STRATIFIED (L, M)-FUZZY DERIVED SPACES

Authors

  • Fu-Gui Shi 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
  • Yu Zhong 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
Abstract:

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.

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Journal title

volume 15  issue 4

pages  109- 127

publication date 2018-08-30

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