格蕴涵代数的软LI-理想  

Soft LI-ideals of lattice implication algebra

作　　者：郑高平[1,2,3] 廖祖华[1,2,3] 王妮妮[4,2,3] 章里程[1,3] 

机构地区：[1]江南大学理学院,江苏无锡214122 [2]江南大学至善学院,江苏无锡214122 [3]江南大学教育部物联网技术应用工程研究中心,江苏无锡214122 [4]江南大学物联网学院,江苏无锡214122

出　　处：《计算机工程与应用》2015年第8期42-46,84,共6页Computer Engineering and Applications

基　　金：国家大学生创新创业训练项目(No.2050205);国家自然科学基金(No.61170121)

摘　　要：借助软集合,提出了格蕴涵代数的软LI-理想的概念,研究了软集运算下的一些诸如交、且等基本性质,并给出了格蕴涵代数的软LI-理想的一些等价刻画。此外,研究了格蕴涵代数的软LI-理想与格蕴涵代数的软格理想之间的关系。得到了格蕴涵代数的软LI-理想像与原像的性质。By means of soft set, the concepts of soft LI-ideals of lattice implication algebra are introduced, some of their properties such as intersection and AND are studied. Then its equivalent characterization is discussed. In addition, the rela-tionship between a soft LI-ideal of lattice implication algebra and a soft lattice ideal of lattice implication algebra is inves-tigated. The properties about image and preimage of a soft LI-ideal of lattice implication algebra are obtained.

关 键 词：软集 格蕴涵代数 LI-理想 格理想 运算 软集的像 

分 类 号：O153[理学—数学] O159[理学—基础数学]