Soft BCI-implicative ideals of soft BCI-algebras


Muhammad Touqeer




The notion of soft BCI-implicative ideals and BCI-implicative idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft BCI-implicative ideals of soft BCI-algebras are provided. Also idealistic soft BCI-algebras and BCI-implicative idealistic soft BCI-algebras are being related. The intersection, union, ``AND" operation and ``OR" operation of soft BCI-implicative ideals and BCI-implicative idealistic soft BCI-algebras are established. The characterizations of (fuzzy) BCI-implicative ideals in BCI-algebras are given by using the concept of soft sets. Relations between fuzzy BCI-implicative ideals and BCI-implicative idealistic soft BCI-algebras are discussed.