Fuzzy Extended Filters oF MS-Algebras

Ahmed Gaber; M. A. Seoud; Mona Tarek

Fuzzy Extended Filters oF MS-Algebras

General Mathematics 2023-08-31 v1

Authors: Ahmed Gaber , M. A. Seoud , Mona Tarek

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.

Keywords

ms-algebra fuzzy filter extended fuzzy filter strong fuzzy filter dense element homomorphism

Cite

@article{arxiv.2308.15565,
  title  = {Fuzzy Extended Filters oF MS-Algebras},
  author = {Ahmed Gaber and M. A. Seoud and Mona Tarek},
  journal= {arXiv preprint arXiv:2308.15565},
  year   = {2023}
}

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12pages

Fuzzy Extended Filters oF MS-Algebras

Abstract

Keywords

Cite

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