University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065415320180630ON Q-BITOPOLOGICAL SPACES6577395010.22111/ijfs.2018.3950ENRanaNoorDepartment of Mathematics, University of Allahabad, Allahabad-211
002, IndiaArun K.SrivastavaDST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, IndiaSheo KumarSinghDepartment of Mathematics, Mahatma Gandhi Central University Bihar, East Champaran-845 401, IndiaJournal Article20160517We study here $T_{0}$-$Q$-bitopological spaces and sober $Q$-bitopological spaces and their relationship with two particular Sierpinski objects in the category of $Q$-bitopological spaces. The epireflective hulls of both these Sierpinski objects in the category of $Q$-bitopological spaces turn out to be the category of $T_0$-$Q$-bitopological spaces. We show that only one of these Sierpinski objects is sober $Q$-bitopological space and its epireflective hull in the category of $T_0$-$Q$-bitopological spaces turns out to be the category of saturated $T_{0}$-$Q$-bitopological spaces.http://ijfs.usb.ac.ir/article_3950_b3b854d1df342577b617d15760e17234.pdf