新型软亚BCI-代数的进一步研究  

Further study on new type of soft weak-BCI-algebras. Computer Engineering and Applications

作　　者：黄昱[1] 廖祖华[2] 李论 HUANG Yu;LIAO Zuhua;LI Lun(Wuxi Taihu University,Wuxi,Jiansu 214064,China;School of Science,Jiangnan University,Wuxi,Jiansu 214122,China;Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]无锡太湖学院,江苏无锡214064 [2]江南大学理学院,江苏无锡214122 [3]中国科学院数学与系统科学研究院,北京100190

出　　处：《计算机工程与应用》2018年第23期31-35,67,共6页Computer Engineering and Applications

基　　金：国家自然科学基金(No.61170121);江苏省自然科学基金(No.BK20151117);无锡太湖学院自然科学基金(No.16WUNS006)

摘　　要：提出了两个亚BCI-代数的并代数、两个软集在并代数上的扩展交、软集的软平移以及两个软集的合成运算等新概念。举例说明了并代数以及在并代数上扩展交的存在性。证明了两个新型软亚BCI-代数在一定的条件下在并代数上的扩展交仍然是新型软亚BCI-代数。研究了新型软亚BCI-代数的软平移及投影等的相关性质。另外,利用两个软集的合成运算、软集的水平集以及广义特征函数分别给出了新型软亚BCI-代数的等价刻画。The notions of union algebra of two weak-BCI-algebras,extended intersection of two soft sets on union algebra,soft translation of soft set and composite operation of two soft sets are proposed.Examples are given to illustrate the existence of union algebra and extended intersection on union algebra.It is proved that the extended intersection of two new type soft weak-BCI-algebras on union algebra is also the new type of soft weak-BCI-algebra under certain condition.The properties of soft translation and projection of the new type of soft weak-BCI-algebra are studied.Furthermore,by applying compositional operation,the level set of soft set and generalized characteristic function,the equivalent characterizations of the new type of soft weak-BCI-algebra are obtained respectively.

关 键 词：软亚BCI-代数 软集 并代数 合成运算 软平移 投影 

分 类 号：O159[理学—数学]