Results 1 to 10 of about 53 (41)

Relation between Sheffer Stroke and Hilbert algebras [PDF]

Categories and General Algebraic Structures with Applications, 2021
In this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic
Tahsin Oner, Tugce Katican, Arsham Borumand Saeid   +2 more
doaj   +5 more sources

Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Annales Mathematicae Silesianae, 2023
The (fuzzy) filter of the Sheffer stroke Hilbert algebra was addressed by Oner, Katican and Borumand Saeid. The weak version of the filter was discussed by Jun and Oner. In this manuscipt, with the fuzzy version of the weak filter in mind, the notions of
Borzooei Rajab Ali, Rezaei Gholam Reza, Jun Young Bae   +2 more
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Sheffer Stroke Hilbert Algebras Stabilizing by Ideals

Axioms
This manuscript aims to provide a new characterization of Sheffer stroke Hilbert algebras due to their ideals and proposes stabilizers. In the setup of the main results, we construct particular subsets of Sheffer stroke Hilbert algebras and we propose ...
Tugce Katican, Hashem Bordbar
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Unifying Bipolar and Cubic Set Theories: Ideals in Sheffer Stroke Hilbert Algebras

Axioms
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.
Amal S. Alali, Hashem Bordbar, Ravikumar Bandaru, Rajesh Neelamegarajan, Tahsin Oner   +4 more
doaj   +2 more sources

On Sheffer Stroke Be-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce, Oner Tahsin, Saeid Arsham Borumand   +2 more
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Neutrosophic N −structures on Sheffer stroke Hilbert algebras

, 2021
In this study, a neutrosophic N −subalgebra and a level set of a neutrosophic N −structure are defined on Sheffer stroke Hilbert algebras. By determining a subalgebra on Sheffer stroke Hilbert algebras, it is proved that the level set of neutrosophic N −subalgebras on this algebra is its subalgebra and vice versa.
Oner T., Katican T., Saeid A.B.
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Dokdo Filters and Deductive Systems of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics, 2023
To investigate the filter and deductive system of the Schaefer stroke Hilbert algebra using the Dokdo structure, the concept of Dokdo filter and Dokdo deductive system is defined, examples are given, and various properties are investigated. The Dokdo filter is formed by attaching appropriate conditions to the given Dokdo structure. The characterization
Sun Shin Ahn, Hee Sik Kim, Seok-Zun Song, Young Bae Jun   +3 more
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On SR-fuzzy Sheffer stroke Hilbert algebras

Filomat
It is known that there are some extensions of fuzzy sets that can be used to solve various real-life problems. In this paper, we propose a novel extension of a fuzzy subalgebras, fuzzy ideals, and fuzzy filters. We define SR-fuzzy subalgebras, SR-fuzzy ideals and SR-fuzzy filters on Sheffer stroke Hilbert algebras. Moreover, we provide some examples to
Tahsin Oner, Neelamegarajan Rajesh, Akbar Rezai, Ravikumar Bandaru   +3 more
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Generalized Fuzzy Subalgebras of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
This paper introduces new generalized fuzzy subalgebras and investigates their important properties within the framework of Sheffer stroke Hilbert algebras. We characterize these generalized subalgebras through their level subsets and establish key properties that define their structure.
Neelamegarajan Rajesh, Aiyared Iampan, Tahsin Oner, Arsham Borumand Saeid   +3 more
openaire   +2 more sources

On Interval-Valued Intuitionistic Fuzzy Subalgebras of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
This paper explores the structure of interval-valued intuitionistic fuzzy (IVIF) subsets within the framework of Sheffer stroke Hilbert algebras (SSHAs). After establishing the foundational definitions of interval-valued intuitionistic fuzzy Sheffer stroke subalgebras (IVIFSS-subalgebras), we investigate their algebraic properties, closure under ...
Aiyared Iampan, Neelamegarajan Rajesh, Tahsin Oner, Firat Ates, Kannan Geetha, Arsham Borumand Saeid   +5 more
openaire   +2 more sources