A note on the algebraicity of L-fuzzy subalgebras in universal algebra

被引：7

作者：

Foka, S. V. Tchoffo ^{[1
]}

Tonga, Marcel ^{[1
]}

机构：

[1] Univ Yaounde I, Dept Math, POB 812, Yaounde, Cameroon

来源：

SOFT COMPUTING | 2020年 / 24卷 / 02期

关键词：

Universal algebra; Algebraic lattice; Compact element; L-fuzzy subalgebra; LATTICE;

D O I：

10.1007/s00500-019-04594-z

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Given a universal algebra A := ( A; F-A) of type F, it is well known that the lattice Sub(A) of subuniverses of A is algebraic and its compact elements are exactly finitely generated subuniverses of A. In this paper, under a distributive algebraic lattice L := (L; boolean AND, boolean OR; 0, 1), we characterize the compact elements of the lattice Fs(A, L) of L-fuzzy subalgebras of A, which is an extension of Sub(A) and show that the latter is algebraic.

引用

页码：895 / 899

页数：5

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