Generalized convex combination of triangular norms on bounded lattices

被引：8
|
作者：
Karacal, Funda [1 ]
Nesibe Kesicioglu, M. [2 ]
Ertugrul, Umit [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
[2] Recep Tayyip Erdogan Univ, Dept Math, Rize, Turkey
来源：
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2020年 / 49卷 / 03期
关键词：
Triangular norm; triangular conorm; linear combination; convex combination; bounded lattice; ORDINAL SUMS; OPERATORS;
D O I：
10.1080/03081079.2020.1730358
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we introduce the notions of the linear and generalized convex combination (shortly, g-convex combination) for triangular norms on bounded lattices. We investigate the conditions for the g-convex combination to be a triangular norm again. We introduce a triangular norm defined on a bounded lattice of equivalence classes and investigate some basic properties of the introduced triangular norm.
引用
收藏
页码：277 / 301
页数：25
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