Results 41 to 50 of about 367 (102)
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
Study of Hilbert algebras in point of filters
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The aim of this work is to introduce some types of filters in Hilbert algebras. Some theorems are stated and proved which determine the relationship between these notions and other filters of Hilbert algebra and by some examples we show that these ...
Nasab Ali Soleimani +1 more
doaj +1 more source
Subsystems and regular quotients of C-systems
, 2016 C-systems were introduced by J. Cartmell under the name "contextual categories". In this note we study sub-objects and quotient-objects of C-systems. In the case of the sub-objects we consider all sub-objects while in the case of the quotient-objects ...
Voevodsky, Vladimir
core +1 more source
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
Disjointed sum of products by a novel technique of orthogonalizing ORing
Open Mathematics, 2018 This work presents a novel combining method called ‘orthogonalizing ORing ◯∨$\bigcirc\!\!\!\!\!\!\vee $’ which enables the building of the union of two conjunctions whereby the result consists of disjointed conjunctions.
Can Yavuz
doaj +1 more source
, 2006 A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated.
Aho +22 more
core +2 more sources
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
MBJ-neutrosophic ideals of BCK/BCI-algebras
Open Mathematics, 2019 The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided.
Jun Young Bae, Roh Eun Hwan
doaj +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
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 12, Page 749-757, 2001., 2001 We introduce a new notion, called a Q‐algebra, which is a generalization of the idea of BCH/BCI/BCK‐algebras and we generalize some theorems discussed in BCI‐algebras. Moreover, we introduce the notion of “quadratic” Q‐algebra, and show that every quadratic Q‐algebra (X; ∗, e), e ∈ X, has a product of the form x∗y = x − y + e, where x, y ∈ X when X is ...
Joseph Neggers +2 more
wiley +1 more source