Annals of Communications in Mathematics

AbstractIn this paper, we introduce the notion of anti N -H-ideals of a BCK-algebra. Then, the notion of the direct product of two anti N -H-ideals by using minimum operation is introduced, and some related properties are studied. Ordinary H-ideals are linked with anti N -H-ideals by means of an anti N -s-level set of the direct product of two N – structures.

AbstractIn this paper, we establish the concept of hesitant intuitionistic fuzzy soft ideals and hesitant intuitionistic fuzzy soft b-ideals are introduced and investigated. Also, the power-m, and ρ-multiply are defined in the hesitant intuitionistic fuzzy soft set theory to BCK-algebras. Finally, the newly introduced notions of the complement of a hesitant intuitionistic soft set (ideals and b-ideals) are discussed.