In the present paper, we introduce new types of generalized closed sets called ij -pre-generalized closed sets and study some of their properties in bitopological spaces. Also, we use them to construct new types of separation axioms. Further, we introduce and study the concepts of pairwise operation pc-open sets and pairwise operation pc-separation axioms in bitopological spaces. Several interesting characterizations of different spaces are discussed. The relationships between these spaces are given.

DOI: 10.2478/tmmp-2023-0027