Characterization of Fuzzy T0 and R0 Topological Spaces.

Document Type : Research Studies

Author

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

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.  

Main Subjects