On Soft Separation Axioms via Fuzzy α-Open Soft Sets

Authors

A. M. Abd El-latif, Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt.Follow
Rodyna A. Hosny, Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.Follow

Abstract

In the present paper, we continue the study of the properties of fuzzy a-open (closed) soft sets, which were first introduced in [1]. Also, we investigate the concepts of fuzzy a-soft interior (closure), fuzzy a-continuous (open) soft functions and fuzzy a- separation axioms which are important for further research on fuzzy soft topology. In particular we study the relationship between fuzzy a-soft interior fuzzy a-soft closure, which are basic for further research on fuzzy soft topology and will fortify the footing of the theory of fuzzy soft topological space. Further, we study the properties of fuzzy soft a-regular spaces and fuzzy soft a-normal spaces. Moreover, we show that if every fuzzy soft point fe is fuzzy a-closed soft set in a fuzzy soft topological space (X,T,E), then (X,T,E) is fuzzy soft a-T1- (resp. T2-) space.

Recommended Citation

M. Abd El-latif, A. and A. Hosny, Rodyna (2016) "On Soft Separation Axioms via Fuzzy α-Open Soft Sets," Information Sciences Letters: Vol. 5 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol5/iss1/1