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Characterization of Bivariate Quadratic Transformations of Quasi-copulas | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 20، شماره 4، مهر و آبان 2023، صفحه 165-178 اصل مقاله (190.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.43923.7733 | ||
| نویسندگان | ||
| Pattira Tongjundee؛ Varayut Boonyasri؛ Santi Tasena* | ||
| Department of Mathematics, Faculty of Science, Chiang Mai University | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Keywords: aggregation function؛ quasi-copula؛ quadratic transformation | ||
| مراجع | ||
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