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Young Bae Jun
Open AccessArticle

Prime and irreducible UP-filters of meet-commutative UP-algebras

Annals of Communications in Mathematics 2021

, 4 (2)

, 106-113

DOI: https://doi.org/10.62072/acm.2021.040202

AbstractIn this article, we give a number of important properties of meet-commutative UP-algebras. In the class of these UP-algebras, we introduce and analyze the concepts of prime and irreducible UP-filters.
Open AccessArticle

New approach towards A-ideals in ternary semirings

Annals of Communications in Mathematics 2021

, 4 (2)

, 114-125

DOI: https://doi.org/10.62072/acm.2021.040203

AbstractTo interact somebody with someone various almost ideals (shortly A -ideals), quasi A -ideals, bi quasi A -ideals, tri A -ideals and tri quasi A -ideals in ternary semiring and give some characterizations. We develop the implications ideal =⇒ quasi ideal =⇒ two sided bi quasi ideal =⇒ two sided tri quasi ideal =⇒ two sided tri quasi A -ideal =⇒ two sided bi quasi A -ideal =⇒ bi A -ideal =⇒ quasi A -ideal =⇒ A -ideal and reverse implications do not holds with examples. We show that the union of A -ideals (bi A -ideals, quasi A -ideals, bi quasi A -ideals) is a A -ideal (bi A -ideal, quasi A -ideal, bi quasi A -ideal) in ternary semiring.
Open AccessArticle

Generalizations of implication-based fuzzy subalgebras in BCK/BCI-algebras

Annals of Communications in Mathematics 2021

, 4 (2)

, 180-189

DOI: https://doi.org/10.62072/acm.2021.040211

AbstractIn [2], Jun discussed implication-based subalgebras in BCK/BCI-algebras. In this article, more general forms than Jun’s results are discussed. We provide an example to show that a fuzzy subalgebra with thresholds 0 and 0.5 is not an implication-based subalgebra under the Łuckasiewicz implication operator, and then conditions for a fuzzy subalgebra with thresholds 0 and 0.5 to be an implication-based subalgebra under the Łuckasiewicz implication operator are provided.
Open AccessArticle

A generalization of (∈, ∈ ∨q)-fuzzy ideals in ternary semigroups

Annals of Communications in Mathematics 2019

, 2 (2)

, 73-83

DOI: https://doi.org/10.62072/acm.2019.020202

AbstractThe notion of (α, e βe)-fuzzy left (right, lateral) ideal is introduced, and related properties are investigated. Also, characterizations of an (∈, ∈ ∨ q δ 0 )-fuzzy left (resp., right, lateral) ideal are provided. Moreover, relations between (∈, ∈ ∨ q δ 0 )-fuzzy left (resp., right, lateral) ideal and (q δ 0 , ∈ ∨q δ 0 )-fuzzy left (resp., right, lateral) ideal are established.
Open AccessArticle

Intuitionistic bipolar neutrosophic set and its application to intuitionistic bipolar neutrosophic graphs

Annals of Communications in Mathematics 2019

, 2 (2)

, 121-140

DOI: https://doi.org/10.62072/acm.2019.020206

AbstractThis manuscript is devoted to study a new concept of intuitionistic bipolar neutrosophic set with the operations like union, intersection and complement. Also, an application to intuitionistic bipolar neutrosophic graph with examples are developed. Further, we presented the Cartesian product, cross product, lexicographic product and strong product with suitable examples
Open AccessArticle

Sup-hesitant fuzzy subalgebras and its translations and extensions

Annals of Communications in Mathematics 2019

, 2 (1)

, 48-56

DOI: https://doi.org/10.62072/acm.2019.020106

AbstractIn BCK/BCI-algebras, the notion of Sup-hesitant fuzzy subalgebra is introduced, and related properties are investigated. Characterizations of a Sup-hesitant fuzzy subalgebra are discussed. Sup-hesitant fuzzy translation and Sup-hesitant fuzzy extension of Sup-hesitant fuzzy subalgebras are introduced, and their relations are investigated.