Fuzzy Extended Filters oF MS-Algebras

التفاصيل البيبلوغرافية
العنوان: Fuzzy Extended Filters oF MS-Algebras
المؤلفون: Gaber, Ahmed, Seoud, M. A., Tarek, Mona
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - General Mathematics, 94D05, 06D99, G.2.1
الوصف: In this article, for an $\emph{MS}$- algebra and a fuzzy filter $\chi $, the concept of extended fuzzy filter of $\chi$ is presented, notated by $ \Upsilon_{\chi,W}$ with $W \subseteq \mathcal{L}$. The features of $\Upsilon_{\chi,W}$ are investigated. Furthermore, the strong fuzzy filter is introduced, donated by $\Omega_{\chi,W}$. Many properties are studied. Characterisation of both $ \Upsilon_{\chi,W}, \Omega_{\chi,W}$ are clarified by using the notion of dense elements with respect to a fuzzy filter. The homomorphisms of both $\Upsilon_{\chi,W}$ and $\Omega_{\chi,W}$ are triggered.
Comment: 12pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2308.15565
رقم الأكسشن: edsarx.2308.15565
قاعدة البيانات: arXiv