Connectedness Degrees in L-Fuzzy Topological Spaces
The notion of separatedness degrees of L-fuzzy subsets is introduced in L-fuzzy topological spaces by means of L-fuzzy closure operators. Furthermore, the notion of connectedness degrees of L-fuzzy subsets is introduced. Many properties of connectedness in general topology are generalized to L-fuzzy...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/892826 |
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| _version_ | 1850214763039031296 |
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| author | Fu-Gui Shi |
| author_facet | Fu-Gui Shi |
| author_sort | Fu-Gui Shi |
| collection | DOAJ |
| description | The notion of separatedness degrees of L-fuzzy subsets is introduced
in L-fuzzy topological spaces by means of L-fuzzy closure operators. Furthermore, the notion of
connectedness degrees of L-fuzzy subsets is introduced. Many properties of connectedness in
general topology are generalized to L-fuzzy topological spaces. |
| format | Article |
| id | doaj-art-862381f65e16490e9dff1bc23ae9c47e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-862381f65e16490e9dff1bc23ae9c47e2025-08-20T02:08:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/892826892826Connectedness Degrees in L-Fuzzy Topological SpacesFu-Gui Shi0Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, ChinaThe notion of separatedness degrees of L-fuzzy subsets is introduced in L-fuzzy topological spaces by means of L-fuzzy closure operators. Furthermore, the notion of connectedness degrees of L-fuzzy subsets is introduced. Many properties of connectedness in general topology are generalized to L-fuzzy topological spaces.http://dx.doi.org/10.1155/2009/892826 |
| spellingShingle | Fu-Gui Shi Connectedness Degrees in L-Fuzzy Topological Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Connectedness Degrees in L-Fuzzy Topological Spaces |
| title_full | Connectedness Degrees in L-Fuzzy Topological Spaces |
| title_fullStr | Connectedness Degrees in L-Fuzzy Topological Spaces |
| title_full_unstemmed | Connectedness Degrees in L-Fuzzy Topological Spaces |
| title_short | Connectedness Degrees in L-Fuzzy Topological Spaces |
| title_sort | connectedness degrees in l fuzzy topological spaces |
| url | http://dx.doi.org/10.1155/2009/892826 |
| work_keys_str_mv | AT fuguishi connectednessdegreesinlfuzzytopologicalspaces |