ARTICLE | doi:10.20944/preprints202206.0311.v1
Subject: Computer Science And Mathematics, Analysis Keywords: t-norms; fuzzy seminorm; Minkowski functional; fuzzy topology
Online: 22 June 2022 (08:47:09 CEST)
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.