半群中的反模糊半群与反模糊理想  

Anti-fuzzy semigroups and anti-fuzzy ideals of semigroups

作　　者：陈铃[1,2] 王凤英[1] 

机构地区：[1]山东建筑大学理学院,山东济南250101 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2014年第3期310-313,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：山东省高等学校优秀青年教师国内访问学者项目(2013);国家自然科学基金项目(11361074)

摘　　要：引入了反模糊半群及反模糊半群补的定义,获得了反模糊半群补的充要条件;在给出保值模糊映射的基础上,证明了反模糊半群和正规反模糊半群的同态不变性.继而,引入了半群的反模糊(左、右、双、内禀)理想的定义,得到了反模糊(左、右、双、内禀)理想的充要条件和反模糊(左、右、双、内禀)理想在保值模糊映射下的同态不变性.The definition of anti - fuzzy semigroups and anti - fuzzy semigroup ＇s complement is introduced, and the sufficient and necessary condition of the existence of the anti - fuzzy semigroup＇s complement is obtained. Based on the definition of value - keeping fuzzy mappings in semigroups, the paper proves invariance of the ho- momorphism of anti - fuzzy semigroups and normal anti - fuzzy semigroups. Furthermore, the definition of anti - fuzzy （ left, right, bilateral or within） ideals is introduced, and the sufficient and necessary condition of the exist- ence of the anti - fuzzy （ left, right, bilateral or within） ideal is achieved. Finally, the paper discusses invariance of the homomorphism of anti - fuzzy （ left, right, bilateral or within） ideal under the condition of the homomorphic mapping.

关 键 词：反模糊半群 反模糊理想 保值模糊映射 

分 类 号：O152[理学—数学]