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Study of the Pseudo-Valuation Functions on Hyper BCK-Algebras
- Authors
- Bakhshi, M.; Ahn, S. S.; Jun, Y. B.; Borzooei, R. A.
- Issue Date
- Dec-2026
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Hyper BCK-algebra; pseudo valuation; positive implicative pseudo valuation; implicative pseudo valuation; commutative pseudo valuation
- Citation
- New Mathematics and Natural Computation, v.22, no.4, pp 1241 - 1268
- Pages
- 28
- Indexed
- SCOPUS
ESCI
- Journal Title
- New Mathematics and Natural Computation
- Volume
- 22
- Number
- 4
- Start Page
- 1241
- End Page
- 1268
- ISSN
- 1793-0057
1793-7027
- Abstract
- 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.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)