Triangular Norms on a Bounded Posets

被引：0
|
作者：
Zhang Kun-Lun [1 ]
Li Dong-Hai [2 ]
机构：
[1] Cent Univ Nationalities, Dept Math, Beijing, Peoples R China
[2] Tsinghua Univ, Dept Thermal Engn, Beijing, Peoples R China
来源：
2008 IEEE INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING WORKSHOP PROCEEDINGS, VOLS 1 AND 2 | 2008年
基金：
中国国家自然科学基金;
关键词：
Triangular norms; bounded lattices; bounded posets; Archimedean property; Cancellation law;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
引用
收藏
页码：26 / +
页数：2
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