Some Examples of Weak Uninorms

Jiachao Wu; Yayan Yuan

doi:10.1155/2013/712690

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013 Some Examples of Weak Uninorms

Jiachao Wu, Yayan Yuan

Abstr. Appl. Anal. 2013: 1-5 (2013). DOI: 10.1155/2013/712690

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Abstract

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.