TY - JOUR
T1 - Study of the Pseudo-Valuation Functions on Hyper BCK-Algebras
AU - Bakhshi, M.
AU - Ahn, S. S.
AU - Jun, Y. B.
AU - Borzooei, R. A.
N1 - Publisher Copyright:
© 2026 World Scientific Publishing Company.
PY - 2025
Y1 - 2025
N2 - In this paper, the notions of some kinds of pseudo valuations such as positive implicative pseudo valuation, (weak) implicative pseudo valuation, and commutative pseudo valuation in different types, are examined. Several examples, properties and characterizations of them are given as well. The relationships between them and the substructures of hyper BCK-algebras are investigated, too. Finally, by giving various examples and theorems, the relationships among the proposed pseudo valuations are investigated and characterized, especially in hyper BCK-algebras with three elements.
AB - In this paper, the notions of some kinds of pseudo valuations such as positive implicative pseudo valuation, (weak) implicative pseudo valuation, and commutative pseudo valuation in different types, are examined. Several examples, properties and characterizations of them are given as well. The relationships between them and the substructures of hyper BCK-algebras are investigated, too. Finally, by giving various examples and theorems, the relationships among the proposed pseudo valuations are investigated and characterized, especially in hyper BCK-algebras with three elements.
KW - commutative pseudo valuation
KW - Hyper BCK-algebra
KW - implicative pseudo valuation
KW - positive implicative pseudo valuation
KW - pseudo valuation
UR - https://www.scopus.com/pages/publications/105009429348
U2 - 10.1142/S1793005726500547
DO - 10.1142/S1793005726500547
M3 - Article
AN - SCOPUS:105009429348
SN - 1793-0057
JO - New Mathematics and Natural Computation
JF - New Mathematics and Natural Computation
ER -