Weighted Quasi-Arithmetic Means and the Domain Translations

被引：0
|
作者：
Yoshida, Yuji [1 ]
机构：
[1] Univ Kitakyushu, Fac Econ & Business Adm, 4-2-1 Kitagata, Kitakyushu, Fukuoka 8028577, Japan
来源：
JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS | 2012年 / 16卷 / 01期
关键词：
weighted quasi-arithmetic mean; utility functions; weighting functions; domain translations; indices translation;
D O I：
10.20965/jaciii.2012.p0148
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The monotonicity of the weighted quasi-arithmetic means is discussed from the viewpoint of utility functions and weighting functions. Observing the indices given by utility functions and weighting functions, we find that these indices give similar monotonicity for the weighted quasi-arithmetic means, and this paper investigates the reason using the direct domain translation adapted to the weighted quasi-arithmetic means. Further, general domain translations are introduced and they are discussed in relation to these indices. Some examples are given for the domain translations and as a special case the translation invariance is presented, and a lot of examples with various utility functions and weighting functions are shown, and their indices and the translated forms are derived.
引用
收藏
页码：148 / 153
页数：6
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