Results 31 to 40 of about 46 (46)
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
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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
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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
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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
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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
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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
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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
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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
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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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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
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