This paper introduces the concept of extreme fuzzy PUP ideals within the framework of a PUP algebra. Building on this concept, we investigate a fuzzy uniform structure applicable to PUP-algebras. We then delve into the idea of a fuzzy uniform topological PUP algebra, which is a PUP algebra equipped with a distinctive fuzzy topology that ensures the continuity of both binary operations in a fuzzy topological sense. This approach broadens the scope of fuzzy uniform topological PUP-algebra, leading to the derivation of numerous properties of fuzzy topological PUP algebras.