Results 31 to 40 of about 72 (69)
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
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
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
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
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
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
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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
Relationship between ideals of BCI‐algebras and order ideals of its adjoint semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 9, Page 535-543, 2001., 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)) for any order ideal J of X, thus, for each BCK‐algebra X there is a one‐to‐one correspondence ...
Michiro Kondo
wiley +1 more source
Fuzzy associative ℐ‐ideals of IS‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 729-735, 2000., 2000 We fuzzify the concept of an associative ℐ‐ideal in an IS‐algebra. We give a relation between a fuzzy ℐ‐ideal and a fuzzy associative ℐ‐ideal, and we investigate some related properties.
Eun Hwan Roh +2 more
wiley +1 more source
Intuitionistic fuzzy ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 839-849, 2000., 2000 We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK‐algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK‐algebra and investigate some related properties.
Young Bae Jun, Kyung Ho Kim
wiley +1 more source