Abstract: Generalized intersection and generalized union of a class of soft BCK algebras are studied, it is proved that the generalized intersection of a class of soft BCK algebras [{(Fi,Ai)}i∈I] and the generalized union of a class of soft BCK algebras [{(Fi,Ai)}i∈I]（for any [i,j∈I], [i≠j], [Ai?Aj=?)]on a set [X]are also BCK algebras on [X], the intersection, generalized intersection and generalized union of a class of soft sub-algebras of a soft BCK algebra [(G,B)] on [X] are also soft sub-algebras of [(G,B)].

Key words: soft set, BCK algebra, soft BCK algebra

摘要： 给出了软BCK代数的广义交运算和广义并运算，证明了一个集合X上的一族软BCK代数{(F_i,A_i)}_#em/em#∈I的广义交和一族软BCK代数{(F_i,A_i)}_#em/em#∈I（对任意#em/em#,j∈I，#em/em#≠j有A_i∩A_j=?)的广义并仍然是X上的软BCK代数，集合X上的软BCK代数(G,B)的一族软子代数的交、广义交和广义并仍是(G,B)的软子代数。