Fuzzy $\alpha$-ideals and $\alpha$-congruences

	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
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
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