On initial and final linear fuzzifying uniformities

Article type: Research Article

Authors: Jin, Zhen-yu^a | Yan, Cong-hua^{b; *}

Affiliations: [a] School of Math. Sciences, Suzhou University of Science and Technology, Suzhou, Jiangsu, China | [b] Institute of Math., School of Math. Sciences, Nanjing Normal University, Nanjing Jiangsu, People’s Republic of China

Correspondence: [*] Corresponding author. Cong-hua Yan, Institute of Math., School of Math. Sciences, Nanjing Normal University, Nanjing Jiangsu 210023, People’s Republic of China. E-mail: chyan@njnu.edu.cn.

Abstract: The main purpose of this paper is to study initial and final Hutton type of linear fuzzifying uniformities. The detailed characterizations of initial and final linear fuzzifying uniformities are obtained. In addition, the boundedness, complete boundedness and T2 separation axiom of initial linear fuzzifying uniform spaces are investigated. Some examples with respect to initial and final linear fuzzifying uniformities are also provided.

Keywords: Initial linear fuzzifying uniformities, final linear fuzzifying uniformities, boundedness, complete boundedness, T₂ separation axiom

DOI: 10.3233/JIFS-211960

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 6, pp. 5501-5509, 2022