ǂA ǂgeneralization of semidetached subalgebras in BCK/BCI-algebras

Hashem Bordbar (Author), Mohammad Rahim Bordbar (Author), Young Bae Jun (Author)

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

semidetached structure;semidetached subalgebra;fuzzy subalgebra;

Data

Language:	English
Year of publishing:	2019
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	512
COBISS:	5492987
ISSN:	1793-0057
Views:	2097
Downloads:	0
Average score:	0 (0 votes)
Metadata:

Other data

URN:	URN:SI:UNG
Type (COBISS):	Not categorized
Pages:	str. 489-501
Volume:	ǂVol. ǂ15
Issue:	ǂno. ǂ3
Chronology:	2019
DOI:	10.1142/S1793005719500285
ID:	11316054