半-算子上2-一致子的分布性

Ya-Ming Wang, Huawen Liu, F. Qin
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引用次数: 2

摘要

本文的主要目的是求解半-算子上2-一致子的分布性泛函方程。我们的研究是由一对分布逻辑连接词及其推广所驱动的,其中一个涵盖了一致范数和零范数的是2一致范数。本文讨论了半t算子上2-一致子的分布性方程的所有可能情况,给出了半t算子上2-一致子是分布的充要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Distributivity for 2-uninorms over semi-t-operators
The aim of this paper is mainly to solve the functional equations of distributivity for 2-uninorms over semi­t-operators. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, one of which covering both uninorms and nullnorms are 2-uninorms. In this work, we discuss all possible cases of the distributivity equations for 2-uninorms over semi-t-operators, and give the sufficient and necessary conditions that 2-uninorms are distributive over semi-t-operators.
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