| Naslov: | Interior BCK/BCI-algebras |
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| Avtorji: | ID Ahn, Sun Shin (Avtor)
ID Bordbar, Hashem (Avtor)
ID Jun, Young Bae (Avtor) |
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| Datoteke: |  https://www.atlantis-press.com/journals/ijcis/125958354
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Neznano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | UNG - Univerza v Novi Gorici
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| Opis: | The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra in relation to any interior BCKalgebra so that the set of all involutions of a bounded BCK-algebra can be an interior BCK-algebra. The relationship between interior ideals, weak interior ideals, and positive implicative interior ideals is established. The conditions under which a weak interior ideal can change to an interior ideal are founded. The conditions for an interior ideal to be a positive implicative interior ideal are provided. The scalability for a positive implicative interior ideal is discussed. The relationship between type 1, type 2, and type 3 on positive implicative weak interior ideals are investigated. The relationship between weak interior ideal and positive implicative weak interior ideal of type 1, type 2, and type 3 are established. |
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| Ključne besede: | interior BCK/BCI-algebras, positive implicative interior, BCK-algebras, (weak) interior ideals, positive implicative interior ideals |
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| Leto izida: | 2021 |
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| Št. strani: | str. 1923-1933 |
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| Številčenje: | Vol. 14, no. 1 |
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| PID: | 20.500.12556/RUNG-6654  |
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| COBISS.SI-ID: | 71032067 |
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| UDK: | 51 |
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| ISSN pri članku: | 1875-6883 |
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| DOI: | 10.2991/ijcis.d.210622.002 |
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| NUK URN: | URN:SI:UNG:REP:FTW3MG8A |
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| Datum objave v RUNG: | 21.07.2021 |
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| Število ogledov: | 2704 |
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| Število prenosov: | 47 |
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| Metapodatki: |    |
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