Results 51 to 60 of about 1,355,110 (115)

Hypervector Spaces Based on Intersectional Soft Sets

open access: yesAbstract 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

open access: yesInternational 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

On hyper BCC‐algebras

open access: yesInternational 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

Introducción a la Super-Hiper-Álgebra y la Super-HiperÁlgebra Neutrosófica Introduction to Super-Hyper-Algebra and Neutrosophic SuperHyper-Algebra

open access: yes, 2022
   In this article, the concepts of Nth Power Set of a Set, Super-Hyper-Oper-Operation, Super-Hyper-Axiom, SuperHyper-Algebra, and their corresponding Neutrosophic Super-Hyper-Oper-Operation, Neutrosophic Super-Hyper-Axiom and Neutrosophic Super-Hyper ...
Florentin Smarandache (555884)
core   +1 more source

Strong implicative hyper K‐ideals

open access: yesInternational 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

open access: yesInternational 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

QM-BZ-Algebras and Quasi-Hyper BZ-Algebras

open access: yes, 2022
BZ-algebra, as the common generalization of BCI-algebra and BCC-algebra, is a kind of important logic algebra. Herein, the new concepts of QM-BZ-algebra and quasi-hyper BZ-algebra are proposed and their structures and constructions are studied.
Xiaohong Zhang, Yudan Du
core   +1 more source

Fuzzy Filter Spectrum of a BCK Algebra [PDF]

open access: yes, 2011
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters.
Wei Ji, Xiao Long Xin, Xiu Juan Hua
core   +1 more source

Smarandache BE-Algebras [PDF]

open access: yes, 2013
A study of the notions of Smarandache n-structure CI-algebras and Smarandache weak BE-algebras. Smarandache algebraic structures have been studied in a series of eleven books by W. B.
Saeid, Arsham Borumand
core   +1 more source

A Class of BCI-Algebra and Quasi-Hyper BCI-Algebra

open access: yes, 2022
In this paper, we study the connection between generalized quasi-left alter BCI-algebra and commutative Clifford semigroup by introducing the concept of an adjoint semigroup. We introduce QM-BCI algebra, in which every element is a quasi-minimal element,
Xiaohong Zhang, Yudan Du
core   +1 more source

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