Pinned-flags of some operations on fuzzy subgroups
Fuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pi...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3819 |
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doaj-33e4e3aa79854ed784da4dfc668244942020-11-24T22:51:52ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005233819382610.1155/IJMMS.2005.3819Pinned-flags of some operations on fuzzy subgroupsB. B. Makamba0V. Murali1Department of Mathematics (Pure and Applied), University of Fort Hare, Alice 5700, South AfricaDepartment of Mathematics (Pure and Applied), Rhodes University, Grahamstown 6140, South AfricaFuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. We illustrate some applications of such algorithms.http://dx.doi.org/10.1155/IJMMS.2005.3819 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. B. Makamba V. Murali |
| spellingShingle |
B. B. Makamba V. Murali Pinned-flags of some operations on fuzzy subgroups International Journal of Mathematics and Mathematical Sciences |
| author_facet |
B. B. Makamba V. Murali |
| author_sort |
B. B. Makamba |
| title |
Pinned-flags of some operations on fuzzy subgroups |
| title_short |
Pinned-flags of some operations on fuzzy subgroups |
| title_full |
Pinned-flags of some operations on fuzzy subgroups |
| title_fullStr |
Pinned-flags of some operations on fuzzy subgroups |
| title_full_unstemmed |
Pinned-flags of some operations on fuzzy subgroups |
| title_sort |
pinned-flags of some operations on fuzzy subgroups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| description |
Fuzzy subgroups of finite groups have been treated recently using
the concept of pinned-flags. In this paper, we consider the
operations of intersection, sum, product, and quotient of fuzzy
subgroups of finite abelian groups in general, in terms of
pinned-flags. We develop algorithms to construct pinned-flags of
fuzzy subgroups corresponding to these operations and prove their
validity. We illustrate some applications of such algorithms. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.3819 |
| work_keys_str_mv |
AT bbmakamba pinnedflagsofsomeoperationsonfuzzysubgroups AT vmurali pinnedflagsofsomeoperationsonfuzzysubgroups |
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1725668287091572736 |