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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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Replacement—A Sheffer Stroke for Belief Change
Journal of Philosophical Logic, 2009In the AGM logic of belief change, the two basic change operations are contraction and revision, alongside the univocal, and hence unproblematic, classical operation of expansion. In the paper under review, the author introduces a more complex operation of `replacement', in which a sentence \(x\) is removed from a belief set while at the same time ...
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On Fuzzy Sheffer Stroke Operation
2018The generalization of the classical logical connectives to the fuzzy logic framework has been one of the main research lines since the introduction of fuzzy logic. Although many classical logical connectives have been already generalized, the Sheffer stroke operation has received scant attention.
Piotr Helbin +5 more
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Study Groupoids by Sheffer stroke
Asian-European Journal of MathematicsIn this study, we study groupoids by Sheffer stroke. By defining subgroupoids and ideals of a groupoid with Sheffer stroke, it is proved that every ideal of a groupoid with Sheffer stroke is a subgroupoid but the converse is generally not true. Also, a congruence relation is described on the groupoid by means of ideals, and a quotient groupoid with ...
Tugce Katican +3 more
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Intuitionistic fuzzy filters in Sheffer stroke Hilbert algebras
Summary: Using the Atanassov's intuitionistic fuzzy set, the concept of intuitionistic fuzzy deductive system and intuitionistic fuzzy filter in Sheffer stroke Hilbert algebras is introduced, several properties are investigated. The conditions under which an intuitionistic fuzzy set can be an intuitionistic fuzzy filter are explored, and ...Oner, Tahsin +2 more
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SHEFFER’S STROKE: A STUDY IN PROOF-THEORETIC HARMONY
DANISH YEARBOOK OF PHILOSOPHY, 1999In order to explicate Gentzen’s famous remark that the introduction-rules for logical constants give their meaning, the elimination-rules being simply consequences of the meaning so given, we develop natural deduction rules for Sheffer’s stroke, alternative denial. The first system turns out to lack Double Negation. Strengthening the introduction-rules
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SR-fuzzy filters in Sheffer stroke BL-algebras
Journal of Algebraic Hyperstructures and Logical AlgebrasThe concepts of SR-fuzzy quasi-subalgebras and (ultra) SR-fuzzy filters over Sheffer stroke BL-algebras are introduced for the study of quasi-subalgebras and (ultra) filters using the SR-fuzzy set, and various properties are investigated accordingly.
Y.B. Jun, E. Yang, E. Hwan Roh
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Interval -Sheffer strokes and interval fuzzy Sheffer strokes endowed with admissible orders
International Journal of Approximate ReasoningYifan Zhao, Hua-Wen Liu
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