计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (8): 42-46.

• 理论研究、研发设计 • 上一篇    下一篇

格蕴涵代数的软LI-理想

郑高平1,3,4,廖祖华1,3,4,王妮妮2,3,4,章里程1,4   

  1. 1.江南大学 理学院,江苏 无锡 214122
    2.江南大学 物联网学院,江苏 无锡 214122
    3.江南大学 至善学院,江苏 无锡 214122
    4.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
  • 出版日期:2015-04-15 发布日期:2015-04-29

Soft LI-ideals of lattice implication algebra

ZHENG Gaoping1,3,4, LIAO Zuhua1,3,4, WANG Nini2,3,4, ZHANG Licheng1,4   

  1. 1.School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
    2.School of Internet of Things Engineering, Jiangnan University, Wuxi, Jiangsu 214122, China
    3.School of Honors, Jiangnan University, Wuxi, Jiangsu 214122, China
    4.Engineering Research Center of Internet of Things Technology Application Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China
  • Online:2015-04-15 Published:2015-04-29

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。

关键词: 软集, 格蕴涵代数, LI-理想, 格理想, 运算, 软集的像

Abstract: 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 relationship between a soft LI-ideal of lattice implication algebra and a soft lattice ideal of lattice implication algebra is investigated. The properties about image and preimage of a soft LI-ideal of lattice implication algebra are obtained.

Key words: soft set, lattice implication algebra, LI-ideal, lattice ideal, operation, soft image