Triangular norms. Position paper I: basic analytical and algebraic properties

被引:246
|
作者
Klement, EP [1 ]
Mesiar, R
Pap, E
机构
[1] Johannes Kepler Univ Linz, Dept Algebra Stochast & Knowledge Based Math Syst, A-4040 Linz, Austria
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava 81368, Slovakia
[3] Univ Novi Sad, Dept Math & Informat, YU-21000 Novi Sad, Serbia
关键词
triangular norms;
D O I
10.1016/j.fss.2003.06.007
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present the basic analytical and algebraic properties of triangular norms. We discuss continuity as well as the important classes of Archimedean, strict and nilpotent t-norms. Triangular conorms and De Morgan triples are also mentioned. Finally, a brief historical survey on triangular norms is given. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:5 / 26
页数:22
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