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(2211-7733) Characterization of bivariate quadratic transformations of quasi-copulas | ||
| Iranian Journal of Fuzzy Systems | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 اردیبهشت 1402 اصل مقاله (190.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7596 | ||
| نویسندگان | ||
| P. Tongjundee1؛ V. Boonyasri2؛ S. Tasena* 2 | ||
| 1Graduate Degree Program in Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand | ||
| 2Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand | ||
| 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 | ||
| Aggregation function؛ quasi-copula؛ quadratic transformation | ||
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