| Title: | A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras |
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| Authors: | ID Bordbar, Hashem (Author)
ID Bordbar, Mohammad Rahim (Author)
ID Jun, Young Bae (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| 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. |
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| Publication version: | Version of Record |
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| Year of publishing: | 2019 |
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| Number of pages: | 489-501 |
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| Numbering: | 3, 15 |
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| PID: | 20.500.12556/RUNG-5164 |
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| COBISS.SI-ID: | 5492987 |
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| NUK URN: | URN:SI:UNG:REP:DOMSOXYA |
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| Publication date in RUNG: | 02.12.2019 |
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| Views: | 3638 |
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| Downloads: | 0 |
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