# Fuzzy Semi Open Soft Sets Related Properties in Fuzzy Soft Topological Spaces

Volume 13, Issue 2, pp 94-114 Publication Date: November 23, 2014
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### Authors

A. Kandil - Mathematics Department, Faculty of Science, Helwan University, Helwan, Egypt. O. A. E. Tantawy - Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt. S. A. El-sheikh - Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt. A. M. Abd El-latif - Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt.

### Abstract

In the present paper, we continue the study on fuzzy soft topological spaces and investigate the properties of fuzzy semi open (closed) soft sets, fuzzy semi soft interior (closure), fuzzy semi continuous (open) soft functions and fuzzy semi separation axioms which are important for further research on fuzzy soft topology. In particular, we study the relationship between fuzzy semi soft interior fuzzy semi soft closure. Moreover, we study the properties of fuzzy soft semi regular spaces and fuzzy soft semi normal spaces. This paper, not only can form the theoretical basis for further applications of topology on soft sets, but also lead to the development of information systems.

### Keywords

• Soft set
• Fuzzy soft set
• Fuzzy soft topological space
• Fuzzy semi soft interior
• Fuzzy semi soft closure
• Fuzzy semi open soft
• Fuzzy semi closed soft
• Fuzzy semi continuous soft functions
• Fuzzy soft semi separation axioms
• Fuzzy soft semi regular
• Fuzzy soft semi $T_i$-spaces (i =1،2،3،4)
• Fuzzy soft semi normal.

•  54A40
•  54A05
•  06D72

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