基于理想点的模糊数排序方法

J4 ›› 2009, Vol. 44 ›› Issue (8): 86-89.

基于理想点的模糊数排序方法

高山林李健阮小葭

广西大学数学与信息科学学院，广西南宁 530004

收稿日期:2008-12-30 出版日期:2009-08-16 发布日期:2009-11-08
作者简介:高山林(1980-),男,硕士研究生,主要从事运筹决策与优化研究.Email :gaoshan810103@126.com
基金资助:
广西自然科学基金资助项目(0991029)

A method for ranking fuzzy numbers based on the ideal points

School of Mathematics and Information Science, Guangxi University, Nanning 5300 04, Guangxi, China

Received:2008-12-30 Online:2009-08-16 Published:2009-11-08

摘要/Abstract

摘要：

考虑可能度均值和正、负理想点,通过α截集的方法,把模糊数映射成区间数,并求出其左、右可能度均值及可能度均值到左、右理想点的距离,利用其距离形成一个类似贴近度的综合排序指标,并提出以此综合指标排序模糊数的方法。

关键词: 模糊数排序;理想点; 可能度均值

Abstract:

Under the integrated considerations about the possibilistic mean and the ideal points, the fuzzy numbers are mapped to the possibilistic interval by a αcut. In order to form a synthesized index for ranking fuzzy numbers, the distances between the possibilistic mean and the ideal point are calculated.

Key words: ranking fuzzy numbers; the ideal point; the possibilistic mean

中图分类号:

O159

高山林李健阮小葭. 基于理想点的模糊数排序方法[J]. J4, 2009, 44(8): 86-89.

GAO Shan-Lin, LI Jian, RUAN Xiao-Jia. A method for ranking fuzzy numbers based on the ideal points[J]. J4, 2009, 44(8): 86-89.

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