Dominance is not transitive on continuous triangular norms

被引:0
|
作者
Peter Sarkoci
机构
[1] Johannes Kepler University,Department of Knowledge
来源
Aequationes mathematicae | 2008年 / 75卷
关键词
26D07; 39B62 (54E70); Subadditivity; dominance; t-norm; transitivity;
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学科分类号
摘要
Dominance is a relation between operations which are defined on a poset. It is well known that dominance of t-norms is reflexive and antisymmetric. The question whether dominance of t-norms is transitive was posed in [5, Problem 12.11.3]. In this paper we show that dominance is not transitive on the set of continuous t-norms.
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页码:201 / 207
页数:6
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