University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065413420160830Stratified $(L,M)$-fuzzy Q-convergence spaces95111259810.22111/ijfs.2016.2598ENBinPangShenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. ChinaYiZhaoShenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. ChinaJournal Article20151006This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $(L,M)$-fuzzy topological spaces can be embedded in the category of stratified $(L,M)$-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified $(L,M)$-fuzzy Q-convergence spaces.http://ijfs.usb.ac.ir/article_2598_1c939cd4dac89ee78894504a9620668f.pdf