| 基于Vague集的群决策方法研究 |
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| 引用本文： | 周晓光,张强.基于Vague集的群决策方法研究[J].数学的实践与认识,2007,37(19):12-18. |
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| 作者姓名： | 周晓光 张强 |
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| 作者单位： | 1. 北京科技大学,经济管理学院,北京,100083
2. 北京理工大学,管理与经济学院,北京,100081 |
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| 基金项目： | 国家自然科学基金;985工程二期资助项目 |
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| 摘 要： | 首先介绍了Vague集的基本概念,将直觉模糊集的一些运算规则重新在Vague集上作了定义,提出用Vague值表示的九级语言术语集.接着指出衡量Vague集(值)相似度要考虑的三个因素,提出了新的度量方法.在同时考虑专家决策结果的一致性和专家权重的基础上,提出了汇总各专家Vague意见的方法.最后以一个案例说明了所提出的方法.
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| 关 键 词： | 群决策 Vague集 相似度量 |
| 修稿时间： | 2005年2月5日 |
Research on Group Decision Making Based on Vague Set |
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| ZHOU Xiao-guang,ZHANG Qiang.Research on Group Decision Making Based on Vague Set[J].Mathematics in Practice and Theory,2007,37(19):12-18. |
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| Authors: | ZHOU Xiao-guang ZHANG Qiang |
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| Abstract: | Firstly,the concept of vague set is introduced and some operations from intuitionistic fuzzy set are redefined under vague set,and also a nine-grade linguistic terms denoted by vague values are proposed.Secondly,three factors which are affecting the similarity measures between vague sets and between elements are pointed out.Then a new similarity measure method is proposed.Considering both agreement degree of decision opinions and the degree of importance of each expert,a method is presented for aggregating individual vague opinions.Finally,a numerical example is given to apply our method. |
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| Keywords: | group decision making vague set similarity measure |
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