In this paper, we introduce the notions of generalized locally pairwise closed sets, generalized locally pairwise closed star sets,
generalized locally pairwise closed star star sets on bitopological spaces and study some of their properties. The properties of the space (X; 1; 2)
are studied through the study of the space (X; 12) which is a supra topology associated to the bitopological space (X; 1; 2). Also, characterization
of these sets have obtained. Finally, we introduce the notions of GLPC􀀀 ( resp. GLPC;GLPC) (continuous) irresolute functions which based
on these sets and study some of their properties.2010 Mathematics Subject Classication. 54A05, 54XX, 06D72, 54A40, 54E5