Results 51 to 60 of about 261 (168)
Fuzziness on Hopf Algebraic Structures with Its Application
Journal of New Theory, 2021 The objective of writing this manuscript is to apply the concept of fuzzy set on some basic Hopf algebraic structures. In this manuscript, the novel concepts of fuzzy Hopf subalgebra, fuzzy Hopf ideal, and fuzzy H-submodule are proposed.
Munir Ahmed +2 more
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A New Interpretation of Multi-Polarity Fuzziness Subalgebras of BCK/BCI-Algebras
Fuzzy Information and Engineering, 2022 In this paper, as a further generalization of m-polar fuzziness subalgebras, we present the conception of an m-polar [Formula: see text]-fuzzy subalgebra in BCK/BCI-algebras and discuss some interesting properties of it.
Anas Al-Masarwah, Abd Ghafur Ahmad
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(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 +2 more
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A New Framework of Interval-valued Neutrosophic in Ẑ -algebra [PDF]
Neutrosophic Sets and Systems, 2023 This article deals about an interval-valued neutrosophic Ẑ-algebra is a mathematical framework which incorporates the concepts of interval-valued neutrosophic sets, Ẑ-algebra and algebraic operations.
K. P. Shanmugapriya, P. Hemavathi
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On fuzzy dot subalgebras of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the notion of fuzzy dot subalgebras in BCH‐algebras, and study its various properties.
Sung Min Hong +3 more
openaire +3 more sources
Generalizations of implication-based fuzzy subalgebras in BCK/BCI-algebras
, 2021 <p>In [2], Jun discussed implication-based subalgebras in BCK/BCI-algebras. In this article, more general forms than Jun's results are discussed. We provide an example to show that a fuzzy subalgebra with thresholds 0 and 0.5 is not an implication ...
G. Muhiuddin and Young Bae Jun
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Fermatean Quadripartitioned Neutrosophic Ideals in Subtraction Algebra [PDF]
Neutrosophic Sets and SystemsIn this paper, the notions of a Fermatean Quadripartitioned Neutrosophic Fuzzy subalgebra and a Fermatean Quadripartitioned Neutrosophic Fuzzy ideal of a subtraction algebra are introduced and its characterizations of above are investigated.
M. Ramya, S. Murali, R. Radha, R. Princy
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Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
wiley +1 more source
On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 more
wiley +1 more source
Falling 𝑑-Ideals in 𝑑-Algebras
Discrete Dynamics in Nature and Society, 2011 Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in 𝑑-algebras is established. The notions of a falling 𝑑-subalgebra, a falling 𝑑-ideal, a falling 𝐵𝐶𝐾-ideal, and a falling 𝑑♯-
Young Bae Jun +2 more
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