三元超半群的(∈,∈∨q)-模糊超理想  

(∈,∈∨q)-fuzzy hyperideals of ternary semihypergroups

作　　者：杨慧章[1] 黄晓昆[1] 

机构地区：[1]红河学院数学学院,云南蒙自661199

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第7期1000-1004,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(11161020);云南省教育厅科学基金资助项目(2012C199;2011Y297)

摘　　要：为探索三元超半群的模糊子集具有的特征,采用(∈,∈∨q)-模糊化方法,给出了三元超半群的左(正、右)(∈,∈∨q)-模糊超理想概念,讨论其相关性质,得到了左(正、右)(∈,∈∨q)-模糊超理想的若干充要条件.(∈,∈∨q)-模糊超理想概念可用于刻画三元超半群的超正则性.研究结果表明:三元超半群的左(正、右)理想在经过(∈,∈∨q)-模糊化之后依然保留了原有的绝大部分性质.In order to explore the properties of fuzzy subsets of a ternary semihypergroup, the concepts of left（right, lateral） hyperideals of a ternary semihypergroup are fuzzified by using the ＂belongs to＂ relation and ＂quasi coincident with＂ relation between a fuzzy point and a fuzzy subset. As a result, the definition of （∈,∈∨q）- fuzzy left （lateral, right） hyperideals of a ternary semihypergroups is obtained and some of their related properties are studied. Also, it is shown that （∈,∈∨q）- fuzzy left （lateral, right） hyperideals have an application in characterizing hyperregularity of ternary semihypergroups. The result of research indicates that most of the properties which hold in hyperideals can be transformed to （∈,∈∨q） - fuzzy hyperideals.

关 键 词：三元 超运算 超半群 模糊集 理想 (∈ ∈∨q)-模糊理想 超正则性 刻画 

分 类 号：O159[理学—数学]