Orness and parameterized RIM quantifier aggregation with OWA operators: A summary

被引：108

作者：

Liu, Xinwang ^{[1
]}

Han, Shilian ^{[2
]}

机构：

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

[2] Nanjing Univ Finance & Econ, Sch Marketing & Logist, Nanjing 210046, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2008年 / 48卷 / 01期

基金：

中国国家自然科学基金;

关键词：

aggregation; ordered weighted average (OWA) operator; Regular Increasing Monotone (RIM) quantifier; generating function; orness; decision making;

D O I：

10.1016/j.ijar.2007.05.006

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A necessary and sufficient condition for the ordered weighted average (OWA) aggregation value of an arbitrary aggregated set to consistently increase with the orness level is proposed. The OWA operator properties associated with the orness level are extended. Then, with the generating function representation of Regular Increasing Monotone (RIM) quantifier, all these conditions and properties are extended to the case of RIM quantifiers, which can be seen as the continuous OWA operator with free dimension. Some families of consistency RIM quantifiers and their corresponding OWA operators are summarized. Some existing linguistic term RIM quantifiers are collected and two parameterized generalization forms of them are proposed, which can be useful for the selection and comparison of the linguistic quantifier in theory and applications. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：77 / 97

页数：21

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