新型软亚BCI-代数  

New Type of Soft Weak BCI-algebras

作　　者：廖翠萃 廖祖华[1,2] 张龙祥[1] 童娟[1] 罗晴[1] 刘维龙[1] 

机构地区：[1]江南大学理学院,无锡214122 [2]江南大学智能系统与网络计算研究所,无锡214122

出　　处：《计算机科学》2016年第1期22-24,60,共4页Computer Science

基　　金：国家自然科学基金项目(61170121;11401259);中央高校基本科研基金(JUSRR11407);国家大学生创新训练项目(201310295028);江南大学大学生创新训练项目(2014203)资助

摘　　要：首先将软集的参数集赋予亚BCI-代数的代数结构,给出新型软亚BCI-代数的概念;其次利用软集的交、且等运算,研究它的基本性质,并运用对偶软集的方法给出新型软亚BCI-代数的等价刻画;最后讨论新型软亚BCI-代数的同态像和原像的性质。In this paper,by endowing aparameter set with soft weak BCI-algebras＇ algebra structure,the concept of a new type of soft weak BCI-algebras was introduced firstly.Then its some basic properties were discussed by using the intersection and the AND operation of soft sets.Besides,by applying the dual soft sets,the equivalent characterizations of the new type soft weak BCI-algebras were given.At last,the properties of the homomorphism image and inverse image of the new type of soft weak BCI-algebras were investigated.

关 键 词：软集 软亚BCI-代数 软集运算 对偶软集 同态映射 

分 类 号：O153[理学—数学]