Some Examples of Weak Uninorms
It is proved that, except for the uninorms and the nullnorms, there are no continuous weak uninorms who have no more than one nontrivial idempotent element. And some examples of discontinuous weak uninorms are shown. All of these examples are not n-uninorms, thus not uninorms or nullnorms.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/712690 |
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| _version_ | 1850164581488394240 |
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| author | Jiachao Wu Yayan Yuan |
| author_facet | Jiachao Wu Yayan Yuan |
| author_sort | Jiachao Wu |
| collection | DOAJ |
| description | It is proved that, except for the uninorms and the nullnorms, there are no continuous weak uninorms who have no more than one nontrivial idempotent element. And some examples of discontinuous weak uninorms are shown. All of these examples are not n-uninorms, thus not uninorms or nullnorms. |
| format | Article |
| id | doaj-art-ea4e5ebcc9f249b5aeefde40b3359ebe |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ea4e5ebcc9f249b5aeefde40b3359ebe2025-08-20T02:21:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/712690712690Some Examples of Weak UninormsJiachao Wu0Yayan Yuan1Department of Mathematics, Shandong Normal University, Jinan 250014, ChinaCollege of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaIt is proved that, except for the uninorms and the nullnorms, there are no continuous weak uninorms who have no more than one nontrivial idempotent element. And some examples of discontinuous weak uninorms are shown. All of these examples are not n-uninorms, thus not uninorms or nullnorms.http://dx.doi.org/10.1155/2013/712690 |
| spellingShingle | Jiachao Wu Yayan Yuan Some Examples of Weak Uninorms Abstract and Applied Analysis |
| title | Some Examples of Weak Uninorms |
| title_full | Some Examples of Weak Uninorms |
| title_fullStr | Some Examples of Weak Uninorms |
| title_full_unstemmed | Some Examples of Weak Uninorms |
| title_short | Some Examples of Weak Uninorms |
| title_sort | some examples of weak uninorms |
| url | http://dx.doi.org/10.1155/2013/712690 |
| work_keys_str_mv | AT jiachaowu someexamplesofweakuninorms AT yayanyuan someexamplesofweakuninorms |