On L-fuzzy interior operators and L-fuzzy quasi-uniform spaces

Article type: Research Article

Authors: Ramadan, A.A.^*

Affiliations: Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Correspondence: [*] Corresponding author: A.A. Ramadan, Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt. Tel.: +201221331694; Fax: +282324551; E-mail: [email protected].

Abstract: In this paper, we study the relationships between L-fuzzy interior spaces, L-fuzzy quasi-uniform spaces andL-fuzzy topological spaces. Also, we introduce the concept of L- fuzzy preinterior spaces and the notions of their continuities are investigated. Finally, we give their examples.

Keywords: Complete residuated lattice, L-fuzzy interior space, L-fuzzy quasi-uniform space, L-fuzzy topological space

DOI: 10.3233/IFS-162120

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3717-3725, 2016