Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section

被引：31

作者：

Klement, Erich Peter ^{[1
]}

Kolesarova, Anna

机构：

[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, Linz, Austria

[2] Slovak Tech Univ Bratislava, Fac Chem & Food Technol, Dept Math, Bratislava, Slovakia

来源：

MONATSHEFTE FUR MATHEMATIK | 2007年 / 152卷 / 02期

关键词：

1-Lipschitz aggregation operator; copula; quasi-copula; affine section;

D O I：

10.1007/s00605-007-0460-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Best lower and upper bounds for 1-Lipschitz aggregation operators with a given affine section are given. These are used to determine best bounds for quasi-copulas and copulas with a given affine section. However, in general there is no greatest copula with a given non-decreasing affine section. These results are used to study (quasi-)copulas with arbitrary affine sections.

引用

页码：151 / 167

页数：17

共 8 条

[1] 1-Lipschitz aggregation operators, quasi-copulas and copulas with given opposite diagonal
Klement, EP
Kolesárová, A
COMPUTATIONAL INTELLIGENCE, THEORY AND APPLICATIONS, 2005, : 565 - 571
[2] 1-Lipschitz aggregation operators and quasi-copulas
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KYBERNETIKA, 2003, 39 (05) : 615 - 629
[3] Extension to copulas and quasi-copulas as special 1-Lipschitz aggregation operators
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KYBERNETIKA, 2005, 41 (03) : 329 - 348
[4] On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas
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[5] ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION
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[6] On the Structure of the Classes of Copulas and Quasi-Copulas with a Given Diagonal Section
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[8] Best-possible bounds on the sets of copulas and quasi-copulas with given curvilinear sections
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Sun, Liulei
Xie, Jiehua
FUZZY SETS AND SYSTEMS, 2022, 441 : 335 - 365

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