| 一种基于语言值多数的变权综合决策方法 |
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| 引用本文： | 李德清,崔红梅,李洪兴. 一种基于语言值多数的变权综合决策方法[J]. 系统工程学报, 2005, 20(3): 245-249 |
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| 作者姓名： | 李德清 崔红梅 李洪兴 |
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| 作者单位： | 北京师范大学数学系,北京,100875 |
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| 基金项目： | 国家自然科学基金资助项目(60474023),教育部博士点基金资助项目(20020027013),教育部科学技术重点资助项目(03184),973国家重大基础研究计划基金资助项目(2002CB312200). |
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| 摘 要： | 采用模糊集理论和变权原理研究基于语言值多数的多因素决策问题．将“令人满意因素”和“大多数”等语言信息视为模糊集,利用语言值量化算子计算各因素的满意度和各方案关于模糊大多数的隶属度,由此构造激励型和惩罚型状态变权向量以实现权重在因素之间的转移,使因素的权重主要集中在令人满意因素上并且按决策问题的需要进行某种均衡分配,最终构建模糊决策模型．
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| 关 键 词： | 模糊决策 状态变权 权重转移 语言值 语言量化算子 |
| 文章编号： | 1000-5781(2005)03-0245-05 |
Variable weights multifactor decision-making based on linguistic majority |
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| LI De-qing,CUI Hong-mei,LI Hong-xing. Variable weights multifactor decision-making based on linguistic majority[J]. Journal of Systems Engineering, 2005, 20(3): 245-249 |
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| Authors: | LI De-qing CUI Hong-mei LI Hong-xing |
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| Abstract: | The aim of this paper is to research the multifactor decision-making problem based on fuzzy linguistic majority by using fuzzy set theory and variable weights principle. By regarding the information provided by linguistic terms, such as "satisfying factor" and "majority", as fuzzy sets, by means of linguistic operator we calculate the satisfying degree of each factor and the membership degree of fuzzy majority. Then, we can construct state variable weight vector and implement transferring weights among factors. And major weights are occupied and distributed among the satisfying factors. At last, we provide a decision model based on the results above. |
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| Keywords: | fuzzy decision-making state variable weights transferring weights linguistic value linguistic quantifier |
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