| 引用本文： |
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李健,王中兴.基于逼近理想点排序模糊数的方法[J].广西科学,2012,19(1):21-24,27. [点击复制]
- LI Jian,WANG Zhong-xing.A Method for Ranking Fuzzy Numbers Based on the Approximate Ideal Points[J].Guangxi Sciences,2012,19(1):21-24,27. [点击复制]
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| 摘要: |
| 利用左右优势度及贴近度等概念定义正负理想点,并通过α截集的方法把模糊数变成区间数,再利用期望值把它映射到数轴上,然后求出期望均值到左右理想点的距离,最后利用其距离形成一个类似贴近度的综合排序指标,用此来对模糊数排序.实例说明该方法计算简单,能够克服现存的一些排序方法的缺陷,且便于运用在实际问题中. |
| 关键词: 模糊数 排序 理想点 期望均值 |
| DOI： |
| 投稿时间：2011-01-07修订日期：2011-03-21 |
| 基金项目:广西自然科学基金项目(桂科自0991029)资助。 |
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| A Method for Ranking Fuzzy Numbers Based on the Approximate Ideal Points |
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LI Jian1, WANG Zhong-xing2
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| (1.School of XingJian College of Science and Liberal Arts, Guangxi University, Nanning, Guangxi, 530005, China;2.School of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Under the integrated considerations about the fuzzy number expected value and the ideas point, the fuzzy numbers are mapped to the expected interval by a cut set, then the distances between the left and right expected value to the ideal positive point and negative point are calculated.At last, the synthesized index is formed for ranking fuzzy numbers.The merits of the results given here are to overcome certain shortcomings in the recent literature.The method also has very easy and simple calculations compared to other methods. Moreover, numerical examples are given to compare the proposed method with other existing ones. |
| Key words: fuzzy numbers ranking ideal point expected value |
