Open AccessWeak fuzzy topology on vector spaces
Author(s) -
Bayaz Daraby,
N. Khosravi,
Asghar Rahimi
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102501d
Subject(s) - mathematics , weak topology (polar topology) , topology (electrical circuits) , extension topology , initial topology , general topology , product topology , topological space , fuzzy logic , topological vector space , discrete mathematics , combinatorics , computer science , artificial intelligence
In this paper, we study the concept of weak linear fuzzy topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this fuzzy topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) endowed with its usual fuzzy topology. In the case that the fuzzy topology of K is different from the usual fuzzy topology, we show that the weak fuzzy topology is not equivalent with the fuzzy topology of weakly lower semi-continuous fuzzy sets.