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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 +4 more
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Sheffer stroke branching of BCK-algebras
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü DergisiThe 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.
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Neutrosophy Revisited: Formalizing Core Concepts from Nidus idearum (Book Series) and Related Research [PDF]
Uncertainty permeates most real-world contexts, motivating mathematical frameworks that can faithfully represent vagueness, inconsistency, and incomplete information. Classical approaches include fuzzy sets and intuitionistic fuzzy sets.
Fujita, T., Smarandache, Florentin
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Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras [PDF]
, 2021 Katican, Tugce +2 more
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Neutrosophic Sets and Systems, Vol.50, 2022 [PDF]
, 2022 Abdel-Basset, Mohamed +2 more
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Operations and structures derived from non-associative MV-algebras. [PDF]
Soft comput, 2019 Chajda I, Halaš R, Länger H.
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Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras
New Mathematics and Natural Computation, 2022The 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.
Katican, Tugce +2 more
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(Anti) fuzzy ideals of Sheffer stroke BCK-algebras
2023Summary: 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 demonstrated.
Öner, T., Kalkan, T., Saeid, A.B.
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Subalgebras of Sheffer Stroke BCK-Algebras Illuminated by the New Fuzzy Set Environment
New Mathematics and Natural ComputationFor the purpose of dealing with the subalgebras of Sheer stroke BCK-algebras associated with the [Formula: see text]-fuzzy set, the concept of [Formula: see text]-fuzzy subalgebras in Sheffer stroke BCK-algebras is introduced and the properties involved are investigated. Conditions for creating a [Formula: see text] fuzzy subalgebra from a given fuzzy
Tahsin Oner +2 more
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