Two examples of subalgebras of the set of functions between bounded lattices

被引：5

作者：

Liu, Zhi-qiang ^{[1
]}

Wang, Xue-ping ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Sichuan, Peoples R China

来源：

SOFT COMPUTING | 2019年 / 23卷 / 23期

基金：

中国国家自然科学基金;

关键词：

Convolution operations; Bisemilattice; Birkhoff system; Distributive lattice; FUZZY SETS;

D O I：

10.1007/s00500-019-04214-w

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 deals with the convolution operations on the set of functions between bounded lattices. Firstly, we show a subset of the set of functions that is both a bisemilattice and a Birkhoff system under the convolution operations and then show another subset of the set of functions that is a bounded distributive lattice under the convolution operations, while the domain lattice of the functions does not need to be distributive.

引用

页码：12233 / 12240

页数：8

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