Quasi-copulas as linear combinations of copulas

被引：3

作者：

Dolinar, Gregor ^{[1
,2
]}

Kuzma, Bojan ^{[2
,3
]}

Stopar, Nik ^{[2
,4
]}

机构：

[1] Univ Ljubljana, Fac Elect Engn, Ljubljana, Slovenia

[2] Inst Math Phys & Mech, Ljubljana, Slovenia

[3] Univ Primorska, Fac Math, Nat Sci & Informat Technol, Koper, Slovenia

[4] Univ Ljubljana, Fac Civil & Geodet Engn, Ljubljana, Slovenia

来源：

FUZZY SETS AND SYSTEMS | 2024年 / 477卷

关键词：

Quasi-copula; Copula; Linear combination; Affine combination; Minkowski norm; BOUNDS;

D O I：

10.1016/j.fss.2023.108821

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove that every quasi-copula can be written as a uniformly converging infinite sum of multiples of copulas. Furthermore, we characterize those quasi-copulas which can be written as a finite sum of multiples of copulas, i.e., that are a linear combination of two copulas. This generalizes a recent result of Fernandez-Sanchez, Quesada-Molina, and ubeda-Flores who considered linear combinations of discrete copulas.

引用

页数：15

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