Further results on $L$-ordered fuzzifying convergence spaces

نویسندگان

1 Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China

2 Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China

doi
10.22111/ijfs.2016.2289
چکیده

In this paper,  it is shown that the category of $L$-ordered fuzzifying convergence spaces contains the category of pretopological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory and the latter contains the category of topological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory. Also, it is proved that the category of $L$-ordered fuzzifying convergence spaces can be embedded in the category of stratified $L$-ordered convergence spaces as a coreflective subcategory.