| 引用本文： |
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兰继斌,史丽华,刘芳.三角模糊数的一种新排序方法[J].广西科学院学报,2007,23(3):140-143. [点击复制]
- LAN Ji-bin,SHI Li-hua,LIU Fang.A New Ranking Method for Triangle Fuzzy Numbers[J].Journal of Guangxi Academy of Sciences,2007,23(3):140-143. [点击复制]
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| 摘要: |
| 根据模糊数的α截集,定义三角模糊数的左、右优于度,构造一致性正互反优于度判断矩阵,并根据其最大特征根所对应的规范化特征向量来确定各个模糊数在α水平下的排序,最后通过积分确定模糊数的排序。该方法满足模糊排序方法合理性的5个公理,而且计算方便。 |
| 关键词: 模糊数 多属性决策 排序 矩阵 α截集 |
| DOI： |
| 投稿时间：2007-05-25 |
| 基金项目: |
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| A New Ranking Method for Triangle Fuzzy Numbers |
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LAN Ji-bin1, SHI Li-hua1,2, LIU Fang1
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| (1.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;2.Guangxi University of Finance and Economics, Nanning, Guangxi, 530003, China) |
| Abstract: |
| Based on α level set,left and right dominance of triangle fuzzy numbers are defined and subsequently a positive reciprocal judgment matrix with consistency is constructed.The order of fuzzy numbers on α level is established according to its largest eigenvalue corresponding standardized eigenvector.Finally,the ranking of fuzzy numbers is determined by integration.This method satisfies five axioms of the reasonable fuzzy order and the calculation is very convenient. |
| Key words: fuzzy numbers multiple attribute decision ranking matrix α level set |
