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BCK-algebra
Open AccessArticle

Direct product of anti N-H-ideals in BCK-algebras

Annals of Communications in Mathematics 2020

, 3 (4)

, 309-316

DOI: https://doi.org/10.62072/acm.2020.030408

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.
Open AccessArticle

Hesitant intuitionistic fuzzy soft b-ideals of BCK-algebras

Annals of Communications in Mathematics 2020

, 3 (1)

, 26-34

DOI: https://doi.org/10.62072/acm2020030103

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.