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Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 19، شماره 1، فروردین و اردیبهشت 2022، صفحه 125-140 اصل مقاله (204.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6556 | ||
| نویسنده | ||
| E. Asici* | ||
| Department of Software Engineering, Faculty of Technology, Karadeniz Technical University, 61830 Trabzon, Turkey | ||
| چکیده | ||
| In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods by Ertu\u{g}rul, Kara\c{c}al, Mesiar \cite{Ertugrul} and \c{C}ayl{\i} \cite{Gul} as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and t-conorms on bounded lattices. This paper has further constructed the t-norms and t-conorms on bounded lattices from a mathematical viewpoint. | ||
| کلیدواژه‌ها | ||
| Bounded lattice؛ t-norms؛ t-conorms | ||
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آمار تعداد مشاهده مقاله: 68 تعداد دریافت فایل اصل مقاله: 167 |
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