剩余格上几类n-重模糊滤子的相互关系  

Correlativity of Several Kinds of n-Fold Fuzzy Filters in Residuated Lattices

作　　者：刘莉君[1,2] LIU Lijun(School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China School of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710119, China)

机构地区：[1]陕西理工大学数学与计算机科学学院,陕西汉中723001 [2]陕西师范大学数学与信息科学学院,西安710119

出　　处：《吉林大学学报（理学版）》2017年第5期1117-1122,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11401357);陕西理工大学科研基金重点项目(批准号:SLGKY16-02;SLGKY-31)

摘　　要：运用模糊集的方法和原理,通过在剩余格中引入n-重模糊蕴涵滤子、n-重模糊极滤子、n-重模糊正蕴涵滤子和n-重模糊Boole滤子的概念,得到了剩余格上这几类n-重模糊滤子之间的关系,并证明了剩余格上n-重模糊正蕴涵滤子和n-重模糊Boole滤子相互等价.By using the method and principle of fuzzy sets,the concept of n-fold fuzzy implicative filter,n-fold fuzzy fantastic filter,n-fold fuzzy positive implicative filter and n-fold fuzzy Boole filter were introduced in residuated lattice.The author obtained the relation among these kinds of n-fold fuzzy filter in residuated lattice,and proved that the equivalence between n-fold fuzzy positive implicative filter and n-fold fuzzy Boole filter in residuated lattice.

关 键 词：剩余格 n-重模糊蕴涵滤子 n-重模糊极滤子 n-重模糊正蕴涵滤子 n-重模糊Boole滤子 

分 类 号：O159[理学—数学]