摘要
讨论了半群S中,P为S的Fuzzy弱素双理想与其t截集Pt(t>0)为素双理想之间的关系,以及Fuzzy完全素双理想与Fuzzy素双理想的关系,并证明了在正则交换半群中,P为S的Fuzzy完全素双理想当且仅当P为半群S的Fuzzy素双理想;P为S的Fuzzy弱完全素双理想当且仅当P为半群S的Fuzzy弱素双理想.
In this paper we discuss the relationship between when a fuzzy subset P of the semigroup S is a fuzzy weak prime hi-ideal and when its t- cut Pt （t 〉 0） is a prime bi-ideal, and we also discuss the relationship between fuzzy complete prime bi-ideals and fuzzy prime bi-ideals. What＇s more, we prove that in a commutative regular semigroup S, for which the fuzzy subset P is a fuzzy complete prime bi-ideal if and only if it＇s a fuzzy prime bi-ideal; P is a fuzzy weak complete prime bi-ideal of S if and only if it＇s a fuzzy weak prime bi-ideal.
出处
《湖南理工学院学报（自然科学版）》
CAS
2012年第4期6-9,16,共5页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
湖南省研究生科研创新项目资助(CX2012B395)
湖南省普通高等学校教学改革项目
