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Fuzzy $\alpha$-ideals and $\alpha$-congruences | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 118، دوره 13، شماره 2، مهر 2022، صفحه 1455-1464 اصل مقاله (409.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23032.2463 | ||
| نویسنده | ||
| Natnael Teshale Amare* | ||
| Department of Mathematics, College of Natural and Computational Sciences, University of Gondar, Ethiopia | ||
| تاریخ دریافت: 12 فروردین 1400، تاریخ بازنگری: 08 خرداد 1400، تاریخ پذیرش: 22 خرداد 1400 | ||
| چکیده | ||
| In this paper, we introduce $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on ADL $A$ and we discuss the properties of these. Also, we prove that the homomorphic image and pre-image of an $L$-fuzzy $\alpha-$congruence is also an $L$-fuzzy $\alpha-$congruence on $A$ under certain conditions. Finally, we establish a one-to-one correspondence between $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on $A$. | ||
| کلیدواژهها | ||
| Almost Distributive Lattice (ADL)؛ $L$-fuzzy $alpha-$ideal؛ $L$-fuzzy $alpha-$congruence | ||
| مراجع | ||
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