软子半群  

Soft Subsemigroups

作　　者：关贝贝 廖祖华[1] 朱晓英[1] 叶灵军[1] 赵迪[1] 叶婷[1] 张士强[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2014年第4期39-44,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11001109);江苏省教育科学"十一五"规划项目(D/2006/01/171);江南大学创新团队发展计划项目(应用数学200902);江南大学大学生创新训练计划项目(2011-596)

摘　　要：首先,在软集的基础上将参数集赋予半群的代数结构,给出了软子半群的新概念,得到了它的一些等价刻画;其次,利用软集的交和且运算,获得了两个子软半群的交和且也是软子半群。另外还给出了软子半群的像与原像的性质。最后,给出了K-软子半群的新概念,讨论了它的一些基本性质。Firstly, based on the soft sets, we gave the set of parameters a algebraic structure of semigroups, and obtained the concept of the soft subsemigroups. Next, we also got some of its equivalent characterizations. Then by using the intersection and the AND Opertaion of soft sets, we obtained that the intersection and the AND of two soft subsemigroups were also soft subsemigroups. In addition, we also gave the properties of the image and inverse image of the soft subsemigroups. Finally, we gave the new concept of the K-soft semigroups, and discussed some of its basic properties.

关 键 词：软集 交运算 且运算 软子半群 K-软子半群 

分 类 号：O152[理学—数学]