格蕴涵代数的软LI-理想

摘要

By means of soft set, the concepts of soft LI-ideals of lattice implication algebra are introduced, some of their properties such as intersection and AND are studied. Then its equivalent characterization is discussed. In addition, the rela-tionship between a soft LI-ideal of lattice implication algebra and a soft lattice ideal of lattice implication algebra is inves-tigated. The properties about image and preimage of a soft LI-ideal of lattice implication algebra are obtained.%借助软集合，提出了格蕴涵代数的软LI-理想的概念，研究了软集运算下的一些诸如交、且等基本性质，并给出了格蕴涵代数的软LI-理想的一些等价刻画。此外，研究了格蕴涵代数的软LI-理想与格蕴涵代数的软格理想之间的关系。得到了格蕴涵代数的软LI-理想像与原像的性质。