西北师范大学学报（自然科学版）2026，Vol.62Issue(5)：115-119,5.DOI:10.16783/j.cnki.nwnuz.2026.05.014
Clifford半群在集合上的模糊作用
Fuzzy actions of Clifford semigroups on sets
摘要
Abstract
Let S=UGαα∈Y be a Clifford semigroup,and let F:S × I × I →[0,1]be a fuzzy S-acts.This paper mainly investigates some properties of the semilattice decomposition of the fuzzy acts F on Clifford semigroups.It is proved that the fuzzy equivalence relations EIα(α ∈Y)induced by idempotents are compatible with the semilattice structure on S.Furthermore,the concept of a fuzzy subgroup μE is extended from groups to Clifford semigroups.The notion of a fuzzy congruence is also defined,and it is shown that a T-fuzzy equivalence relation E is a fuzzy congruence if and only if it is regular with respect to set operations.Moreover,if E is a fuzzy congruence defined on a Clifford semigroup,then it is a fuzzy congruence if and only if it is invariant under the translations of the operation.关键词
Clifford半群/模糊作用/模糊子群/模糊同余/正则性Key words
Clifford semigroup/fuzzy action/fuzzy subgroup/fuzzy congruence/regularity分类
数理科学引用本文复制引用
乔虎生,韩娟..Clifford半群在集合上的模糊作用[J].西北师范大学学报（自然科学版）,2026,62(5):115-119,5.基金项目
国家自然科学基金资助项目(12461003) （12461003）
甘肃省基础研究创新群体项目(23JRRA684) （23JRRA684）
