Results 31 to 40 of about 71 (70)
A Study on Intuitionistic Multi-Anti Fuzzy Subgroups
Applied Mathematics and Sciences: An International Journal (MathSJ ) ISSN : 2349 - 6223 R.Muthuraj, S.Balamurugan Abstract For any intuitionistic multi-fuzzy set A = { : x∈X} of an universe set X, we study the set [A](α, β) called the (α, β)–lower ...
R.Muthuraj, S.Balamurugan
core +1 more source
On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
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
Fuzzy BCI‐subalgebras with interval‐valued membership functions
The purpose of this paper is to define the notion of an interval‐valued fuzzy BCI‐subalgebra (briefly, an i‐v fuzzy BCI‐subalgebra) of a BCI‐algebra. Necessary and sufficient conditions for an i‐v fuzzy set to be an i‐v fuzzy BCI‐subalgebra are stated. A way to make a new i‐v fuzzy BCI‐subalgebra from old one is given.
Sung Min Hong +3 more
wiley +1 more source
Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras
The purpose of this paper is to initiate the concept of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebra and investigate some of their related properties.
Zulfiqar Muhammad
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A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
We consider the fuzzification of the notion of an n‐fold implicative ideal, an n‐fold (weak) commutative ideal. We give characterizations of an n‐fold fuzzy implicative ideal. We establish an extension property for n‐fold fuzzy commutative ideals.
Young Bae Jun
wiley +1 more source
A New Kind of Derivations in BCI-Algebras [PDF]
A new kind of derivation in BCI-algebras is introduced, and related properties are investigated. For a self map d f q of a BCI-algebra X, conditions for the kernel of d f q to be both a subalgebra and an ideal of X are provided.
Ja Kyoung, Lee
core
Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber +6 more
wiley +1 more source
On n‐fold fuzzy positive implicative ideals of BCK‐algebras
We consider the fuzzification of the notion of an n‐fold positive implicative ideal. We give characterizations of an n‐fold fuzzy positive implicative ideal. We establish the extension property for n‐fold fuzzy positive implicative ideals, and state a characterization of PIn‐Noetherian BCK‐algebras.
Young Bae Jun, Kyung Ho Kim
wiley +1 more source
Relation Between Be-Algebras and G-Hilbert Algebras
Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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