剩余格上的交软滤子与交软同余
Int-Soft Filters and Their Congruences on Residuated Lattices
DOI: 10.12677/ORF.2017.72005, PDF, HTML, XML,  被引量 下载: 1,806  浏览: 3,947  科研立项经费支持
作者: 林春鑫, 马振明:临沂大学, 数学与统计学院,山东 临沂
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
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。
Abstract: 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.
文章引用:林春鑫, 马振明. 剩余格上的交软滤子与交软同余[J]. 运筹与模糊学, 2017, 7(2): 37-44. https://doi.org/10.12677/ORF.2017.72005

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