The Number of Fuzzy Clopen Sets in Fuzzy Topological Spaces

Ali Ahmad Ali Fora^1,

¹Department of Mathematics, Yarmok University, Irbid, Jordan

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

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:
clopen enumerating finite set fuzzy clopen

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