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

页码：277 / 301

页数：25

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