在剩余格上引入了模糊滤算子,讨论了它的一些性质。特别地,将这类算子应用到EQ-代数研究中,给出了格EQ-代数和好的EQ-代数的模糊滤算子刻画,分离的EQ-代数的模糊自同态算子刻画。
In this paper,a class of fuzzy filter operators on residuated lattice is introduced,and some properties are discussed.Particularly,we apply fuzzy filter operators to the study of EQ-algebra,and give the characterizations of lattice EQ-algebra,separate lattice EQ-algebra and good lattice EQ-algebra by fuzzy filter operator