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Distributivity of residual implications over conjunctive and disjunctive uninorms

机译：剩余涵义在合取和合取单项上的分布

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摘要

This paper deals with implications defined from uninorms U by residuation through the expression I (x, y) = sup {z ∈[0,1] ∣U (x, z) ≤ y}. The main goal is to solve the functional equation derived from the distributivity condition of these implications over conjunctive and disjunctive uninorms. A special case is considered when the uninorm that defines the implication is a t-norm. The obtained results show many new solutions generalizing those obtained in previous works, where the implications are derived from t-norms and when they are strong implications derived from disjunctive uninorms.
机译：本文通过对残差的单项式U定义，通过表达式I（x，y）= sup {z∈[0,1] ∣U（x，z）≤y}来定义。主要目标是求解从这些合取和分取单项上的含意的分布条件导出的泛函方程。当定义蕴涵的单数为t范数时，将考虑一种特殊情况。获得的结果显示了许多新的解决方案，这些解决方案概括了以前工作中获得的解决方案，其中的含义来自t范数，而当它们是分离的单项强度的强含义时。

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