Results 41 to 50 of about 324 (107)

A Note on Hypervector Spaces

open access: yes, 2011
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
core   +1 more source

Rough Hyperfilters in Po‐LA‐Semihypergroups

open access: yesDiscrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019
This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz   +2 more
wiley   +1 more source

Topological hypergroupoids

open access: yesComputers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups

open access: yesDiscrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018
The concept of (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated. We study the relations between different (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup. Furthermore, we study some results on homomorphisms of (∈, ∈∨qk)‐fuzzy hyperideals.
Muhammad Azhar   +4 more
wiley   +1 more source

The global derived period map

open access: yes, 2019
. We develop the global period map in the context of derived geometry, generalising Griffiths' classical period map as well as the infinitesimal derived period map. We begin by constructing the derived period domain which classifies Hodge filtrations and
Di Natale, Carmelo   +1 more
core   +1 more source

On the Prime Radical of a Hypergroupoid [PDF]

open access: yesJournal of Mathematics and Statistics, 2005
In this study, we give definitions of a prime ideal, a s-semiprime ideal and a w-semiprime ideal for a hypergroupoid K. For an ideal A of K we show that radical of A (R(A)) can be represented as the intersection of all prime ideals of K containing A and we define a strongly A-nilpotent element.
openaire   +2 more sources

On Fuzzy Corsini's Hyperoperations [PDF]

open access: yes, 2012
We generalize the concept of C-hyperoperation and introduce the concept of F-C-hyperoperation. We list some basic properties of F-C-hyperoperation and the relationship between the concept of C-hyperoperation and the concept of F-C-hyperoperation. We also
P. Corsini, Yuming Feng
core   +2 more sources

The algebraic hyperstructure of elementary particles in physical theory

open access: yes, 2010
Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva   +8 more
core   +1 more source

Degree hypergroupoids associated with hypergraphs

open access: yesFilomat, 2014
In this paper, we present some connections between graph theory and hyperstructure theory. In this regard, we construct a hypergroupoid by defining a hyperoperation on the set of degrees of vertices of a hypergraph and we call it a degree hypergroupoid. We will see that the constructed hypergroupoid is always anHv-group. We will investigate
Mehdi Farshi   +2 more
openaire   +2 more sources

On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups

open access: yes, 2005
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and investigate ...
Davvaz, Bijan   +2 more
core   +1 more source

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