| 基于语言量词的变权综合决策方法 |
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| 引用本文： | 李德清,王加银.基于语言量词的变权综合决策方法[J].系统工程理论与实践,2010,30(11):1998-2002. |
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| 作者姓名： | 李德清 王加银 |
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| 作者单位： | 1. 军械工程学院 基础部,石家庄050003;2. 北京师范大学 数学科学学院 数学与复杂系统教育部重点实验室, 北京 100875 |
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| 基金项目： | 国家自然科学基金，北京师范大学应用数学校级重点学科建设项目 |
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| 摘 要： | 利用Borda函数和语言量词将因素状态向量转化为因素的序分值向量,并由序分值向量构造出一类新的激励型状态变权向量,据此建立一种基于语言量词的变权综合决策模型.为说明此决策模型反映语言量词语义的效果,对一些典型语言量词所构造的变权综合决策模型和相应的OWA算子进行了对比分析.最后给出一个应用实例.
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| 关 键 词： | 语言量词 状态向量 序分值向量 状态变权 变权综合 |
| 收稿时间： | 2009-08-09 |
Variable weight average based on linguistic quantifier |
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| LI De-qing,WANG Jia- yin.Variable weight average based on linguistic quantifier[J].Systems Engineering —Theory & Practice,2010,30(11):1998-2002. |
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| Authors: | LI De-qing WANG Jia- yin |
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| Institution: | 1. Department of Mathematics, Ordnance Engineering College, Shijiazhuang 050003, China;2. School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex System, Ministry of Education, Beijing 100875, China |
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| Abstract: | Factor state vector is transferred into quantifier guided order index vector by applying Borda function and linguistic quantifier. With the quantifier guided order index vector, a kind of new encouraging state variable weight vector is presented. Therefore, a variable weight averaging operator based on linguistic quantifier is constructed. In order to verify the capability of reflecting the linguistic value's semantics, some variable weight averaging operators based on several typical linguistic quantifiers and the corresponding OWA operators guided by the same linguistic quantifiers are compared. Finally, an example is presented. |
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| Keywords: | linguistic quantifier state vector quantifier guided order index vector state variable weights variable weight average |
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