Anas Al-Masarwah
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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.
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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.
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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.