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论文:2013,Vol:31,Issue(5):710-715 |
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引用本文： |
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游永彬, 周延年, 郑玉山. 基于二元语义层次分析法的主观权重确定算法[J]. 西北工业大学 |
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You Yongbin, Zhou Yannian, Zheng Yushan. A New and Effective Method for Determining Subjetive Weight of Index Based on Two-Tuple Linguistic AHP[J]. Northwestern polytechnical university |
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| 基于二元语义层次分析法的主观权重确定算法 |
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| 游永彬1, 周延年2, 郑玉山1 |
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1. 西北工业大学 自动化学院, 陕西 西安 710072;
2. 西北工业大学 计算机学院, 陕西 西安 710072 |
| 摘要: |
| 针对解决具有语言评价信息的指标主观权重问题,提出了一种基于二元语义层次分析法的主观权重确定方法。该方法采用近年来最新发展的二元语义概念对语言评价信息进行处理,获得二元语义判断矩阵,引入过渡矩阵概念,将二元语义判断矩阵采用模糊互补矩阵表示,通过迭代调整算法,最终确定评价指标的主观权重。最后给出一个实例分析。结果表明方法简单、有效和易于计算。 |
| 关键词:
评价指标
主观权重
二元语义
层次分析法
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| A New and Effective Method for Determining Subjetive Weight of Index Based on Two-Tuple Linguistic AHP |
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| You Yongbin1, Zhou Yannian2, Zheng Yushan1 |
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1. Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China;
2. Department of Computer Science and Engineering, Northwestern Polytechnical University, Xi'an 710072 |
| Abstract: |
| A new and Effective method is proposed to solve the subjective weight of evaluation index with linguistic assessment imformation. In the method,the two-tuple fuzzy linguistic representation developed in recent years is used to aggregate the linguistic assessement information,and then two-tuple linguistic judgement matrix is obtained,which is denoted as fuzzy complementary matrix by introducting the definition of transition matrix. Finaly,the subjetive weight of index is determined by the iterative adjustment. An example is given to illustrate the use of the proposed approaches. |
| Key words:
analytic hierarchy process
efficiency
iterative methods
matrix algebra
evaluation index
subjective weight
two-tuple linguistic
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| 收稿日期: 2013-12-28
修回日期:
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| DOI: |
| 基金项目: 西北工业大学基础研究基金(JC20100217)资助 |
| 通讯作者: 周延年(1981-),西北工业大学博士研究生,E-mail:zhouyannian@hotmail.com
Email：zhouyannian@hotmail.com |
| 作者简介: 游永彬(1974-),西北工业大学博士研究生,主要从事控制科学与工程及社会经济系统工程的研究。
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参考文献: |
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