journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1857 Fuzzy extended filters of MS-algebras Gaber Ahmed Department of Mathematics, Ain Shams University, Cairo, 11566, Egypt Mathematics Education Program, Sohar University, Sohar, 3111, Oman Seoud M. A. Department of Mathematics, Ain Shams University, Cairo, 11566, Egypt Tarek Mona Department of Mathematics, Ain Shams University, Cairo, 11566, Egypt 28 1 87 100 28 02 2025

In this article, extended fuzzy filter of s fuzzy filter χ  is presented, notated by  γχ,W  with W ⸦ L.  The features of γχ,W  are investigated. Furthermore, the strong fuzzy filter is introduced, donated by Ωχ,W  Many properties are studied. Characterisation of both γχ,W, Ωχ,W  are clarified by using the notion of dense elements with respect to a fuzzy filter. The homomorphisms of both γχ,W  and Ωχ,W are triggered

 Bounded distributive lattice MS-algebras Fuzzy lattice Fuzzy filter Homomorphism access open retracted no