On the properties of parametric geometric OWA operator

被引：106

作者：

Liu, XW ^{[1
]}

Chen, LH ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2004年 / 35卷 / 02期

基金：

中国国家自然科学基金;

关键词：

OWA operator; geometric OWA operator; maximum entropy OWA operator;

D O I：

10.1016/j.ijar.2003.09.001

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Based on the properties of ordered weighted averaging (OWA) operator weights, the parametric geometric OWA (PGOWA) operator and parametric maximum entropy OWA (PMEOWA) operator are proposed. The properties of PGOWA operator are analyzed. The consistence of the orness level and the aggregation value for any arbitrary aggregated elements with PGOWA weights is proved. The equivalence of PGOWA and PMEOWA is proved. With PGOWA operator, we cannot only generate maximum entropy OWA (MEOWA) weights with given orness degree more easily than the methods of Filev and Yager [Inform. Sci. 85 (1995) 11] and Fuller and Majlender [Fuzzy Sets Syst. 124 (1) (2001) 53], but also get the MEOWA weights with given aggregation results for a specific aggregated set. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：163 / 178

页数：16

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