Title of article :
Fuzzy simple expansion
Author/Authors :
Abu-Donia, H. M. Zagazig University - Faculty of Science - Department of Mathematics, Egypt , Abu-Donia, H. M. Shaqra University - Faculty of Science - Department of Mathematics, Saudi Arabia , Salama, A. S. Tanta University - Faculty of Science - Department of Mathematics, Egypt , Salama, A. S. Shaqra University - Faculty of Science - Department of Mathematics, Saudi Arabia
Abstract :
In this paper we generalize the concept of simple expansion due to Levine (1964) to the fuzzy setting. Also, we introduce new classes of fuzzy sets, namely fuzzy g-preopen sets, fuzzy weakly g-open sets and fuzzy weakly g-preopen sets. This families not only depend on the fuzzy topology s but also on it simple expansion and we study their fundamental properties.
Keywords :
Fuzzy set , Fuzzy preopen set , Fuzzy simple expansion , Fuzzy open function , Preopen function , Weakly preopen function
Journal title :
Journal Of King Saud University - Science
Journal title :
Journal Of King Saud University - Science
