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1.
An investigation into bipolar fuzzy hoop algebras and their applications
Tahsin Oner, Neelamegarajan Rajesh, Ravi Kumar Bandaru, Hashem Bordbar, 2025, izvirni znanstveni članek

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.
Ključne besede: hoop, bipolar fuzzy sub-hoop, bipolar fuzzy ideal
Objavljeno v RUNG: 29.04.2025; Ogledov: 527; Prenosov: 4
.pdf Celotno besedilo (320,89 KB)
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2.
SBE-algebras via intuitionistic fuzzy structures
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei, 2024, izvirni znanstveni članek

Opis: The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa.
Ključne besede: BE-algebra, Sheffer stroke BE-algebra, BE-ideal, intuitionistic fuzzy SBE-subalgebra, intuitionistic fuzzy SBE-ideal
Objavljeno v RUNG: 06.01.2025; Ogledov: 1266; Prenosov: 6
.pdf Celotno besedilo (338,30 KB)
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