A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras

Hashem Bordbar, Mohammad Rahim Bordbar () and Young Bae Jun ()
Additional contact information
Hashem Bordbar: Center for Information Technology and Applied Mathematics, University of Nova Gorica, Slovenia
Mohammad Rahim Bordbar: Department of Physics, University of Qom, Qom, Iran
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 03, 489-501

Abstract: Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK∕BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK∕BCI-algebras to be a semidetached subalgebra are provided. The concepts of (∈¯,∈¯∨qk¯)-fuzzy subalgebra, k-left (k-right) (qk,∈∨qk)-fuzzy subalgebra, (qk¯,∈¯∨qk¯)-fuzzy subalgebra and (∈¯∨qk¯,∈¯∨qk¯)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.

Keywords: (∈¯; ∈¯∨qk¯)-fuzzy subalgebra; k-left (k-right) (qk; ∈∨qk)-fuzzy subalgebra; (∈¯∨qk¯; ∈¯∨qk¯)-fuzzy subalgebra; semidetached structure; semidetached subalgebra (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005719500285
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:15:y:2019:i:03:n:s1793005719500285

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005719500285

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().