STRATIFIED (L, M)-FUZZY DERIVED SPACES

نویسندگان

1 College of Science, North China University of Technology, Beijing, P. R. China and School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. China

2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. China and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P. R. China

doi
10.22111/ijfs.2018.4118
چکیده

In this paper, the concepts of derived sets and derived operators are generalized to $(L, M)$-fuzzy topological spaces and their characterizations are given.What is more, it is shown that the category of stratified $(L, M)$-fuzzy topological spaces,the category of stratified $(L, M)$-fuzzy closure spaces and the category of stratified $(L, M)$-fuzzy quasi-neighborhood spaces are all isomorphic to the category of stratified $(L, M)$-fuzzy derived spaces.