Article citationsMore >>

C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24(1968). 182-190.

has been cited by the following article:

Article

The Number of Fuzzy Clopen Sets in Fuzzy Topological Spaces

1Department of Mathematics, Yarmok University, Irbid, Jordan


Journal of Mathematical Sciences and Applications. 2017, Vol. 5 No. 1, 24-26
DOI: 10.12691/jmsa-5-1-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
Ali Ahmad Ali Fora. The Number of Fuzzy Clopen Sets in Fuzzy Topological Spaces. Journal of Mathematical Sciences and Applications. 2017; 5(1):24-26. doi: 10.12691/jmsa-5-1-4.

Correspondence to: Ali  Ahmad Ali Fora, Department of Mathematics, Yarmok University, Irbid, Jordan. Email: afora_jo@yahoo.com

Abstract

We show the number of fuzzy clopen sets in an arbitrary fuzzy topological space can be any natural number greater than 1 if it is finite. We give an upper bound for this number. We shall also prove that the number of all crisp fuzzy clopen sets in an arbitrary fuzzy topological space is a power of 2 if it is finite.

Keywords