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Class of Sheffer stroke BCK-algebras [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent.
Oner Tahsin, Kalkan Tugce, Saeid Arsham Borumand   +2 more
doaj   +3 more sources

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

On Sheffer Stroke Be-Algebras [PDF]

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
doaj   +3 more sources

Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras [PDF]

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
doaj   +4 more sources

On Sheffer Stroke Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
In this paper, we introduce Sheffer Stroke UP-algebra (in short, SUP-algebra) and study its properties. We demonstrate that the Cartesian product of two SUP-algebras is a SUP-algebra.
Oner Tahsin, Katican Tugce, Saeid Arsham Borumand   +2 more
doaj   +3 more sources

Congruences of Sheffer stroke basic algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, congruences and (order, prime and compatible) filters are introduced in Sheffer stroke basic algebras. They are interrelated with each other.
Senturk Ibrahim, Oner Tahsin, Saeid Arsham Borumand   +2 more
doaj   +4 more sources

Bipolar Fuzzy Sheffer Stroke in BCK-Algebras

Axioms
In this study, we examine bipolar fuzzy SBCK-subalgebras and their corresponding level sets of bipolar fuzzy sets in the setting of Sheffer stroke BCK-algebras.
Tahsin Oner, Rajesh Neelamegarajan, Ravi Kumar Bandaru, Amal S. Alali   +3 more
doaj   +3 more sources

Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras [PDF]

Neutrosophic Sets and Systems, 2021
The aim of the study is to examine a neutrosophic N −subalgebra, a neutrosophic N −filter, level sets of these neutrosophic N −structures and their properties on a strong Sheffer stroke non-associative MV-algebra.
Tahsin Oner, Tugce Katican, Akbar Rezaei
doaj   +5 more sources

Neutrosophic N − structures on Sheffer stroke BCH-algebras [PDF]

Neutrosophic Sets and Systems, 2022
The aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N −subalgebra (neutrosophic N −ideal) of a Sheffer stroke BCH-algebra is its ...
Tahsin Oner, Tugce Katican, Akbar Rezaei
doaj   +3 more sources

Filters of strong Sheffer stroke non-associative MV-algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied.
Oner Tahsin, Katican Tugce, Saeid Arsham Borumand, Terziler Mehmet   +3 more
doaj   +2 more sources