计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (11): 22-25.

• 博士论坛 • 上一篇    下一篇

软BCK代数再研究

伏文清   

  1. 西安工业大学 理学院,西安 710032
  • 出版日期:2012-04-11 发布日期:2012-04-16

Soft BCK algebra

FU Wenqing   

  1. School of Science, Xi’an Technological University, Xi’an 710032, China
  • Online:2012-04-11 Published:2012-04-16

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#,jI,#em/em#≠jAiAj=?)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