有界序集上的t模

2008 International Seminar on Future Information Technology and Management Engineering Pub Date : 2008-11-20 DOI:10.1109/FITME.2008.82

Song Li-xia, Zhang Kun-lun

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引用次数: 1

摘要

本文研究了有界偏序集(偏序集)一般情况下的t-范数(三角范数)。引入了与t范数相关的幂等元素、零因子和幂零元素的集合，并将它们相互联系起来。讨论了t模的阿基米德性质，特别是它与对角不等式的关系。

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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The t-Norms on a Bounded Posets

In this presented note, t-norms (triangular norms) are studied in the general setting of bounded partially ordered sets(posets). The sets of idempotent elements, zero divisors and nilpotent elements associated to a t-norm are introduced and related to each other. The Archimedean property of t-norms is discussed, in particular its relationship to the diagonal inequality.

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2008 International Seminar on Future Information Technology and Management Engineering

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