Zahan, R. Nasrin*

Abstract Topology has enormous applications on fuzzy set. An attention can be brought to the mathematicians about these topological applications on fuzzy set by this article. In this research, first we have classified the fuzzy sets and topological spaces, and then we have made relation between elements of them. For expediency, with mathematical view few basic definitions about crisp set and fuzzy set have been recalled. Then we have discussed about topological spaces. Finally, in the last section, the fuzzy topological spaces which is our main object we have developed the relation between fuzzy sets and topological spaces. Moreover, this article has been concluded with the examination of some of its properties and certain relationships among the closure of these spaces.

Keywords Topological Space, Fuzzy Set, Topological Fuzzy Set, Closure Fuzzy Topological Set

Zahan, R. Nasrin^* Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka, Bangladesh.
DOI: 10.4236/apm.2021.115034PDF   HTML   XML   266 Downloads   2.151 Views   Citations

Share and Cite: Zahan, I. and Nasrin, R. (2021) An Introduction to Fuzzy Topological Spaces. Advances in Pure Mathematics, 11, 483-501. doi: 10.4236/apm.2021.115034.

Advances in Pure Mathematics > Vol.11 No.5, May 2021

https://www.scirp.org/journal/paperinformation.aspx?paperid=109282