剩余格上几类n-重模糊滤子的系统结构  

Structure of Several Kinds of n-Fold Fuzzy Filter in the Residuated Lattice

作　　者：刘莉君[1] 

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723000

出　　处：《武汉大学学报（理学版）》2017年第6期538-542,共5页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金(11401357);陕西省教育厅专项科学研究资助项目(17JK0145)

摘　　要：在研究剩余格的代数结构中滤子理论起着非常重要的作用.通过研究剩余格上n-重模糊蕴涵滤子,n-重模糊极滤子和n-重模糊布尔滤子的概念的特征及性质,获得了剩余格上这几类n-重模糊滤子之间的关系,以及它们的若干等价刻画,研究结果进一步拓展了剩余格上的模糊滤子理论,并为其揭示剩余格的代数结构奠定了理论基础.Filter theory plays a very important role in the study of the structure in the residuated lattice.We study the concept of n-fold fuzzy implicative filter,n-fold fuzzy fantastic filter and n-fold fuzzy Boolean filter.The relation and characterization theorem among these n-fold fuzzy filter are obtained systematically.The results of this study not only enrich the fuzzy filter theory of the residuated lattice,but also provide a theoretical basis for the structure of the residuated lattice.

关 键 词：剩余格 n-重模糊蕴涵滤子 n-重模糊极滤子 n-重模糊布尔滤子 

分 类 号：O159[理学—数学]