| Naslov: | An investigation into bipolar fuzzy hoop algebras and their applications |
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| Avtorji: | ID Oner, Tahsin (Avtor)
ID Rajesh, Neelamegarajan (Avtor)
ID Bandaru, Ravi Kumar (Avtor)
ID Bordbar, Hashem (Avtor) |
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| Datoteke: |  axioms-14-00338.pdf (320,89 KB)
MD5: 4F212B307E2944B8AEE9A6785054FD31
 https://www.mdpi.com/2075-1680/14/5/338
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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: | This paper introduces bipolar fuzzy sub-hoops and bipolar fuzzy filters within
hoop algebras, extending fuzzy logic to incorporate both positive and negative membership
degrees. We define these structures, explore their algebraic properties, and establish
their interplay through rigorous theorems. Key results include characterizations of bipolar
fuzzy filters via level sets and conditions under which they become implicative filters.
These findings enhance the theoretical framework of many-valued logic and offer practical
applications in decision-making, image processing, and spatial reasoning under uncertainty.
Our work provides a foundation for advanced fuzzy systems handling complex,
contradictory information. |
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| Ključne besede: | hoop, bipolar fuzzy sub-hoop, bipolar fuzzy ideal |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 22 str. |
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| Številčenje: | Vol. 14, iss. 5, [article no.] 338 |
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| PID: | 20.500.12556/RUNG-10013  |
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| COBISS.SI-ID: | 234549507 |
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| UDK: | 512 |
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| ISSN pri članku: | 2075-1680 |
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| DOI: | 10.3390/axioms14050338 |
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| NUK URN: | URN:SI:UNG:REP:EQKWAT10 |
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| Datum objave v RUNG: | 29.04.2025 |
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| Število ogledov: | 333 |
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| Število prenosov: | 2 |
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| Metapodatki: |    |
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