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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
FUZZY BARRELS ON LOCALLY CONVEX FUZZY TOPOLOGICAL VECTOR SPACES
Type
JournalPaper
Keywords
polar fuzzy sets, fuzzy barrel, fuzzy barrelled spaces
Year
2020
Journal Miskolc Mathematical Notes
DOI
Researchers Bayaz Daraby ، ، Asghar Rahimi

Abstract

Abstract. In this paper, we introduce the concept of fuzzy barrels on locally convex fuzzy to pological vector spaces. We present some characterizations of the fuzzy locally convex spaces, which are fuzzy barrelled. Using fuzzy barrels, we prove that the same fuzzy sets are bounded in any fuzzy topology of dual pair. Finally, we prove the Banach-Steinhaus theorem for the fuzzy topological vector spaces.