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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Bibliographic Details
Main Authors: Jiachao Wu, Yayan Yuan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/712690
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Summary: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.
ISSN:1085-3375
1687-0409