| 基于一致性和偏好程度的区间数多属性决策方法 |
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| 引用本文： | 刘芳,兰继斌.基于一致性和偏好程度的区间数多属性决策方法[J].广西大学学报(自然科学版),2009,34(5). |
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| 作者姓名： | 刘芳 兰继斌 |
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| 作者单位： | 广西大学,数学与信息科学学院,广西,南宁,530004 |
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| 基金项目： | 国家自然科学基金，广西大学科研基金 |
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| 摘 要： | 研究区间数互反判断矩阵的一致性及其排序方法,提出了一致性区间数互反判断矩阵的定义及其构造方法,定义了一致性区间数互反判断矩阵的偏好程度矩阵,并证明该矩阵为实模糊互补判断矩阵,最后给出了确定权重的新的简单算法,通过算例说明此方法的可行性与有效性.
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| 关 键 词： | 区间数互反判断矩阵 一致性 偏好程度 排序 |
An approach for interval multi-attribute decision making based on consistency and preference relation |
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| Abstract: | Consistency and ranking method of interval reciprocal comparison matrices are studied. A
consistent interval reciprocal comparison matrix is defined and further constructed. Based on
consistent interval reciprocal comparison matrices, a preference relation is given and proven to be a
crisp complementary comparison matrix. Finally, a new approach to obtain the weights is proposed,
and a numerical example is calculated to demonstrate the feasibility and practicality of the proposed
procedure. |
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| Keywords: | interval reciprocal comparison matrix consistency preference relation |
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