The modularity equation for semi-t-operators and T-uninorms

被引：4
|
作者：
Zhao, Yuan-Yuan [1 ]
Liu, Hua-Wen [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2022年 / 146卷
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Modularity equation; Semi-t-operators; Uninorms; T-uninorms; AGGREGATION OPERATORS; DISTRIBUTIVITY;
D O I：
10.1016/j.ijar.2022.04.005
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the modularity equation including semi-t-operators and T-uninorms. We discuss the modularity equation in two cases, which are semi-t-operators over Tuninorms, and T-uninorms over semi-t-operators, respectively. For the case of semi t-operators over T-uninorms, all solutions to the equation are given. Moreover, by considering the underlying uninorm of the T-uninorm is locally internal on the boundary, necessary and sufficient conditions of the case for T-uninorms over semi-t-operators are established. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：106 / 118
页数：13
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