On an idempotent transformation of aggregation functions and its application on absolutely continuous Archimedean copulas

被引：10

作者：

De Baets, B. ^{[1
]}

De Meyer, H. ^{[2
]}

Diaz, S. ^{[3
]}

机构：

[1] Univ Ghent, Dept Appl Math Biometr & Proc Control, B-9000 Ghent, Belgium

[2] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium

[3] Univ Oviedo, Dept Stat & OR, Fac Sci, Oviedo 33007, Spain

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 06期

关键词：

Absolutely continuous copula; Archimedean copula; Binary aggregation function; Conjunctor; Copula; Frank copula; Projection; Quasi-copula; Semi-copula; Transitivity; FUZZY; DECOMPOSITION;

D O I：

10.1016/j.fss.2008.04.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we isolate an interesting transformation of binary aggregation functions from a result on the propagation of transitivity in additive preference structures. This transformation is based on a projection technique and results in a smaller (or equal) binary aggregation function. The transformation is idempotent and acts internally on the classes of conjunctors, semi-copulas and quasi-copulas. Hence, also copulas are transformed into quasi-copulas, but in general not into copulas. Remarkably, the Frank copulas are mapped to new copulas. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：733 / 751

页数：19

共 32 条

[1] ON THE CHARACTERIZATION OF A CLASS OF BINARY OPERATIONS ON DISTRIBUTION-FUNCTIONS [J].