Continuous completions of triangular norms known on a subregion of the unit interval

被引:2
|
作者
Mesiarova-Zemankova, Andrea [1 ]
机构
[1] Slovak Acad Sci, Math Inst, Bratislava, Slovakia
关键词
t-Norm; Ordinal sum; Cancellative t-norm; Additive generator;
D O I
10.1016/j.fss.2016.06.006
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The continuous extensions of a t-norm know only on some subregion of the unit interval to the whole unit interval are studied. The conditions which a t-norm T-1 should satisfy on [a, b](2) necessary for the existence of a continuous t-norm T-2 that coincides with T-1 on [a, b](2) are given. Construction of such a continuous t-norm T-2 is described. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:27 / 41
页数:15
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