| 引用本文: | 许永平,王维平,杨峰.基于多粒度多语义语言判断矩阵的群决策方法.[J].国防科技大学学报,2010,32(5):173-178.[点击复制] |
| XU Yongping,WANG Weiping,YANG Feng.Approach to Group Decision Making with Multi-granularity and Multi-semantic Linguistic Comparison Matrices[J].Journal of National University of Defense Technology,2010,32(5):173-178[点击复制] |
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| 基于多粒度多语义语言判断矩阵的群决策方法 |
| 许永平, 王维平, 杨峰 |
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(国防科技大学 信息系统与管理学院，湖南 长沙 410073)
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| 摘要: |
| 在基于语言判断矩阵的群决策中，多个决策者可能会使用不同粒度不同语义的语言评价集表达自己的偏好。针对此问题，提出了将多粒度多语义语言评价集统一转化为基本语言评价集上二元语义的一致化方法，证明该方法能够实现信息无损的转换，且转换后语言判断矩阵性质不会改变。在此基础上，基于二元语义的相关集结算子，将二元语义信息集结为群体的判断。通过一个实例验证了方法的有效性和实用性。 |
| 关键词: 多粒度 多语义 语言判断矩阵 二元语义 群决策 |
| DOI： |
| 投稿日期：2010-03-25 |
| 基金项目: |
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| Approach to Group Decision Making with Multi-granularity and Multi-semantic Linguistic Comparison Matrices |
| XU Yongping, WANG Weiping, YANG Feng |
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(College of Information System and Management, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| In group decision-making problems with linguistic comparison matrices, different decision makers may use linguistic term sets with different granularity and different semantic to represent their preferences. A new approach to deal with this issue was presented, which uniform the linguistic term sets with multi-granularity and multi-semantic into the normalized representations of two-tuple linguistic. It was approved that by this approach there is no information loss and the linguistic comparison matrix can keep its properties after unification. Then, based on some aggregation operators of 2-tuple linguistic, different decision makers' preference information was aggregated into the group preference information and most desirable alternative is selected. An example was presented to validate the proposed method. |
| Keywords: multi-granularity multi-semantic linguistic comparison matrix two-tuple group decision making |
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