On smooth fuzzy subspaces
We introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case where μ=χY, Y⊂X. Also, we introduce some concepts such as q-nbd systems, continuity, separation axioms, compactness, and connectedness in this sense. Also, various characterization for...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204401021 |
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| _version_ | 1832547553637302272 |
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| author | S. E. Abbas |
| author_facet | S. E. Abbas |
| author_sort | S. E. Abbas |
| collection | DOAJ |
| description | We introduce a new concept of smooth topological subspaces, which
coincides with the usual definition in the case where
μ=χY, Y⊂X. Also, we introduce some concepts such
as q-nbd systems, continuity, separation
axioms, compactness, and connectedness in this sense. Also,
various characterization for some fuzzy topological concepts in
this sense are given. |
| format | Article |
| id | doaj-art-1b052ab41c7548dbac49ae537f9a5b67 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1b052ab41c7548dbac49ae537f9a5b672025-02-03T06:44:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004663587360210.1155/S0161171204401021On smooth fuzzy subspacesS. E. Abbas0Department of Mathematics, Faculty of Science, South Valley University, Sohag 82524, EgyptWe introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case where μ=χY, Y⊂X. Also, we introduce some concepts such as q-nbd systems, continuity, separation axioms, compactness, and connectedness in this sense. Also, various characterization for some fuzzy topological concepts in this sense are given.http://dx.doi.org/10.1155/S0161171204401021 |
| spellingShingle | S. E. Abbas On smooth fuzzy subspaces International Journal of Mathematics and Mathematical Sciences |
| title | On smooth fuzzy subspaces |
| title_full | On smooth fuzzy subspaces |
| title_fullStr | On smooth fuzzy subspaces |
| title_full_unstemmed | On smooth fuzzy subspaces |
| title_short | On smooth fuzzy subspaces |
| title_sort | on smooth fuzzy subspaces |
| url | http://dx.doi.org/10.1155/S0161171204401021 |
| work_keys_str_mv | AT seabbas onsmoothfuzzysubspaces |