软结合BCI代数  

Soft Associative BCI-algebras

作　　者：刘用麟[1] 黄艺娟[1] 

机构地区：[1]武夷学院数学与计算机学院,武夷山福建354300

出　　处：《数学进展》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)

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.

关 键 词：软集 软结合BCI代数 扩展交 限制交 限制乘积 

分 类 号：O153.1[理学—数学] O141.1[理学—基础数学]