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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: [email protected]
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
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