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.
Categories: math.GM