On Pairwise Semi-Generalized Closed Sets

Fukutake introduced and investigated the notion ofgeneralized closed sets in bitopological spaces. We also use theseconcepts to introduce the new notions of some operator as well as ijgeneralizedsemi-closure, ij-semi-generalized closure, ij-generalizedsemi-interior and ij-semi-generalized interior. As continuation of thestudy of generalized closed sets in bitopological spaces, in this paper,we introduce and study the class of semi-generalized closed setswhich are properly placed between the classes of generalized semiclosedsets and semi-closed sets. We shall consider a fundamentalproperty of pairwise semi-generalized closed sets. Applying pairwisesemi-generalized closed set, we investigate the notion of pairwisesemi 1 / 2 T -space. Also, we introduce ij-semi-generalized continuousmaps and ij-semi-generalized irresolute maps.