Results 51 to 60 of about 290 (156)
Semigroup Structures and Commutative Ideals of BCK-Algebras Based on Crossing Cubic Set Structures
Axioms, 2022 First, semigroup structure is constructed by providing binary operations for the crossing cubic set structure. The concept of commutative crossing cubic ideal is introduced by applying crossing cubic set structure to commutative ideal in BCK-algebra, and
Mehmet Ali Öztürk +2 more
doaj +1 more source
Bipolar Fuzzy Dot Structures on Subalgebras of a β‐Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this article, we present the concepts of bipolar fuzzy dot β‐subalgebras (BFD β‐SAs) within the context of β‐algebra and explore their associated characteristics. We establish the connections between a BF β‐SA and a BFD β‐SA. We examine the homomorphic and inverse images of BFD β‐SAs and prominent results.
Beza Lamesgin Derseh +2 more
wiley +1 more source
Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup
International Journal of Mathematics and Mathematical Sciences, 2001 We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J))
Michiro Kondo
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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
Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory
Advances in Fuzzy Systems, 2021 In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set.
G. Muhiuddin +3 more
doaj +1 more source
CO2 Capture, Utilization, and Storage using Amino Acids
Advanced Sustainable Systems, Volume 9, Issue 12, December 2025.Amino acid and amino acid‐based ionic liquids show potential for sustainable CO2 capture, benefiting from reactive NH2 groups and low‐energy regeneration. Their use in solvents, functionalized sorbents, direct air capture, mineralization, and CO2 conversion highlights their versatilty and promise for advacing next‐generation CO2 sequestration ...
Md Sariful Sheikh +3 more
wiley +1 more source
Engineering Reports, Volume 7, Issue 11, November 2025.This manuscript proposes ECO (elephant clan optimization) to address heat and electric power scheduling in remote MG (microgrids) under three distinct scenarios, considering fuel constraints. ECO is a population‐based approach influenced by the behavior and social structure of elephants.
Chitralekha Jena +7 more
wiley +1 more source
New types of bipolar fuzzy ideals of BCK-algebras
International Journal of Analysis and Applications, 2020 The notions of bipolar fuzzy closed, bipolar fuzzy positive implicative, bipolar fuzzy implicative ideals of BCK-algebras are introduced, and related properties are investigated.
G. Muhiuddin +3 more
doaj
On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm
International Journal of Mathematics and Mathematical Sciences, 2006 We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with ...
M. Akram, Jianming Zhan
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Bipolar Fuzzy Commutative Hyper BCK-ideals in Hyper BCK-algebras
European Journal of Pure and Applied MathematicsThis study introduces the concept of bipolar fuzzy commutative hyper BCK-ideals (BF-CHBCKIs) within the algebraic framework of hyper BCK-algebras, offering a novel approach to modeling dual uncertainty through bipolar fuzzy sets. By defining and classifying BF-CHBCKIs across multiple types and examining their structural relationships with reflexive ...
D. Ramesh +3 more
openaire +1 more source