On extensions of triangular norms on bounded lattices

被引：68
|
作者：
Saminger-Platz, Susanne [1 ]
Klement, Erich Peter [1 ]
Mesiar, Radko [2 ,3 ]
机构：
[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria
[2] Slovak Tech Univ, Dept Math & Descript Geometry, Fac Civil Engn, Bratislava, Slovakia
[3] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, Ostrava, Czech Republic
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2008年 / 19卷 / 01期
基金：
奥地利科学基金会;
关键词：
D O I：
10.1016/S0019-3577(08)80019-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Smallest and largest possible extensions of triangular norms on bounded lattices are discussed. As such ordinal and horizontal sum like constructions for t-norms on bounded lattices are investigated. Necessary and sufficient conditions for the lattice guaranteeing that the extension is again a t-norm are revealed.
引用
收藏
页码：135 / 150
页数：16
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