Characterization of bivariate quadratic transformations of quasi-copulas

被引：0
|
作者：
Tongjundee, P. [1 ]
Boonyasri, V. [2 ]
Tasena, S. [2 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Grad Degree Program Math, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2023年 / 20卷 / 04期
关键词：
Aggregation function; quasi-copula; quadratic transformation; AGGREGATION FUNCTIONS; CONSTRUCTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：165 / 178
页数：14
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