In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces (a function from X to Y is continuous if the inverse image of each open set of Y is open in X) is studied via this new classes of sets. Here the authors also introduce new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set in bitopological space [1] which is a set with two topologies defined on it,

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... en 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. Keywords pj-b-Preopen, pj-b-Semiopen, pj-b-t Set, pj-b-B Set, pj-sb-Generalized Closed, Bitopological Space 2) b-B-set [7] if A U V = ∩ , where U τ ∈ and V is a b-t-set. 3) Locally b-closed [7] if A U V = ∩ , where U τ ∈ and V is a b-closed set.