Results 61 to 70 of about 261 (168)

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

ŁUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS

, 2023
. The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated.
Kang, Jeong Gi, Bordbar, Hashem
core  

Finite models for positive combinatorial and exponential algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3380-3400, November 2025.
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
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

On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω ...
Beza Lamesgin Derseh, Abdul Rauf Khan
wiley   +1 more source

Studying the Theory of Hoops Through Some Type of Filters

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis, Terefe Getachew Beyene, AbdelMaksoud Soliman   +2 more
wiley   +1 more source