T-norms and t-conorms continuous around diagonals

被引：2
|
作者：
Mesiarova-Zemankova, Andrea [1 ]
机构：
[1] Slovak Acad Sci, Inst Math, Bratislava, Slovakia
来源：
FUZZY SETS AND SYSTEMS | 2016年 / 299卷
关键词：
t-Norm; t-Conorm; Ordinal sum;
D O I：
10.1016/j.fss.2015.11.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Triangular norms and conorms with continuous diagonals are discussed. In literature we can find examples of non-continuous t-norms with continuous diagonals, however, their deeper study is still missing. In this paper we introduce a sufficient condition under which a t-norm with continuous diagonal is continuous. Moreover, we show that an Archimedean t-norm continuous on the boundary is continuous. Several illustrative examples are also included. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：105 / 112
页数：8
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