Results 41 to 50 of about 3,005 (92)
, 2021 In this paper, we introduce the notion of hyper BI-algebra and investigate some properties of it. Also, we state and prove some theorems which determine the relationship among $R/ C/ D/ T$ and V-hyper BI-algebras under some conditions.
S. Niazian
semanticscholar +1 more source
Category of hyper BCK-algebras
Scientiae Mathematicae Japonicae, 2006 Summary: We first define the category of hyper BCK-algebras. After that we show that the category of hyper BCK-algebras is connected, factorisable and has equalizers, coequalizers, products, coproducts, intersection and kernel. As a consequence this category is complete and cocomplete and hence has pullbacks and pushouts.
HARIZAVI, H. +2 more
openaire +2 more sources
Hypervector Spaces Based on Intersectional Soft Sets
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The notion of int‐soft subfields, int‐soft algebras over int‐soft subfields, and int‐soft hypervector spaces are introduced, and their properties and characterizations are considered. In connection with linear transformations, int‐soft hypervector spaces are discussed.
Young Bae Jun +3 more
wiley +1 more source
Implicative Ideals of BCK‐Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK‐algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given.
Young Bae Jun +3 more
wiley +1 more source
An overview of hyper logical algebras
, 2020 Hyper logical algebras were first studied in 2000 by Borzooei et al. They applied the concept of hyperstructures to one of the logical algebraic structures known as the BCK-algebra, and introduced two generalizations of them called the hyper BCK-algebra ...
R. Borzooei, M. Aaly
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International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We study hyper BCC‐algebras which are a common generalization of BCC‐algebras and hyper BCK‐algebras. In particular, we investigate different types of hyper BCC‐ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC‐algebras of order 3 of which only three are not hyper BCK‐algebras.
R. A. Borzooei +2 more
wiley +1 more source
Strong implicative hyper K‐ideals
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 A condition for a strong hyper K‐ideal to be a strong implicative hyper K‐ideal is given. Homomorphic images and inverse images of strong implicative hyper K‐ideals are considered.
Young Bae Jun +2 more
wiley +1 more source
Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 549-556, 2003., 2003 The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
wiley +1 more source
Ratio Mathematica, 1997 In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced, and some basic properties for this algebra are proved.
M. Bolurian, A. Hasankhani
doaj
Derivations of be-algebras from hyper be-algebras
, 2018 In this paper, we investigate some results in (BE-algebras) dual BCKalgebras and hyper (BE-algebras) dualK-algebras. We show that by a setX, we can construct a hyper (BE-algebra) dual K-algebra.
M. Hamidi, A. Borumand-Saeid
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