On the continuity points of left-continuous t-norms

被引：0

作者：

S. Jenei

F. Montagna

机构：

[1] University of Pécs,Institute of Mathematics and Informatics

[2] University of Siena,Department of Matematics

来源：

Archive for Mathematical Logic | 2003年 / 42卷

关键词：

t-norm; Continuity; Left-continuity; Residuated lattice;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Left-continuous t-norms are much more complicated than the continuous ones, and obtaining a complete classification of them seems to be a very hard task. In this paper we investigate some aspects of left-continuous t-norms, with emphasis on their continuity points. In particular, we are interested in left-continuous t-norms which are isomorphic to t-norms which are continuous in the rationals. We characterize such a class, and we prove that it contains the class of all weakly cancellative left-continuous t-norms.

引用

页码：797 / 810

页数：13

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