Linear fuzzifying uniformities

• Published in: Journal of intelligent & fuzzy systems Vol. 40; no. 6; pp. 10453 - 10464
• Main Authors: Jin, Zhen-Yu, Yan, Cong-Hua
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.01.2021; Sage Publications Ltd
• Subjects: Topology; Vector spaces; fuzzy norm; Linear fuzzifying uniformity; linear fuzzifying topology; complete boundedness; Hausdorff separation axiom

The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity defined over a linear space is translation-invariant, balanced and absorbed, then it generates a linear fuzzifying topology. From this linear fu...