On a new class of t-norms and t-conorms on bounded lattices

被引：69
|
作者：
Cayli, Gul Deniz [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, Fac Sci, TR-61080 Trabzon, Turkey
来源：
FUZZY SETS AND SYSTEMS | 2018年 / 332卷
关键词：
Bounded lattice; Triangular norm; Triangular conorm; Ordinal sum; TRIANGULAR NORMS; ORDINAL SUMS; FUZZY-SETS; UNINORMS; NULLNORMS; ORDER;
D O I：
10.1016/j.fss.2017.07.015
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The ordinal sum of triangular norms on unit interval has been used to construct other triangular norms. But, in general, ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we focus on ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. Moreover, we show a complete generalization of our ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. And some illustrative examples are added for clarity. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：129 / 143
页数：15
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