逆半群上的几类模糊子半群  

Some Classes of Fuzzy Sub-semigroups on Inverse Semi-groups

作　　者：张鹏鸽[1] 刘三阳[1] 高淑萍[1] 

机构地区：[1]西安电子科技大学应用数学系,西安710071

出　　处：《吉林大学学报（理学版）》2006年第5期719-722,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:6057407560573034);陕西省自然科学基金(批准号:2004A05)

摘　　要：利用集合上模糊同余关系,在逆半群上定义了模糊正规子半群和模糊商子半群,并研究了逆半群上由这几类模糊关系所定义的模糊同余关系的一些性质.通过模糊同余关系β,得到模糊正规商子半群R及S/ρ上的模糊同余关系μR.On inverse semi-groups, the fuzzy normal sub-semigroup and fuzzy quotient sub-semigroup are defined via some special fuzzy relation by using fuzzy congruence relation on set. Some basic properties of those fuzzy congruence relation, which are defined by fuzzy relation, were studied, fuzzy normal quoitent sub-semigroup R and fuzzy congruence relation μR on inverse semi-group S/ρ were obtained by fuzzy congruence relation β.

关 键 词：模糊关系 模糊正规子半群 模糊商子半群 

分 类 号：O159[理学—数学]