计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (11): 22-25.
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伏文清
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FU Wenqing
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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{(Fi,Ai)}#em/em#∈I的广义交和一族软BCK代数{(Fi,Ai)}#em/em#∈I（对任意#em/em#,j∈I，#em/em#≠j有Ai∩Aj=?)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。
关键词: 软集, BCK代数, 软BCK代数
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
伏文清. 软BCK代数再研究[J]. 计算机工程与应用, 2012, 48(11): 22-25.
FU Wenqing. Soft BCK algebra[J]. Computer Engineering and Applications, 2012, 48(11): 22-25.
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http://cea.ceaj.org/CN/Y2012/V48/I11/22
