2024 : 11 : 23
Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Research

Title
Weak Fuzzy Topology on Vector Spaces
Type
JournalPaper
Keywords
Fuzzy topology, weak fuzzy topology, duality
Year
2021
Journal Filomat
DOI
Researchers Bayaz Daraby ، ، Asghar Rahimi

Abstract

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 di erent 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.