对非矩阵诱导的 U 偏序的一些研究

Pub Date : 2024-04-26 DOI:10.1007/s00010-024-01048-2

Emel Aşıcı, Radko Mesiar

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引用次数: 0

摘要

在本文中，我们研究了由非矩形诱导的（ \preceq _U \）-部分阶。我们还研究了有界网格上两个非矩形的直接乘积的一些性质。我们研究了关于 \( \preceq _U \)-部分的不可比元素集合的一些性质。然后，我们研究可比元素集与单位区间 [0, 1] 上非矩形的分布性之间的关系。最后，我们定义了内部非矩形诱导的总阶。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Some investigations on the U-partial order induced by uninorms

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Some investigations on the U-partial order induced by uninorms

In this paper, we study on the \( \preceq _U \)-partial order induced by uninorms. We also investigate some properties direct product of two uninorms on bounded lattices. We investigate some properties of the set of incomparable elements with respect to \( \preceq _U \)-partial. Then, we investigate the relation between the set of comparable elements and the distributivity property for uninorms on the unit interval [0, 1] . Finally, we define a total order induced by internal uninorms.

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