Constructions of uni-nullnorms and null-uninorms on a bounded lattice

被引：20
|
作者：
Zhang, Hua-Peng [1 ]
Ouyang, Yao [2 ]
De Baets, Bernard [3 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China
[2] Huzhou Univ, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China
[3] Univ Ghent, Dept Data Anal & Math Modelling, KERMIT, Ghent, Belgium
来源：
FUZZY SETS AND SYSTEMS | 2021年 / 403卷
基金：
中国国家自然科学基金;
关键词：
Lattice; Triangular norm; Triangular conorm; Uninorm; Uni-nullnorm; Null-uninorm;
D O I：
10.1016/j.fss.2019.10.010
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Recently, Wang et al. proposed the notion of a uni-nullnorm on a bounded lattice and provided two construction methods. In this paper, we point out that the first construction method is invalid since it does not always lead to a uni-nullnorm. Then we present a method to construct a uni-nullnorm on a bounded lattice via a disjunctive uninorm and a triangular norm. Making use of existing construction methods for uninorms on a bounded lattice, we derive several construction methods for uni-nullnorms, including the second construction method by Wang et al. Dually, we present a method to construct a null-uninorm on a bounded lattice via a conjunctive uninorm and a triangular conorm, as well as several derived construction methods for null-uninorms. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：78 / 87
页数：10
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