Characterization of Fuzzy T0 and R0 Topological Spaces.

Authors

Moustafa Amer, Assistant professor of Mathematics and Physical Science Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Corresponding Author

Amer, Moustafa

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

Abstract

Many authors investigated fuzzy To and fuzzy Ro spaces depending upon the ordinary points of a set and not the fuzzy points. It is the purposeof this note to suggest new definitions of fuzzy To and fuzzy Ro - spaces using Wong definition of fuzzy points. It will be also shown that these new definitions are equivalent to those introduced by srivastava. Moreover the properties of To - ness and Ro - ness are shown to be both productive and hereditary and that a topologically generated fuzzy topological space .is To or Ro if the original topological . space is To or Ro, respectively.

Recommended Citation

Amer, Moustafa (2020) "Characterization of Fuzzy T0 and R0 Topological Spaces.," Mansoura Engineering Journal: Vol. 19 : Iss. 1 , Article 18.
Available at: https://doi.org/10.21608/bfemu.2021.163364