半群的Ω-模糊子半群  

Ω-Fuzzy Subsemigroup of Semigroups

作　　者：朱晓英[1] 廖祖华[1] 罗晓棠[1] 朱婵[1] 郑高平[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2013年第3期343-346,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：国家自然科学基金项目(11001109);国家大学生创新创业训练计划项目(2050205)

摘　　要：给定一个集合Ω,引入半群的Ω-模糊子半群的概念,研究其一些基本性质。给出半群的Ω-模糊子半群的等价刻画,证明了半群的Ω-模糊子半群的交、同态像与原像等也是半群的Ω-模糊子半群。最后,通过在SΩ上定义运算得到半群(SΩ,),并研究了其模糊子半群与Ω-模糊子半群。Given a set Ω,the Ω-fuzzy subsemigroup of the semigroup is introduced,and the basic propeities are investigated. Several equivalent characterizations of the Ω-fuzzy subsemigroup are obtained. We prove that the intersection of two Ω-fuzzy subsemigroups,the homomorphism image or homomorphism preimage of the Ω-fuzzy subsemigroup are the Ω-fuzzy subsemigroup. By defining the multiply operation in Sa we obtain the semigroup （S^Ω, ）, investigate its fuzzy subsemigroup and Ω-fuzzy subsemigroup.

关 键 词：半群 模糊子半群 Ω-模糊子半群 运算 同态 

分 类 号：O159[理学—数学]