反软子半群  

Anti-soft Subsemigroups

作　　者：吴修竹 廖祖华[1] 刘维龙[1] 朱晓英[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》2015年第5期44-50,共7页Fuzzy Systems and Mathematics

基　　金：江南大学大学生创新创业训练计划项目(132011310);国家自然科学基金资助项目(61170121)

摘　　要：给出了反软子半群的定义,并讨论了它的等价刻画,其次,获得了两个反软子半群的限制并和或也是反软子半群。另外,基于扩张原理和反扩张原理得到了他们同态像、反像和原像的相关性质。最后,在反软子半群的基础上定义了K-反软子半群,并对它的基本性质进行了讨论。In this paper, the definition of anti-soft subsemigroups is given, and the equivalentcharacterizations is discussed. Then, we obtained that the restricted union and OR of their image, antiimage and inverse image have been given based on the extension principle and anti extension principle. Finally, we put forward the definition of K-anti-soft subsemigroups based on anti-soft subsemegroups, and several basic properties are investigated.

关 键 词：反对偶软集 反软子半群 K-反软子半群 同态像 

分 类 号：O153[理学—数学]