On CDH fuzzy spaces

Article type: Research Article

Authors: Al Ghour, Samer^{a; *} | Fora, Ali^b

Affiliations: [a] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan | [b] Department of Mathematics, Yarmouk University, Irbid, Jordan

Correspondence: [*] Corresponding author. Samer Al Ghour, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan. Tel.: +962785984785; Fax: +96227201071; E-mail: algore@just.edu.jo.

Abstract: We extend the concept of being countable dense homogeneous to include fuzzy topological spaces. Our extension is proved to be a good extension in the sense of Lowen. We study the relation between fuzzy CDH spaces and some ordinary topological spaces generated by these fuzzy spaces.

Keywords: Homogeneity, countable dense homogeneity, fuzzy topological spaces, good extension

DOI: 10.3233/IFS-151815

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 935-941, 2016