On the maximum entropy parameterized interval approximation of fuzzy numbers

被引：18

作者：

Liu, XW ^{[1
]}

机构：

[1] Southeast Univ, Sch Econ & Management, Nanjing 210096, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 07期

基金：

中国国家自然科学基金;

关键词：

fuzzy numbers; weighting function; interval approximation; maximum entropy;

D O I：

10.1016/j.fss.2005.09.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper extends the interval-valued weighted possibilistic mean of a fuzzy number of Fuller and Majlender to a general weighting function without the monotonic increasing assumption. This weighting function determines a weighted average aggregation of the cuts of the fuzzy number according to the preference of a decision-maker. Some properties of the weighting function are provided and a preference index that qualifies this aggregation and can serve as a parameter for the definition of interval approximation of a fuzzy number is proposed. A special class of parameterized weighting functions satisfying the maximal entropy principle is proposed. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：869 / 878

页数：10

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