Abstract:

 We used the concept of soft sets and its related operations in FI-algebras problem research. Firstly,  the notion of filteristic soft FIalgebras  are introduced and their some algebraic properties are discussed. Secondly, several necessary and sufficient conditions of a fuzzy set to be fuzzy MP-filter and (∈,∈∨ q)-fuzzy MP-filter in FI-algebras are given by applying the notion of filteristic soft FI-algebras.

Key words: FI-algebra; soft set; filteristic soft FI-algebra; fuzzy MP-filter; (∈,∈∨q)-fuzzy MP-filter