Sun Shin Ahn (Avtor), Hashem Bordbar (Avtor), Young Bae Jun (Avtor)

Povzetek

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.

Ključne besede

interior BCK/BCI-algebras;positive implicative interior;BCK-algebras;(weak) interior ideals;positive implicative interior ideals;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UNG - Univerza v Novi Gorici
UDK: 51
COBISS: 71032067 Povezava se bo odprla v novem oknu
ISSN: 1875-6883
Št. ogledov: 1119
Št. prenosov: 42
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

URN: URN:SI:UNG
Strani: str. 1923-1933
Letnik: ǂVol. ǂ14
Zvezek: ǂno. ǂ1
Čas izdaje: 2021
DOI: 10.2991/ijcis.d.210622.002
ID: 13160414