Fuzziness of n-ary Semigroups
Master of Science (Mathematics), 2019
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Prince of Songkla University
2024
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| Online Access: | http://kb.psu.ac.th/psukb/handle/2016/19491 |
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th-psu.2016-194912024-06-19T04:03:47Z Fuzziness of n-ary Semigroups Solano, John Patrick F. Ronnason Chinram Faculty of Science (Mathemetics and Statistics) คณะวิทยาศาสตร์ ภาควิชาคณิตศาสตร์และสถิติ Fuzzy sets Fuzzy systems Master of Science (Mathematics), 2019 A nonempty set S together with an n-ary operation given by f: Sn→ S, where n ≥ 2, is called an n-ary groupoid and is denoted by (S, f). The following sequence of elements ¿, +1, ..., ; is denoted by x. In the case i > j, it is Ø. We call an n-ary groupoid (S, f) as (i, j)-associative if the following holds: n+i-1 2n-1 f(x, f(x+1), x) = f(x, f(x+1), x211) for every 1, 2,..., 2n-1 E S. The operation f is associative if the above identity holds for every 1 ≤ i ≤ j ≤ n, and (S, f) is called an n-ary semigroup.In this thesis, we study i-ideals and fuzzy i-ideals of n-ary semi- groups. Moreover, we study almost i-ideals and fuzzy almost i-ideals of n-ary semi- groups. 2024-06-19T04:03:46Z 2024-06-19T04:03:46Z 2019 Thesis http://kb.psu.ac.th/psukb/handle/2016/19491 en Attribution-NonCommercial-NoDerivs 3.0 Thailand http://creativecommons.org/licenses/by-nc-nd/3.0/th/ application/pdf Prince of Songkla University |
| institution |
Prince of Songkhla University |
| building |
Khunying Long Athakravi Sunthorn Learning Resources Center |
| continent |
Asia |
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Thailand Thailand |
| content_provider |
Khunying Long Athakravi Sunthorn Learning Resources Center |
| collection |
PSU Knowledge Bank |
| language |
English |
| topic |
Fuzzy sets Fuzzy systems |
| spellingShingle |
Fuzzy sets Fuzzy systems Solano, John Patrick F. Fuzziness of n-ary Semigroups |
| description |
Master of Science (Mathematics), 2019 |
| author2 |
Ronnason Chinram |
| author_facet |
Ronnason Chinram Solano, John Patrick F. |
| format |
Theses and Dissertations |
| author |
Solano, John Patrick F. |
| author_sort |
Solano, John Patrick F. |
| title |
Fuzziness of n-ary Semigroups |
| title_short |
Fuzziness of n-ary Semigroups |
| title_full |
Fuzziness of n-ary Semigroups |
| title_fullStr |
Fuzziness of n-ary Semigroups |
| title_full_unstemmed |
Fuzziness of n-ary Semigroups |
| title_sort |
fuzziness of n-ary semigroups |
| publisher |
Prince of Songkla University |
| publishDate |
2024 |
| url |
http://kb.psu.ac.th/psukb/handle/2016/19491 |
| _version_ |
1802995683380166656 |