(α,β)((λ_1,λ_2))-模糊BCK-滤子

(α,β)((λ_1,λ_2))-Fuzzy BCK-filters

应用模糊点和模糊子集之间的关系,引入了BCK-代数的(α,β)((∈,∈∨q))-模糊BCK-滤子的概念,研究了BCK-代数的(α,β)-模糊BCK-滤子的性质,给出了BCK-代数的模糊子集为(∈,∈∨q)-模糊BCK-滤子的充要条件.随后又将BCK-代数的模糊BCK-滤子的概念做了进一步推广,给出了BCK-代数的(λ1,λ2)((∈,∈∨q(λ1,λ2)))-模糊BCK-滤子的概念,并讨论了(λ1,λ2)-模糊BCK-滤子和(∈,∈∨q(λ1,λ2))-模糊BCK-滤子之间的关系.

In this paper,by the use of the relations between fuzzy points and fuzzy subsets,the notion of（α,β）（（∈,∈∨q））-fuzzy BCK-filters is introduced.Then,the properties of（α,β）-fuzzy BCK-filters are investigated;some necessary and sufficient conditions that a fuzzy subset is a（∈,∈∨q））-fuzzy BCK-filters of BCK-algebras are given.Moreover,the concept of fuzzy BCK-filters is generalized,the definition of（λ1,λ2）（（∈,∈∨q（λ1,λ2）））-fuzzy BCK-filters is given,and the relation between（λ1,λ2）-fuzzy BCK-filters and（∈,∈∨q（λ1,λ2））-fuzzy BCK-filters is described.