软BCI-代数的软α-理想  

Soft a-ideals of soft BCI-algebras

作　　者：刘用麟[1] 黄文娟[1] 

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《数学的实践与认识》2013年第24期237-243,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61175055);福建省自然科学基金(2013J01017);福建省科技重点项目(2011Y0049)

摘　　要：将软集理论应用到BCI-代数的理想中,引进了软BCI-代数的软a-理想的概念,举出实例证明了软BCI-代数软a-理想的存在性.讨论了软a-理想与软理想、软a-理想与软p-理想之间的关系.研究了两个软a-理想的扩展交、限制交以及限制差等性质.给出了软a-理想的扩张性质.The paper apRlies the soft set theory to ideals of BCI-algebras. The notion of soft α-ideals of soft BCI-algebras is introduced, we also give some specific examples to prove the existence of soft α-ideals of soft BCI-algebras. The relations between the soft ideas and soft α-ideals, and the relations between soft α-ideals and soft p-ideals are discussed. Furthermore, the extended intersection operation, the restricted intersection operation and the restricted difference operation of soft α-ideals are studied. The extension property of soft α-ideals are obtained.

关 键 词：软集 BCI-代数的软α-理想 扩展交 限制交 限制差 

分 类 号：O153[理学—数学]