In this paper, we study the structure of pseudo-BF/BF*-algebra as a generalization of BF-algebra. We show how pseudo-BF/BF*-algebra and pseudo-BCK-algebra are related. Westudy some elementary properties related to pseudo-BF-algebra and pseudo-BF*-algebra.

<abstract><p>In the present article, a new category of mathematical structure is described based on the topological structure "primal" and the notion of "generalized". Such a structure is discussed in detail in terms of topological properties and some basic theories. Also, we introduced some operators using the concepts "primal" and "generalized primal neighbourhood", which have a lot of nice properties.</p></abstract>

In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces ] which is a set with two topologies defined on it, then they study the notion of continuity via this set and introduce some of the theories which are studying the decomposition of continuity via this set in bitopological space.