M-fuzzifying Bryant-Webster spaces and M-fuzzifying join spaces

Article type: Research Article

Authors: Wu, Xiu-Yun^{a; b; *} | Shi, Fu-Gui^a

Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China | [b] School of Science, Hunan Institute of Science and Engineering, Yongzhou, China

Correspondence: [*] Corresponding author. Xiu-Yun Wu. E-mail: wuxiuyun2000@huse.com.

Abstract: In M-fuzzifying interval spaces, some properties, including M-fuzzifying dense property, M-fuzzifying decomposable property, M-fuzzifying ramification property and M-fuzzifying straight property, are introduced and their relations are studied. Based on these properties, notions of M-fuzzifying Bryant-Webster spaces and M-fuzzifying join spaces are introduced. It is proved that the category of M-fuzzifying Bryant-Webster spaces and M-fuzzifying convexity preserving mappings can be characterized by the category of M-fuzzifying join spaces and M-fuzzifying join preserving mappings.

Keywords: M-fuzzifying interval space, M-fuzzifying convex space, M-fuzzifying Byrant-Webster space, M-fuzzifying join space

DOI: 10.3233/JIFS-18690

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3807-3819, 2018