Article
Version 1
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On Fuzzy Locally Convex Spaces
Version 1
: Received: 21 June 2022 / Approved: 22 June 2022 / Online: 22 June 2022 (08:47:09 CEST)
How to cite: Egwe, M.E. On Fuzzy Locally Convex Spaces. Preprints 2022, 2022060311. https://doi.org/10.20944/preprints202206.0311.v1 Egwe, M.E. On Fuzzy Locally Convex Spaces. Preprints 2022, 2022060311. https://doi.org/10.20944/preprints202206.0311.v1
Abstract
In this paper, the concept of fuzzy locally convex spaces generated by a family of fuzzy seminorms is introduced. We prove that a Minkowski functional of zero neighborhoods generates a seminorm and finally deduce that the topology generated by the family of seminorms coincides with that of the Minkowski functional.
Keywords
t-norms; fuzzy seminorm; Minkowski functional; fuzzy topology
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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