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M. Balamurugan
Open AccessArticle

Hesitant anti-intuitionistic fuzzy soft commutative ideals of BCK-algebras

Annals of Communications in Mathematics 2020

, 3 (2)

, 158-170

DOI: https://doi.org/10.62072/acm.2020.030205

AbstractIn this paper, the notions of hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals of BCI-algebras and hesitant anti-intuitionistic fuzzy soft subcommutative ideals of BCK-algebras are introduced and their related properties are investigate. Relations between a hesitant anti-intuitionistic fuzzy soft ideals and hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals are discussed. Conditions for a hesitant anti-intuitionistic fuzzy soft ideal to be a hesitant anti-intuitionistic fuzzy soft BCIcommutative ideal are provided. Finally, it is proved that a hesitant anti-intuitionistic fuzzy soft p-ideal is a hesitant anti-intuitionistic fuzzy soft sub-commutative ideal in a BCKalgebra.
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.