<p>Distributivity and conditional distributivity equations between two aggregation operators play a crucial role in fuzzy sets and fuzzy logic. In this paper, we will focus on distributivity and conditional distributivity for <i>S</i>-uninorms over <i>T</i>-uninorms. As we explore distributivity without any additional conditions, new solutions can always be obtained based on this paper.</p>

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Distributivity and conditional distributivity equations for \({\varvec{S}}\)-uninorms over \({\varvec{T}}\)-uninorms

  • Hao Zong,
  • Feng-Xia Zhang,
  • Xiaxia Liu,
  • Ying Song

摘要

Distributivity and conditional distributivity equations between two aggregation operators play a crucial role in fuzzy sets and fuzzy logic. In this paper, we will focus on distributivity and conditional distributivity for S-uninorms over T-uninorms. As we explore distributivity without any additional conditions, new solutions can always be obtained based on this paper.