Some Topological Properties of Fuzzy Antinormed Linear Spaces

The definition of fuzzy antinorm is modified. Some topological properties of finite dimensional fuzzy antinormed linear space are studied. Fuzzy anticonvergence and statistical fuzzy anticonvergence are defined and their properties are studied. We also discuss some boundedness properties in fuzzy an...

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Main Author: Ljubiša D. R. Kočinac
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/9758415
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author Ljubiša D. R. Kočinac
author_facet Ljubiša D. R. Kočinac
author_sort Ljubiša D. R. Kočinac
collection DOAJ
description The definition of fuzzy antinorm is modified. Some topological properties of finite dimensional fuzzy antinormed linear space are studied. Fuzzy anticonvergence and statistical fuzzy anticonvergence are defined and their properties are studied. We also discuss some boundedness properties in fuzzy antinormed linear spaces.
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issn 2314-4629
2314-4785
language English
publishDate 2018-01-01
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spelling doaj-art-ddb94da3023d417ab7c47450ba0059c22025-02-03T01:11:09ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/97584159758415Some Topological Properties of Fuzzy Antinormed Linear SpacesLjubiša D. R. Kočinac0University of Niš, Faculty of Sciences and Mathematics, 18000 Niš, SerbiaThe definition of fuzzy antinorm is modified. Some topological properties of finite dimensional fuzzy antinormed linear space are studied. Fuzzy anticonvergence and statistical fuzzy anticonvergence are defined and their properties are studied. We also discuss some boundedness properties in fuzzy antinormed linear spaces.http://dx.doi.org/10.1155/2018/9758415
spellingShingle Ljubiša D. R. Kočinac
Some Topological Properties of Fuzzy Antinormed Linear Spaces
Journal of Mathematics
title Some Topological Properties of Fuzzy Antinormed Linear Spaces
title_full Some Topological Properties of Fuzzy Antinormed Linear Spaces
title_fullStr Some Topological Properties of Fuzzy Antinormed Linear Spaces
title_full_unstemmed Some Topological Properties of Fuzzy Antinormed Linear Spaces
title_short Some Topological Properties of Fuzzy Antinormed Linear Spaces
title_sort some topological properties of fuzzy antinormed linear spaces
url http://dx.doi.org/10.1155/2018/9758415
work_keys_str_mv AT ljubisadrkocinac sometopologicalpropertiesoffuzzyantinormedlinearspaces