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Title:A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras
Authors:Bordbar, Hashem (Author)
Bordbar, Mohammad Rahim (Author)
Jun, Young Bae (Author)
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Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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:ð2, 2_qkÞ-fuzzy subalgebra, k-left (k-right) ðqk, 2_qkÞ-fuzzy subalgebra, ð 2 _ qk, 2 _ qk Þ-fuzzy subalgebra, semidetached structure, semidetached subalgebra.
Year of publishing:2019
Number of pages:489-501
Numbering:15, 3
COBISS_ID:5492987 Link is opened in a new window
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
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Title:New Mathematics and Natural Computation (NMNC)
Shortened title:NMNC
Year of publishing:2019