title: Weak forms of continuity in I-double gradation fuzzy topological spaces.
abstract: In this paper, we introduce and characterize double fuzzy weakly preopen and double fuzzy weakly preclosed functions between I-double gradation fuzzy topological spaces and also study these functions in relation to some other types of already known functions.
authors.affiliation: Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt ; Department of Mathematics, College of Science in Al-Zulfi, Majmaah University, Al-Zulfi, Kingdom of Saudi Arabia.
authors.forename: A
authors.initials: A
authors.lastname: Ghareeb