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Naslov:Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows
Avtorji:ID Bordbar, Hashem (Avtor)
ID Long Xin, Xiao (Avtor)
ID Borzooei, Rajab Ali (Avtor)
ID Jun, Young Bae (Avtor)
Datoteke: Gradivo nima datotek, ki so prostodostopne za javnost. Gradivo je morda fizično dosegljivo v knjižnici fakultete, zalogo lahko preverite v COBISS-u. Povezava se odpre v novem oknu
Jezik:Angleški jezik
Vrsta gradiva:Neznano
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UNG - Univerza v Novi Gorici
Opis:Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, ”A” in relation to its opposite, ”Anti-A” and that which is not A, ”Non-A”, and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. In this article, we apply the notion of neutrosophic set theory to (positive implicative) ideals in BCK-algebras by using the concept of falling shadows. The notions of a positive implicative (∈, ∈)-neutrosophic ideal and a positive implicative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of a positive implicative (∈, ∈)-neutrosophic ideal are considered, and relations between a positive implicative (∈, ∈)-neutrosophic ideal and an (∈, ∈)-neutrosophic ideal are discussed. Conditions for an (∈, ∈)-neutrosophic ideal to be a positive implicative (∈, ∈)-neutrosophic ideal are provided, and relations between a positive implicative (∈, ∈)-neutrosophic ideal, a falling neutrosophic ideal and a positive implicative falling neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be positive implicative are provided.
Ključne besede:neutrosophic random set, neutrosophic falling shadow, neutrosophic ideal, (positive implicative) falling neutrosophic ideal
Leto izida:2022
Št. strani:str. 9-30
Številčenje:Vol. 48, 1
PID:20.500.12556/RUNG-7363 Novo okno
COBISS.SI-ID:110636803 Novo okno
UDK:512
ISSN pri članku:2331-6055
DOI:10.5281/zenodo.6041290 Novo okno
NUK URN:URN:SI:UNG:REP:XCJSVA5J
Datum objave v RUNG:06.06.2022
Število ogledov:1619
Število prenosov:0
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Gradivo je del revije

Naslov:Neutrosophic sets and systems
Skrajšan naslov:Neutrosophic sets syst.
Založnik:Department of Mathematics and Science, University of New Mexico
ISSN:2331-6055
COBISS.SI-ID:526970905 Novo okno

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