Abstract
The notion of soft BCI-implicative ideals and BCI-implica- tive idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft BCI-implicative ide- als 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 be- tween fuzzy BCI-implicative ideals and BCI-implicative idealistic soft BCI-algebras are discussed.
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