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Št. zadetkov: 7
SBE-algebras via intuitionistic fuzzy structures
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei
Izvirni znanstveni članek
Oznake: BE-algebra;Sheffer stroke BE-algebra;BE-ideal;intuitionistic fuzzy SBE-subalgebra;intuitionistic fuzzy SBE-ideal;
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 ...
Leto: 2024 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Lukasiewicz fuzzy set theory applied to SBE-algebras
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei
Izvirni znanstveni članek
Oznake: BE-algebra;SBE-algebra;Lukasiewicz fuzzy set;Lukasiewicz fuzzy SBEsubalgebra;Lukasiewicz fuzzy SBE-ideal;
In this paper, we utilize the Lukasiewicz t-norm to construct a novel class of fuzzy sets, termed ζ-Lukasiewicz fuzzy sets, derived from a given fuzzy framework. These sets are then applied to the structure of Sheffer stroke BE-algebras (SBE-algebras). We introduce and examine the concepts of ζ-Luka ...
Leto: 2025 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
SR-fuzzy set theory applied to Sheffer stroke BG-algebras
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei
Izvirni znanstveni članek
Oznake: Sheffer stroke;BG-ideal;fuzzy SBG-subalgebra;fuzzy SBG-ideal;
The paper introduces and elucidates the concept of an SR-fuzzy SBG-subalgebra and a level set of an SR-fuzzy set within the framework of Sheffer stroke BG-algebras. These concepts play a pivotal role in comprehending the nuances of SR-logic within this algebraic setting. By establishing a correlati ...
Leto: 2025 Vir: Univerza v Novi Gorici (UNG)
ǂAn ǂinvestigation into bipolar fuzzy hoop algebras and their applications
Tahsin Oner, Neelamegarajan Rajesh, Ravi Kumar Bandaru, Hashem Bordbar
Izvirni znanstveni članek
Oznake: hoop;bipolar fuzzy sub-hoop;bipolar fuzzy ideal;
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 ...
Leto: 2025 Vir: Repozitorij Univerze v Novi Gorici (RUNG)
Bipolar fuzzy n-fold positive implicative and fantastic filters in hoop algebras with applications to fuzzy logic
Hashem Bordbar, Tahsin Oner, Neelamegarajan Rajesh, Ravi Kumar Bandaru, Firat Ates
Izvirni znanstveni članek
Oznake: hoop algebra;bipolar fuzzy n-fold positive implicative filter;bipolar fuzzy n-fold fantastic filter;
In this paper, we introduce and study the notion of bipolar fuzzy n-fold positive implicative  lters within the framework of hoop algebras, and examine their fundamental properties. We also define and investigate bipolar fuzzy n-fold fantastic  filters, thereby extending bipolar fuzzy set theory int ...
Leto: 2026 Vir: Univerza v Novi Gorici (UNG)
Sheffer stroke BCK-algebras via linear diophantine fuzzy structures
Amal S. Alali, Tahsin Oner, Ravi Kumar Bandaru, Neelamegarajan Rajesh, Hashem Bordbar
Izvirni znanstveni članek
Oznake: sheffer stroke;BCK-ideal;linear Diophantine fuzzy SBCK-subalgebra;linear Diophantine fuzzy SBCK-ideal;
This study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals, establishing fundamental connections between these fuzzy ...
Leto: 2026 Vir: Univerza v Novi Gorici (UNG)
Unifying bipolar and cubic set theories
Amal S. Alali, Hashem Bordbar, Ravi Kumar Bandaru, Neelamegarajan Rajesh, Tahsin Oner
Izvirni znanstveni članek
Oznake: Sheffer stroke Hilbert algebra;fuzzy subalgebra;fuzzy ideal;(cubic bipolar) ideal;
In recent years, the study of generalized fuzzy structures in algebraic systems has attracted considerable attention due to their ability to represent uncertainty and bipolar information. In this paper, we introduce the notion of cubic bipolar ideals in the framework of Sheffer stroke Hilbert algebr ...
Leto: 2026 Vir: Univerza v Novi Gorici (UNG)
Št. zadetkov: 7
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