Conditionally distributive uninorms locally internal on the boundary

IF 0.7 3区数学 Q2 MATHEMATICS

Semigroup Forum Pub Date : 2024-08-29 DOI:10.1007/s00233-024-10462-6

Wenwen Zong, Yong Su, Hua-Wen Liu

引用次数: 0

Abstract

In the theory of nonadditive integrals, an indispensable step is to define a pair of pseudo-addition and pseudo-multiplication that fulfill the conditional distributivity, leading to a structure of an ordered semiring in some sense. In this paper, we focus on conditionally distributive uninorms locally internal on the boundary, show that the second involved uninorm must be locally internal, and present a general framework of structures of such a pair of uninorms.

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边界上局部内部的条件分布非矩形

在非加法积分理论中，一个不可或缺的步骤是定义一对满足条件分布性的伪加法和伪乘法，从而在某种意义上形成有序配系的结构。在本文中，我们将重点放在边界上局部内部的条件分配非矩形，证明第二个涉及的非矩形必须是局部内部的，并提出了这样一对非矩形结构的一般框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Semigroup Forum 数学-数学

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

12 months

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