On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/793824 |
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| author | Rajesh K. Thumbakara |
| author_facet | Rajesh K. Thumbakara |
| author_sort | Rajesh K. Thumbakara |
| collection | DOAJ |
| description | Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes. |
| format | Article |
| id | doaj-art-00057f2efd0c4174b4eac36f04faac6e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-00057f2efd0c4174b4eac36f04faac6e2025-02-03T01:10:51ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/793824793824On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy CoframesRajesh K. Thumbakara0Department of Mathematics, Mar Athanasius College, Kothamangalam, Kerala 686666, IndiaFrame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.http://dx.doi.org/10.1155/2013/793824 |
| spellingShingle | Rajesh K. Thumbakara On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes Journal of Mathematics |
| title | On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes |
| title_full | On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes |
| title_fullStr | On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes |
| title_full_unstemmed | On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes |
| title_short | On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes |
| title_sort | on intuitionistic fuzzy filters of intuitionistic fuzzy coframes |
| url | http://dx.doi.org/10.1155/2013/793824 |
| work_keys_str_mv | AT rajeshkthumbakara onintuitionisticfuzzyfiltersofintuitionisticfuzzycoframes |