剩余格上的(∈,∈∨q)-模糊滤子

(∈,∈∨q)-fuzzy filters of residuated lattice

在剩余格上引入了(∈,∈∨q)-模糊滤子的概念,初步讨论了它的一些性质和等价条件,与之对应地讨论了(∈,∈∨q)-模糊滤子的性质,最后得到模糊滤子、(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子之间的关系。

The concept of（∈,∈∨q）-fuzzy filters is introduced in residuated lattice,some of its properties and the equivalent conditions are discussed preliminarily,correspondingly,the properties of（∈,∈∨q）-fuzzy filter are discussed.Finally,the relations among fuzzy filters,（∈,∈∨q）-fuzzy filters,（∈,∈∨q）-fuzzy filters are investigated.