Results 71 to 80 of about 264 (168)

Fermatean Quadripartitioned Neutrosophic Ideals in Subtraction Algebra [PDF]

Neutrosophic Sets and Systems
In 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
doaj   +1 more source

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, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +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, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah, Ria Egami, Pramita Mishra   +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, Sun Shin Ahn, Kyoung Ja Lee   +2 more
doaj   +1 more source

Generalized fuzzy Lie subalgebras

Journal 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

H‐Fuzzy Ideals and H‐Fuzzy Filters in Distributive Join‐Semilattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates H‐fuzzy ideals of distributive join‐semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law. We also construct a number of characterizations for any H‐fuzzy ideal generated by an H‐fuzzy subset.
Mohammed Amare Mohammed, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, G. Muhiuddin   +4 more
wiley   +1 more source

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

Neutrosophic 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, P. Hemavathi, M. Al-Labadi, S. Khalil, A. E. Kadhm, Qays H. Imran   +5 more
doaj   +1 more source

Interval Valued m-polar Fuzzy BCK/BCI-Algebras

International Journal of Computational Intelligence Systems, 2021
The notion of interval-valued m-polar fuzzy sets (abbreviated IVmPF) is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of IVmPF on BCK/BCI-algebras.
G. Muhiuddin, D. Al-Kadi
doaj   +1 more source

Structural Analysis of Two‐Fold Algebraic Systems Defined Over Fuzzy and Antifuzzy Groups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the structural properties of two‐fold algebras defined over fuzzy groups and antifuzzy groups. The corresponding two‐fold binary operations are introduced, and their fundamental algebraic features, such as associativity, identity elements, inverses, and finite order elements, are analyzed. In addition, several related substructures,
Ramazan Yaşar, G. Muhiuddin
wiley   +1 more source

m-Polar Picture Fuzzy Ideal of a BCK Algebra

International Journal of Computational Intelligence Systems, 2020
In this paper, the notions of m-polar picture fuzzy subalgebra (PFSA), m-polar picture fuzzy ideal (PFI) and m-polar picture fuzzy implicative ideal (PFII) of BCK algebra are introduced and some related basic results are presented.
Shovan Dogra, Madhumangal Pal
doaj   +1 more source