摘要
将Molodtsov的软集理论应用到结合BCI代数中,引进了软结合BCI代数的概念,举出实例证明了软结合BCI代数的存在性,讨论了软结合BCI代数和软BCI代数之问的关系,研究了软结合BCI代数的扩展交、限制交、限制并、限制差、限制乘积等运算性质.最后,研究了软结合BCI代数的结构性质.
The paper applies Molodtsov＇s soft set theory to associative BCI-algebra. The notion of soft associative BCI-Mgebras is introduced. We also give some specific examples to prove the existence of soft associative BCI-Mgebras. The relations between the soft associa- tive BCI-algebra and soft BCI-algebra are discussed. Furthermore, the extended intersection, restricted intersection, restricted difference and restricted product operation of soft associative BCI-algebras are studied. Finally, we investigate the structure properties of soft associative BCI-algebras.
出处
《数学进展》
CSCD
北大核心
2016年第4期500-508,共9页
Advances in Mathematics（China）
基金
国家自然科学基金(No.61175055
No.11461025)
福建省自然科学基金(No.2013J01017)
福建省引导性项目(No.2016Y0077)
关键词
软集
软结合BCI代数
扩展交
限制交
限制乘积
soft set
soft associative BCI-algebra
extended intersection
restricted intersection
restricted product
