Results 31 to 40 of about 64 (64)
Fuzzy BCI‐subalgebras with interval‐valued membership functions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 135-143, 2001., 2001 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
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
On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 419-424, 2001., 2001 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
Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 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
doaj +1 more source
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.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 positive implicative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 525-537, 2001., 2001 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
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
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On imaginable T‐fuzzy subalgebras and imaginable T‐fuzzy closed ideals in BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 269-287, 2001., 2001 We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a fuzzy set, and give a characterization of a finite‐valued fuzzy closed ideal. Using a t‐norm T,
Young Bae Jun, Sung Min Hong
wiley +1 more source
Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 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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On fuzzy dot subalgebras of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 6, Page 357-364, 2001., 2001 We introduce the notion of fuzzy dot subalgebras in BCH‐algebras, and study its various properties.
Sung Min Hong +3 more
wiley +1 more source