有界偏集上的三角范数

2008 IEEE International Symposium on Knowledge Acquisition and Modeling Workshop Pub Date : 2008-12-01 DOI:10.1109/KAMW.2008.4810415

Zhang Kun-lun, Li Dong-hai

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摘要

本文研究了有界偏序集(poset)一般集合中的三角模。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模的阿基米德定理，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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Triangular Norms on a Bounded Posets

In this presented note, 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 of t-norms is discussed, in particular its relationship to the diagonal inequality.

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2008 IEEE International Symposium on Knowledge Acquisition and Modeling Workshop

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