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On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 18، شماره 5، آذر و دی 2021، صفحه 173-180 اصل مقاله (166.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6263 | ||
| نویسندگان | ||
| T. N. Luan* 1؛ D. H. Hoang2؛ T. M. Thuyet3 | ||
| 1Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam | ||
| 2Eastern International University, Vietnam | ||
| 3Faculty of Mathematics and Statistics, University of Economics Ho Chi Minh City, Vietnam | ||
| چکیده | ||
| In this paper, we introduce the concept of pseudo-continuous semicopula. We show its relationship with continuity in the second variable and provide a characterization of all semicopulas S such that the smallest semicopula-based universal integral is S-homogeneous. This completely solves Open problem 2.29 proposed by J. Borzov´a-Moln´arov´a et al. in the paper [2]. | ||
| کلیدواژه‌ها | ||
| Semicopula؛ the smallest semicopula-based universal integral؛ homogeneity | ||
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آمار تعداد مشاهده مقاله: 161 تعداد دریافت فایل اصل مقاله: 189 |
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