Soft filters of lattice implication algebra

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (9): 72-76.

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Soft filters of lattice implication algebra

LIAO Zuhua1，3，4, WANG Nini2，3，4, ZHENG Gaoping1，3，4, ZHANG Licheng1，3，4

1.School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
2.School of Internet of Things of Engineering, Jiangnan University, Wuxi, Jiangsu 214122, China
3.School of Honor, Jiangnan University, Wuxi, Jiangsu 214122, China
4.Engineering Research Center of Internet of Things Technology Application Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China

Online:2015-05-01 Published:2015-05-15

格蕴涵代数的软滤子

廖祖华1，3，4，王妮妮2，3，4，郑高平1，3，4，章里程1，3，4

1.江南大学理学院，江苏无锡 214122
2.江南大学物联网工程学院，江苏无锡 214122
3.江南大学至善学院，江苏无锡 214122
4.江南大学教育部物联网技术应用工程研究中心，江苏无锡 214122

Abstract

Abstract: By virtue of soft set, the concepts of soft filters of lattice implication algebra are presented, endowing a parameter set as a filter of a lattice implication algebra, and further its equivalent characterization and new operations of soft filters are discussed. Further, the relationship between a soft filter of lattice implication algebra and dual soft lattice ideal of lattice implication algebra is presented. The concepts of image and preimage of a soft filters of lattice implication algebra and their properties are shown.

Key words: soft set, lattice implication algebra, filter, operation, dual soft lattice ideals, soft image

摘要： 借助软集合，提出了格蕴涵代数的软滤子的概念，研究了其在软集运算下的一些基本性质，并给出了格蕴涵代数的软滤子的一些等价刻画。进一步，研究了格蕴涵代数的软滤子与格蕴涵代数的对偶软格理想之间的关系。得到了格蕴涵代数的软滤子像与原像的性质。

关键词: 软集, 格蕴涵代数, 滤子, 运算, 对偶软格理想, 像

LIAO Zuhua1，3，4, WANG Nini2，3，4, ZHENG Gaoping1，3，4, ZHANG Licheng1，3，4. Soft filters of lattice implication algebra[J]. Computer Engineering and Applications, 2015, 51(9): 72-76.

廖祖华1，3，4，王妮妮2，3，4，郑高平1，3，4，章里程1，3，4. 格蕴涵代数的软滤子[J]. 计算机工程与应用, 2015, 51(9): 72-76.

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Soft filters of lattice implication algebra

格蕴涵代数的软滤子

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