Degrees of continuous mappings, open mappings, and closed mappings in L-fuzzifying topological spaces

Article type: Research Article

Authors: Pang, Bin

Affiliations: School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China

Note: [] Corresponding author. Bin Pang, School of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: pangbin1205@163.com

Abstract: In this paper, we introduce L-continuity degree, L-openness degree, L-closedness degree of mappings between L-fuzzifying topological spaces. Moreover, we show that most of elementary results related to continuous mappings, open mappings, and closed mappings in general topology can be extended to L-fuzzifying topological spaces by means of the graded concepts.

Keywords: L-fuzzifying topological space, L-continuity degree, L-openness degree, L-closedness degree

DOI: 10.3233/IFS-131038

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 805-816, 2014