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| 基于奇异值分解和一致-可信度的判断矩阵一致性改进 | |
| 引用本文： | 周群艳,张丽哲,田澎. 基于奇异值分解和一致-可信度的判断矩阵一致性改进[J]. 系统工程, 2004, 22(9): 96-99 |
| 作者姓名： | 周群艳 张丽哲 田澎 |
| 作者单位： | 1. 上海交通大学,安泰管理学院,上海,200052;浙江工业大学,经贸学院,浙江,杭州,310014 2. 中共浙江省委党校,浙江,杭州,310012 3. 上海交通大学,安泰管理学院,上海,200052 |
| 摘 要： | 判断矩阵的一致性改进是层次分析法中的难点。针对该领域研究中存在的不足之处，介绍基于奇异值分解的权重确定方法，提出一个衡量判断矩阵一致性和可信度的综合标准，即一致-可信度，在奇异值分解和一致-可信度的基础上给出一种获得最佳改进判断矩阵的一致性改进方法。 |
| 关 键 词： | 层次分析法 一致性改进 奇异值分解 一致-可信度 |
| 文章编号： | 1001-4098(2004)09-0096-04 |
Consistency Improving of Comparison Matrix Based on Singular Value Decomposition and Consistency-Credibility Degree |
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| ZHOU Qun-yan. Consistency Improving of Comparison Matrix Based on Singular Value Decomposition and Consistency-Credibility Degree[J]. Systems Engineering, 2004, 22(9): 96-99 | |
| Authors: | ZHOU Qun-yan |
| Affiliation: | ZHOU Qun-yan~ |
| Abstract: | The improvement of consistency of comparison matrix is a difficult problem in Analytic Hierarchy Process. (According) to the deficiencies of the research in this field, a new approach for determining the associated weights using the method of Singular Value Decomposition is introduced, and Consistency-Credibility Degree, an index which is used to (measure) the consistency and credibility of comparison matrix, is proposed. Based on Singular Value Decomposition and (Consistency-Credibility) Degree, a new approach is given to obtain the optimal improved comparison matrix. |
| Keywords: | Analytic Hierarchy Process Improvement of Consistency Singular Value Decomposition Consistency-Credibility Degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |