Results 41 to 50 of about 202 (72)
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
Open Mathematics, 2018 In this paper, we introduce the notion of state maps from a semihoop H1 to another semihoop H2, which is a generalization of internal states (or state operators) on a semihoop H.
Fu Yu Long, Xin Xiao Long, Wang Jun Tao
doaj +1 more source
Some properties of residual mapping and convexity in ∧-hyperlattices [PDF]
, 2014 The aime of this paper is the study of residual mappings and convexity in hyperlattices. To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual ...
Ameri, Reza +2 more
core +3 more sources
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
On some generalizations of BCC-algebras
, 2012 We describe weak BCC-algebras (also called BZ-algebras) in which the condition $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same branch.
Dudek, Wieslaw A., Thomys, Janus
core +1 more source
BCI/BCK- quantum algebra [PDF]
, 2021 The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic ...
Tabuni, Muna
core +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
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
Quantum Algebra From Generalized Q-Algebra [PDF]
, 2021 The paper contains an investigation of the notion of Q-algebras. A brief introduction toquantum mechanics is given.A brief introduction to BCI/BCK/BCH-algebra are given. A new generalization of Q-algebrahas been introduced.
Tabuni, Muna
core +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