L-fuzzifying topological vector spaces
The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2081 |
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| _version_ | 1832546627714285568 |
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| author | Cong-Hua Yan Cong-Xin Wu |
| author_facet | Cong-Hua Yan Cong-Xin Wu |
| author_sort | Cong-Hua Yan |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of
L-fuzzifying topological vector spaces is topological over the category of vector spaces is proved. |
| format | Article |
| id | doaj-art-ba0c06802c7b4cb69241818e4ac767b1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ba0c06802c7b4cb69241818e4ac767b12025-02-03T06:47:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005132081209310.1155/IJMMS.2005.2081L-fuzzifying topological vector spacesCong-Hua Yan0Cong-Xin Wu1Department of Mathematics, Nanjing Normal University, Jiangsu, Nanjing 210097, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of L-fuzzifying topological vector spaces is topological over the category of vector spaces is proved.http://dx.doi.org/10.1155/IJMMS.2005.2081 |
| spellingShingle | Cong-Hua Yan Cong-Xin Wu L-fuzzifying topological vector spaces International Journal of Mathematics and Mathematical Sciences |
| title | L-fuzzifying topological vector spaces |
| title_full | L-fuzzifying topological vector spaces |
| title_fullStr | L-fuzzifying topological vector spaces |
| title_full_unstemmed | L-fuzzifying topological vector spaces |
| title_short | L-fuzzifying topological vector spaces |
| title_sort | l fuzzifying topological vector spaces |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2081 |
| work_keys_str_mv | AT conghuayan lfuzzifyingtopologicalvectorspaces AT congxinwu lfuzzifyingtopologicalvectorspaces |