中文摘要：

给出BCI代数的软关联理想和软正定关联理想的概念,讨论软理想、软关联理想和软正定关联理想三者之间的关系,研究了两个软关联理想（软正定关联理想）的扩展交、限制交、限制并和限制差分的性质。

英文摘要：

The aim of this paper is to introduce the notions of soft implicative ideals and soft positive implicative ideals of BCI-algebras and investigate some of their properties.The relations among the soft ideals,the soft implicative ideals and the soft positive implicative ideals are discussed.Furthermore,the extended intersection operation,the restricted intersection operation,the restricted union operation and the restricted difference operation of two soft implicative ideals（soft positive implicative ideals） are studied.