新型软半环  

A New Type of Soft Semirings

作　　者：王瑞云[1] 廖祖华[1,2] 张龙祥[1] 童娟[1] 路腾[1] 刘维龙[1] 

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

出　　处：《数学的实践与认识》2015年第13期263-267,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61170121);国家大学生创新训练项目(201410295026)

摘　　要：将软集的参数集赋予半环的代数结构,提出新型软半环的概念,并利用对偶软集的方法给出新型软半环的等价刻画;然后讨论了两个新型软半环在限制交和且等运算下仍然是新型软半环的性质;最后得到新型软半环的同态像和原像仍然是新型软半环的结论.Firstly ,The concept of a new type of soft semirings is introduced oy enaowing parameter set with a semiring algebra structure and the equivalent characterizations of a new type of soft semirings are given by applying the dual soft set.Secondly,under the condition of the restricted intersection and the AND operation of soft set, two of a new type of soft semirings are still of new type of soft semirings.Finally, the theorem that homomorphism image and preimage of a new type of soft semirings are still of it are proved.

关 键 词：软集 对偶软集 新型软半环 软集运算 

分 类 号：O153.3[理学—数学]