Intuitionistic Fuzzy Subbialgebras and Duality
We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy subcoalgebra structure. Secondly we investigate the r...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/523245 |
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| _version_ | 1850230942899109888 |
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| author | Wenjuan Chen Bijan Davvaz |
| author_facet | Wenjuan Chen Bijan Davvaz |
| author_sort | Wenjuan Chen |
| collection | DOAJ |
| description | We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy subcoalgebra structure. Secondly we investigate the related properties of intuitionistic fuzzy subbialgebras. Finally we prove that the dual of an intuitionistic fuzzy strong subbialgebra is an intuitionistic fuzzy strong subbialgebra. |
| format | Article |
| id | doaj-art-05f8edfdba32452b89199305e4e733b2 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-05f8edfdba32452b89199305e4e733b22025-08-20T02:03:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/523245523245Intuitionistic Fuzzy Subbialgebras and DualityWenjuan Chen0Bijan Davvaz1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaDepartment of Mathematics, Yazd University, Yazd 89195-741, IranWe investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy subcoalgebra structure. Secondly we investigate the related properties of intuitionistic fuzzy subbialgebras. Finally we prove that the dual of an intuitionistic fuzzy strong subbialgebra is an intuitionistic fuzzy strong subbialgebra.http://dx.doi.org/10.1155/2014/523245 |
| spellingShingle | Wenjuan Chen Bijan Davvaz Intuitionistic Fuzzy Subbialgebras and Duality Journal of Applied Mathematics |
| title | Intuitionistic Fuzzy Subbialgebras and Duality |
| title_full | Intuitionistic Fuzzy Subbialgebras and Duality |
| title_fullStr | Intuitionistic Fuzzy Subbialgebras and Duality |
| title_full_unstemmed | Intuitionistic Fuzzy Subbialgebras and Duality |
| title_short | Intuitionistic Fuzzy Subbialgebras and Duality |
| title_sort | intuitionistic fuzzy subbialgebras and duality |
| url | http://dx.doi.org/10.1155/2014/523245 |
| work_keys_str_mv | AT wenjuanchen intuitionisticfuzzysubbialgebrasandduality AT bijandavvaz intuitionisticfuzzysubbialgebrasandduality |