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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Language: | English |
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Wiley
2018-01-01
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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. |
format | Article |
id | doaj-art-ddb94da3023d417ab7c47450ba0059c2 |
institution | Kabale University |
issn | 2314-4629 2314-4785 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
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 |