格蕴涵代数的superior滤子  

The Superior Filters of the Lattice Implication Algebras

作　　者：傅小波[1] 张建忠[1] FU Xiao-ho;ZHANG Jian-zhong(Wuxi Institute of Technology,Wuxi 214121,China)

机构地区：[1]无锡职业技术学院,江苏无锡214121

出　　处：《模糊系统与数学》2018年第4期123-129,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61502204);无锡职业技术学院校级科研课题(4016012931;3116015931)

摘　　要：从一个新的角度对格蕴涵代数的滤子理论作进一步研究。给定一个具有最小元的偏序集,提出了格蕴涵代数superior滤子和superior关联滤子的概念,研究了superior滤子的相关性质,给出了若干等价刻画。讨论了superior滤子和superior关联滤子相关关系。最后还得到了上确界关联滤子的一些等价刻画。In this paper, from new point of view, the filter theory in lattice implication algebras is studied further. Given a poset with the smallest element, the concept of superior filters and superior implicative filters are introduced in the lattice implications algebras; Some properties of superior filters are also discussed, and various equivalent characterization of superior filters are given. Besides, the relationship between superior filters and superior implicative filters are also discussed; Finally, we get some equivalent characterization of superior Implicative filters.

关 键 词：格蕴涵代数 superior滤子 superior关联滤子 

分 类 号：O159[理学—数学]