Fundamental Relations in Hyperstructures
Displaying 21 – 40 of 50
Fuzzy sets and non-complete 1-hypergroups.
Corsini, Piergiulio, Cristea, Irina (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Group and hypergroup operations induced by multivalued functions
R. Dacić (1969)
Matematički Vesnik
Hyper BCI-algebras
Xiao Long Xin (2006)
Discussiones Mathematicae - General Algebra and Applications
We introduce the concept of a hyper BCI-algebra which is a generalization of a BCI-algebra, and investigate some related properties. Moreover we introduce a hyper BCI-ideal, weak hyper BCI-ideal, strong hyper BCI-ideal and reflexive hyper BCI-ideal in hyper BCI-algebras, and give some relations among these hyper BCI-ideals. Finally we discuss the relations between hyper BCI-algebras and hyper groups, and between hyper BCI-algebras and hyper -groups.
Hypergroups defined from a linear space
J. Mittas, Ch. G. Massouros (1989)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Hypergroups of type u on the right of size five. Part two
Mario De Salvo, Domenico Freni, Giovanni Lo Faro (2008)
Matematički Vesnik
Hyperstructures Associated with Ordered sets
Piergiulio Corsini (2003)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Induced representations and duality results for commutative hypergroups.
Michael Voit, Peter Hermann (1995)
Forum mathematicum
Intuitionistic fuzzy -ideals.
Davvaz, Bijan, Dudek, Wiesław A. (2006)
International Journal of Mathematics and Mathematical Sciences
Intuitionistic hyperideals of semihypergroups.
Davvaz, B. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Isomorphism theorems of polygroups.
Davvaz, B. (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Multistructures determined by differential rings
Jan Chvalina, Ludmila Chvalinová (2000)
Archivum Mathematicum
Note on isomorphism theorems of hyperrings.
Velrajan, Muthusamy, Asokkumar, Arjunan (2010)
International Journal of Mathematics and Mathematical Sciences
On some representations of hypergroups
Thomas Vougiouklis (1990)
Annales scientifiques de l'Université de Clermont. Mathématiques
On the hypergroups with four proper pairs and without scalars
Mario De Salvo, Domenico Freni, Giovanni Lo Faro (1996)
Annales mathématiques Blaise Pascal
On the partial semi-hypergroups with empty diagonal
M. De Salvo (1999)
Acta Universitatis Carolinae. Mathematica et Physica
On the semi-sub-hypergroups of a hypergroup.
Massouros, Ch.G. (1991)
International Journal of Mathematics and Mathematical Sciences
-hypergoupes
Thomas N. Vougiouklis, L. Konguetsof (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Partial Abelian H_u-Monoids
Bijan Davvaz (2002)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
Qiumei Wang, Jianming Zhan (2016)
Open Mathematics
In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals, rough prime ideals, rough fuzzy semigroups, rough fuzzy ideals and rough fuzzy prime ideals according to the definitions of rough sets and rough fuzzy sets. Furthermore, we shall consider the relationships among semigroups and rough semigroups,...