| 引用本文： |
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李健,高山林,阮小葭.基于综合扩展优势度排序L-R型模糊数的方法[J].广西科学院学报,2009,25(3):159-162. [点击复制]
- LI Jian,GAO Shan-lin,RUAN Xiao-jia.The Method for Ranking L-R Fuzzy Numbers Based on Synthesized Expansion Dominance[J].Journal of Guangxi Academy of Sciences,2009,25(3):159-162. [点击复制]
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| 摘要: |
| 根据决策者的偏好及L-R型模糊数的左、右扩展优势度定义该类型模糊数综合扩展优势度,再依据综合扩展优势度,计算每个模糊数相对于其它模糊数综合优势度的几何平均值,以确定模糊数的排序向量,提出一种基于综合扩展优势度排序L-R型模糊数的方法,并用算例进行检验.算例验证表明,该方法在一定程度上克服了现有模糊数排序方法存在的缺陷。 |
| 关键词: 模糊数 排序 优势度 |
| DOI： |
| 投稿时间：2008-11-13 |
| 基金项目:广西自然科学基金项目([桂科自]:0991029)资助 |
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| The Method for Ranking L-R Fuzzy Numbers Based on Synthesized Expansion Dominance |
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LI Jian, GAO Shan-lin, RUAN Xiao-jia
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| (School of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Based on the decision maker's preference and left and right expansion dominance of fuzzy numbers,the fuzzy numbers synthesized expansion dominance are given.A judgment matrix with consistency is constructed by the fuzzy numbers synthesized expansion dominance and the geometry average of their dominance corresponding standardized eigenvector was calculated.The proposed method for ranking fuzzy numbers are determined by the size of weight eigenvector.At last,this paper used some examples to illustrate the advantages of the proposed index. |
| Key words: fuzzy numbers ranking dominance |
