Results 1 to 10 of about 35 (26)

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   +4 more sources

A New Perspective on Intuitionistic Fuzzy Structures in Sheffer Stroke BCK-Algebras

Axioms
This study introduces the concept of an intuitionistic fuzzy SBCK-subalgebra (SBCK-ideal) and explores the level set of an intuitionistic fuzzy set within the context of Sheffer stroke BCK-algebras.
Ravi Kumar Bandaru, Rajesh Neelamegarajan, Tahsin Oner, Amal S. Alali   +3 more
doaj   +4 more sources

Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures

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

(ANTI) FUZZY IDEALS OF SHEFFER STROKE BCK-ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
The aim of this study is to introduce (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these structures are ...
Tahsin Oner, T Kalkan, Arsham Borumand Saeid   +2 more
doaj   +3 more sources

Class of Sheffer stroke BCK-algebras

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   +2 more sources

Axiomatic analysis of state operators in Sheffer stroke BCK-algebras associated with algorithmic approaches

AIMS Mathematics
<p>In this paper, we have presented a novel exploration of the construction of Riečan, Bosbach, internal, and general states within the framework of Sheffer stroke BCK-algebra $ \mathcal{B} $. We highlighted the originality of our work by examining key characteristics and the independence of the axiomatic systems associated with these states ...
Ibrahim Senturk, Tahsin Oner, Burak Ordin   +2 more
exaly   +5 more sources

Neutrosophic N−Ideals on Sheffer Stroke BCK-Algebras

Journal of the Indonesian Mathematical Society, 2023
In this study, a neutrosophic N −subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this algebra and vice versa.
Oner, T., Katican, T., Rezaei, A.
openaire   +2 more sources

Sheffer stroke branching of BCK-algebras

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
The main objective of the study is to introduce branches of Sheffer stroke BCK-algebras due their specific elements. At the onset of the study, an atom of a Sheffer stroke BCK-algebra is defined and it is shown that the set of all atoms of the algebraic structure is its subalgebra.
openaire   +2 more sources

Operations and structures derived from non-associative MV-algebras. [PDF]

Soft comput, 2019
Chajda I, Halaš R, Länger H.
europepmc   +1 more source

Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras

New Mathematics and Natural Computation, 2022
The main objective of the study is to introduce a hesitant fuzzy structures on Sheffer stroke BCK-algebras related to their subsets (subalgebras as possible as). Then it is proved that every hesitant fuzzy ideal of a Sheffer stroke BCK-algebra related to the subset is the hesitant fuzzy subalgebra.
Oner, Tahsin, Katican, Tugce, Saeid, Arsham Borumand   +2 more
openaire   +2 more sources