格蕴涵代数的软滤子

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。%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.