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Abstract and Applied Analysis
Volume 2013, Article ID 712690, 5 pages
Research Article

Some Examples of Weak Uninorms

1Department of Mathematics, Shandong Normal University, Jinan 250014, China
2College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Received 24 May 2013; Revised 14 November 2013; Accepted 14 November 2013

Academic Editor: Natig M. Atakishiyev

Copyright © 2013 Jiachao Wu and Yayan Yuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 -uninorms, thus not uninorms or nullnorms.