Abstract
Project Number
Nos.12371462；No.2019zy20
References
- [1] J.M. Fang, Stratified L-ordered convergence structures, Fuzzy Sets Syst. 161, 2130– 2149, 2010.
Abstract
In this paper, M-fuzzifying convexity-preserving mappings between M-fuzzifying convergence spaces, and M-fuzzifying closure-preserving mappings between M-fuzzifying preconvex closure spaces are proposed. The relationships of M-fuzzifying convexity-preserving mappings with M-CP mappings, M-fuzzifying preconvex closure operators, and separation properties in M-fuzzifying convergence spaces are discussed. Moreover, it is proved that S_0, S_1 and S_2 separation properties are preserved by homeomorphisms in M-fuzzifying convergence spaces.
Keywords
M-fuzzifying convergence space M-fuzzifying convexity-preserving mapping M-fuzzifying preconvex closure space M-fuzzifying closure-preserving mapping separation axioms
Ethical Statement
This study does not involve human or animal experimentation, and the authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Supporting Institution
This research was funded by the National Natural Science Foundation of China (Nos.12371462) and the Fundamental Research Funds for the Central Universities (No.2019zy20).
Project Number
Nos.12371462；No.2019zy20
Thanks
We would like to thank the referees and the editor for their constructive suggestions.
References
- [1] J.M. Fang, Stratified L-ordered convergence structures, Fuzzy Sets Syst. 161, 2130– 2149, 2010.
Details
| Primary Language | English |
|---|---|
| Subjects | Operator Algebras and Functional Analysis, Topology |
| Journal Section | Mathematics |
| Authors | |
| Project Number | Nos.12371462；No.2019zy20 |
| Early Pub Date | April 11, 2025 |
| Publication Date | |
| Submission Date | October 27, 2024 |
| Acceptance Date | December 2, 2024 |
| Published in Issue | Year 2025 Early Access |