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BCK/BCI-algebra
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

Doubt N-ideals theory in BCK-algebras based on N-structures

Annals of Communications in Mathematics 2020

, 3 (1)

, 54-62

DOI: https://doi.org/10.62072/acm.2020.030106

AbstractThe notions of doubt N -subalgebras and doubt N -ideals in BCK-algebras are introduced, and related properties are investigated. Characterizations of a doubt N – subalgebra and a doubt N -ideal are given, and relations between them are discussed.
Open AccessArticle

A new form of generalized m-PF Ideals in BCK/BCI-algebras

Annals of Communications in Mathematics 2019

, 2 (1)

, 11-16

DOI: https://doi.org/10.62072/acm.2019.020102

AbstractIn this paper, we introduce a new kind of an m-polar fuzzy ideal of a BCK/ BCI-algebra called, an m-polar (∈, ∈ ∨q) fuzzy ideal and investigate some of its properties. Ordinary ideals and m-polar (∈, ∈ ∨ q) fuzzy ideals are connected by means of level cut subset.