Results 51 to 60 of about 397,265 (146)

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

open access: yesInternational 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

Generalized fuzzy Lie subalgebras

open access: yesJournal of Generalized Lie Theory and Applications, 2008
We introduce a new kind of a fuzzy Lie subalgebra of a Lie algebra called, an (; )- fuzzy Lie subalgebra and investigate some of its properties. We also present characterization theorems of implication-based fuzzy Lie subalgebras.
openaire   +1 more source

On the similarity relation within fuzzy ontology components [PDF]

open access: yes, 2005
Ontology reuse is an important research issue. Ontology merging, integration, mapping, alignment and versioning are some of its subprocesses. A considerable research work has been conducted on them.
Bejaoui, Lotfi   +2 more
core  

Fuzzy and tile coding approximation techniques for coevolution in reinforcement learning [PDF]

open access: yes, 2005
PhDThis thesis investigates reinforcement learning algorithms suitable for learning in large state space problems and coevolution. In order to learn in large state spaces, the state space must be collapsed to a computationally feasible size and then ...
Tokarchuk, Laurissa Nadia
core   +4 more sources

Falling 𝑑-Ideals in 𝑑-Algebras

open access: yesDiscrete 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
doaj   +1 more source

Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

open access: yesAxioms, 2018
As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in B C K / B C I -algebra is considered. The notions of α -internal, β -internal, α -external and
Young Bae Jun   +2 more
doaj   +1 more source

Pre A∗‐Algebras and Their Applications in Fuzzy Set Theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper studies Pre A∗‐algebras and their role as an algebraic foundation for fuzzy set theory. By relaxing the key Boolean axioms of distributivity and complementation, Pre A∗‐algebras provide a robust algebraic structure for reasoning with uncertainty.
Gebregziabiher Girum Gebreset   +3 more
wiley   +1 more source

Exploring the Structural Aspects of Interval-Valued Intuitionistic Neutrosophic Fuzzy Ẑ-Subalgebra [PDF]

open access: yesNeutrosophic Sets and Systems
The article develops an updated methodology of interval-valued intuitionistic neutrosophic sets (IVINS) based on Ẑ-algebra theoretical structures.
K. P. Shanmugapriya   +5 more
doaj   +1 more source

Wijsman Statistical, Strong Cesàro, and Ideal Convergence of Closed Sets in Idempotent Bicomplex Metric Spaces

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri   +4 more
wiley   +1 more source

Intuitionistic Fuzzy Subbialgebras and Duality

open access: yesJournal of Applied Mathematics, 2014
We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy ...
Wenjuan Chen, Bijan Davvaz
doaj   +1 more source

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