Topologies induced by pointwise L-fuzzifying quasi-uniformities

Article type: Research Article

Authors: Pang, Bin^{a; b} | Zhao, Yi^{a; *}

Affiliations: [a] Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China

Correspondence: [*] Corresponding author. Yi Zhao, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, P.R. China. E-mail: [email protected].

Abstract: Based on a completely distributive De Morgan algebra L, the notion of pointwise L-fuzzifying (quasi-)uniformity is introduced. It is shown that a pointwise L-fuzzifying quasi-uniformity U can induce two L-fuzzifying topologies τU and ηU, and the relations between τU and ηU are investigated.

Keywords: L-fuzzifying topology, pointwise L-fuzzifying (quasi-)uniformity, L-fuzzifying interior, L-fuzzifying closure

DOI: 10.3233/IFS-152019

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 3025-3031, 2016