On a F-pseudo Z-b-subalgebra

The document outlined the definition of F-pseudo Z-b-subalgebra in addition to introducing fundamental properties. Multiple theorems have been established throughout the discussion using appropriate examples. We introduced a new concept after presenting the material.: (fuzzy set μdz fj) of pseudo Z-algebra. This research examines both the homomorphic images and inverse images from this study. We denote b-sg to represent b-subalgebra in this article.