1. Fuzzy Extended Filters oF MS-Algebras
- Author
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Gaber, Ahmed, Seoud, M. A., and Tarek, Mona
- Subjects
Mathematics - General Mathematics ,94D05, 06D99 ,G.2.1 - Abstract
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
- Published
- 2023