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Some Examples of Weak Uninorms

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  • Jiachao Wu
  • Yayan Yuan

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.

Suggested Citation

  • Jiachao Wu & Yayan Yuan, 2013. "Some Examples of Weak Uninorms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:712690
    DOI: 10.1155/2013/712690
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    References listed on IDEAS

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    1. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2011. "Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00539032, HAL.
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