等价于求解一个相应的单目标优化问题,且在一定条件下s~*-最优均衡解总是存在的。我们也讨论按比例分配的s~*-最优均衡解问题。本文为解决群体决策问题提供了一种新的途径。 |
| 关 键 词： | 对策论 s-均衡解 s-最优均衡解 |
| 修稿时间： | 2002-06-27 |
AN OPTIMAL EQUILIBRIUM SOLUTION FOR GROUP DECISION MAKING PROBLEMS |
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| Zhi Qing MENG,Qi Ying HU,Yu Da HU. AN OPTIMAL EQUILIBRIUM SOLUTION FOR GROUP DECISION MAKING PROBLEMS[J]. Journal of Systems Science and Mathematical Sciences, 2004, 24(1): 028-034 | |
| Authors: | Zhi Qing MENG Qi Ying HU Yu Da HU |
| Affiliation: | College of Business and Adiministration,Zhejiang University of Technology, Hangzhou 310032;(2)School of Economics and Management,Xidian University, Xi'an 710071;(3)Scholl of Mathematics and Information,Wenzhou University, Wenzhou 325027 |
| Abstract: | This paper introduce a new conception called s-optimal equilibrium solution for group decision making problems (GDMP), which is a just solution for GDPM. The meaning of s*-optimal equilibrium solution is to find out an optimal soultion to GDPM for all decision makers. We show that s*-optimal equilibrium solution equals optimal solution to solve another single objective programming problem. We prove the existence of s*-optimal equilibrium solution under some conditions. We also discuss the problem of s*-optimal equilibrium solution under different proportions. This paper gives a new way to solve the group decision making problems. |
| Keywords: | Group decision making s-equilibrium solution s*-optimal equilibrium solution. |
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