| Title: | An investigation into bipolar fuzzy hoop algebras and their applications |
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| Authors: | ID Oner, Tahsin (Author)
ID Rajesh, Neelamegarajan (Author)
ID Bandaru, Ravi Kumar (Author)
ID Bordbar, Hashem (Author) |
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| Files: |  axioms-14-00338.pdf (320,89 KB)
MD5: 4F212B307E2944B8AEE9A6785054FD31
 https://www.mdpi.com/2075-1680/14/5/338
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| Language: | English |
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| Work type: | Unknown |
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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: | 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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| Keywords: | hoop, bipolar fuzzy sub-hoop, bipolar fuzzy ideal |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 22 str. |
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| Numbering: | 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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| UDC: | 512 |
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| ISSN on article: | 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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| Publication date in RUNG: | 29.04.2025 |
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| Views: | 395 |
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| Downloads: | 2 |
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| Metadata: |    |
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