Weak fuzzy topology on vector spaces | Zendy

Bayaz Daraby | Zendy; N. Khosravi | Zendy; Asghar Rahimi | Zendy

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Weak 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.

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