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L-Normal fuzzy filters of a distributive lattice | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 37، دوره 14، شماره 1، فروردین 2023، صفحه 485-493 اصل مقاله (423.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27889.3748 | ||
| نویسندگان | ||
| Wondwosen Zemene Norahun* 1؛ Gezahagne Mulat Addis1؛ Teferi Getachew Alemayehu2؛ Dereje Kifle Boku3 | ||
| 1Department of Mathematics, University of Gondar, Gondar, Ethiopia | ||
| 2Department of Mathematics, Debre Berhan University, Debre Berhan, Ethiopia | ||
| 3Department of Mathematics, Dilla University, Dilla, Ethiopia | ||
| تاریخ دریافت: 01 مرداد 1401، تاریخ بازنگری: 05 مهر 1401، تاریخ پذیرش: 18 مهر 1401 | ||
| چکیده | ||
| In this paper, we study the concept of L-normal fuzzy filters of distributive lattices in terms of annulates. We also study the special class of fuzzy filters called L-normal fuzzy filters. Further, a set of equivalent conditions are derived for an $ L $-fuzzy filter to be an $ L $-normal fuzzy filter, which leads to a characterization of disjunctive lattices. We observe that every L-normal fuzzy filter is the intersection of all L-prime normal fuzzy filters containing it. Finally, we study the space of $ L $-prime normal fuzzy filters and investigate some of their properties. | ||
| کلیدواژه‌ها | ||
| Distributive lattice؛ normal filter؛ L-fuzzy filter؛ L-normal fuzzy filter؛ L-prime normal fuzzy filter | ||
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