Fuzzy universal algebras on L-sets

被引：0
|
作者：
Wei, X. [1 ]
Yue, Y. [1 ]
机构：
[1] Ocean Univ China, Dept Math, 238 Songling Rd, Qingdao 266100, Shandong, Peoples R China
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2019年 / 16卷 / 04期
关键词：
L-valued relation; congruence; subalgebra; homomorphism; L-valued power algebra; VALUED EQUIVALENCE-RELATIONS; FOUNDATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper attempts to generalize universal algebras on classical sets to L-sets when L is a GL-quantale. Some basic notions of fuzzy universal algebra on an L-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. L-valued power algebra is also introduced and it is shown there is an onto homomorphism from P(A)/R+ to P(A/R) for any congruence R on L-set A.
引用
收藏
页码：175 / 187
页数：13
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