Abstract
The concept of intuitionistic topological space was introduced by Çoker. The aim
 of this paper is to generalize notions between bitopological spaces and double topological
 spaces and also give a notion of pairwise locally compact and compactification for doubletopological
 spaces.
Highlights
The concept of a fuzzy topology introduced by Çhange[8], after the introduction of fuzzy sets by Zadeh
Later this concept was extended to intuitionistic fuzzy topological spaces by Çoker in [10]
Rodabaugh [15 ] thatis a more appropriate name than,and adopt the term for the intuitionistic set, and for the intuitionistic topology of Dogan Çoker, we denote by Dbl-Top the construct
Summary
The concept of a fuzzy topology introduced by Çhange[8] , after the introduction of fuzzy sets by Zadeh. [13] A double-topology (DT in brief) on a set X is a family of DS’s in X satisfying the following axioms: T1: , X , ~~ A of a DOS A in a DTS is called a double closed set (DCS in brief) in X.
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