Characterization of Bivariate Quadratic Transformations of Quasi-copulas
Publish place: Iranian Journal of Fuzzy Systems، Vol: 20، Issue: 4
Publish Year: 1402
Type: Journal paper
Language: English
View: 148
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Document National Code:
JR_IJFS-20-4_012
Index date: 17 July 2023
Characterization of Bivariate Quadratic Transformations of Quasi-copulas abstract
In this study, we focus on bivariate transformations of trivariate quasi-copulas. We characterize necessary and sufficient conditions of transformations that can be written in the form of compositions between two quasi-copulas and a quadratic polynomial function. The conditions only depend on the coefficients of the quadratic polynomial. The set of these coefficients is convex with linear-section boundary and it lies on the seven-dimensional Euclidean space. All extreme points of this set have been characterized via CAS and can be used to construct quasi-copulas. Construction examples are also given.
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Characterization of Bivariate Quadratic Transformations of Quasi-copulas authors
Pattira Tongjundee
Department of Mathematics, Faculty of Science, Chiang Mai University
Varayut Boonyasri
Department of Mathematics, Faculty of Science, Chiang Mai University
Santi Tasena
Department of Mathematics, Faculty of Science, Chiang Mai University
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