Construction of nullnorms on bounded lattices and an equivalence relation on nullnorms

被引：24
作者：
Ertugrul, Umit [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey
来源：
FUZZY SETS AND SYSTEMS | 2018年 / 334卷
关键词：
Equivalence relation; Nullnorm; Partial order; TRIANGULAR NORMS; UNINORMS; DISTRIBUTIVITY; EQUATIONS;
D O I：
10.1016/j.fss.2017.07.020
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this study, we present two methods for the construction of nullnorms on bounded lattices based on the existence of t-norms as well as t-conorms on an arbitrary bounded lattice L. We demonstrate that these methods differ from the existing approaches mainly because of their more generalized structures. An equivalence relation is also defined based on a class of nullnorms and some properties of this relation are examined. (c) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：94 / 109
页数：16
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