摘要
结合软集理论在剩余格上引入交软滤子概念,对其性质进行研究。特别地,通过定义交软集的扩张对,证明交软滤子的全体构成有界分配格;定义交软同余,在全体交软滤子和交软同余之间确立一一对应关系;证明剩余格相对于交软滤子构成商剩余格。
The aim of this paper is to study filters on residuated lattices associated with soft sets. By intro-ducing the notion of tip-extended pair of soft sets, a bounded distributive lattice based on the sets of all int-soft filters is formed, a one-to-one correspondence between the set of all int-soft filters and the set of all int-soft congruences is established, and a quotient residuated lattice with respect to int-soft filter is induced.
作者
林春鑫
马振明
Chunxin Lin;Zhenming Ma(School of Mathematics and Statistics, Linyi University, Linyi Shandong)
出处
《运筹与模糊学》
2017年第2期37-44,共8页
Operations Research and Fuzziology
基金
临沂大学大学生创新创业训练项目(No. 201510452106)
山东省自然科学基金(No. ZR2013FL006)。
关键词
剩余格
交软滤子
交软同余
分配格
Residuated Lattice
Int-Soft Filter
Int-Soft Congruence
Distributive Lattice
