Uni-nullnorms on bounded lattices

被引：32
作者：
Wang, Ya-Ming [1 ]
Zhan, Hang [1 ]
Liu, Hua-Wen [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2020年 / 386卷
基金：
中国国家自然科学基金;
关键词：
Uni-nullnorms; Bounded lattices; Uninorms; Nullnorms; IDEMPOTENT UNINORMS; TRIANGULAR NORMS; ORDINAL SUMS; T-NORMS; EQUATIONS;
D O I：
10.1016/j.fss.2019.01.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study uni-nullnorms with both neutral elements and zero elements on bounded lattices. In order to illustrate the existence of uni-nullnorms on bounded lattices, we present two construction methods for obtaining such a uni-nullnorm. Also, we show two additional methods for the construction of idempotent nullnorms on bounded lattices, which are generalizations of the one proposed by Cayli and Karacal. Furthermore, we discuss the presence of idempotent uni-nullnorms on bounded lattices, and propose two construction methods to obtain an idempotent uni-nullnorm on any bounded lattice. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：132 / 144
页数：13
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