| 基于Vague集的多目标二人零和矩阵对策 |
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| 引用本文： | 周晓光,张强,宋元涛.基于Vague集的多目标二人零和矩阵对策[J].北京理工大学学报,2007,27(1):87-90. |
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| 作者姓名： | 周晓光 张强 宋元涛 |
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| 作者单位： | 北京理工大学,管理与经济学院,北京,100081;北京科技大学,经济管理学院,北京,100083;北京理工大学,管理与经济学院,北京,100081;中国科学院研究生院,工程教育学院,北京,100049 |
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| 摘 要： | 根据多目标决策和模糊对策理论,研究支付值为Vague值的多目标二人零和矩阵对策.讨论了Vague多目标二人零和矩阵对策的两种求解方法:一是先将Vague多目标对策问题清晰化,再转化为单目标对策问题求解;另一种方法是先将Vague多目标对策集结为Vague单目标对策,再根据Vague值的排序函数进行清晰化求解.算例表明,上述两种方法能方便地得到多目标矩阵对策的均衡策略和均衡解.
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| 关 键 词： | Vague集 矩阵对策 多目标对策 |
| 文章编号： | 1001-0645(2007)01-0087-04 |
| 收稿时间： | 2006/6/29 0:00:00 |
| 修稿时间： | 06 29 2006 12:00AM |
Multi-Objective Two-Person Zero-Sum Matrix Game Based on Vague Set |
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| ZHOU Xiao-guang,ZHANG Qiang and SONG Yuan-tao.Multi-Objective Two-Person Zero-Sum Matrix Game Based on Vague Set[J].Journal of Beijing Institute of Technology(Natural Science Edition),2007,27(1):87-90. |
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| Authors: | ZHOU Xiao-guang ZHANG Qiang and SONG Yuan-tao |
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| Institution: | 1. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;2. School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China; 3. College of Engineering, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | Based on theories of multi-objective decision making and fuzzy game,the multi-objective two-person zero-sum matrix game,whose payoff value is a vague value is studied.Two solution methods regarding vague multi-objective two-person zero-sum matrix game are discussed: one is making the vague multi-objective game problem certain through the order function of vague values first,then turning it into single objective game;the other method is turning vague multi-objective game problem into vague single objective game problem first,then making it certain through the order function of vague values.Numerical examples show that both methods can easily reach at equilibrium strategy and equilibrium solution. |
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| Keywords: | Vague set matrix game multi-objective game |
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