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A Generalization of Semidetached Subalgebras in <i>BCK</i>/<i>BCI</i>-algebras
- Issue Date
- Nov-2019
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- ((is an element of)over-bar, (is an element of)over-bar boolean OR (q(kappa))over-bar-fuzzy subalgebra; kappa-left (kappa-right) (q(kappa),is an element of boolean OR q(kappa))-fuzzy subalgebra; ((subset of)over-bar, (q(kappa))over-bar, (subset of)over-bar boolean OR (q(kappa))over-bar-fuzzy subalgebra; semidetached structure; semidetached subalgebra
- Citation
- NEW MATHEMATICS AND NATURAL COMPUTATION, v.15, no.3, pp 489 - 501
- Pages
- 13
- Indexed
- SCOPUS
ESCI
- Journal Title
- NEW MATHEMATICS AND NATURAL COMPUTATION
- Volume
- 15
- Number
- 3
- Start Page
- 489
- End Page
- 501
- ISSN
- 1793-0057
1793-7027
- 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 ((is an element of) over bar, (is an element of) over bar boolean OR (q(kappa)) over bar -fuzzy subalgebra, kappa-left q(kappa),is an element of boolean OR q(kappa))-fuzzy subalgebra and ((is an element of) over bar boolean OR (q(kappa)) over bar, (is an element of) over bar boolean OR (q(kappa)) over bar)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.
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