Results 101 to 110 of about 748 (136)

A Formal Representation of Video Content with the Picture Hyperoperation

2017
A hyperoperation on the pixels of a two-dimensional picture is introduced and studied. In this setup pictures are defined as a specific type of rectangular graphs and the picture hyperoperation is given by virtue of the notion of the path inside such a picture.
Antonios Kalampakas, Nikolaos Triantafyllou, Katerina Ksystra, Petros Stefaneas   +3 more
openaire   +2 more sources

Commuting Hyperoperations

36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
Centralizer of a set of hyperoperations F is a clone of hyperoperations that commute with all hyperoperations from F. There are several ways to define this commuting operator which imply several definitions of centralizers of sets of hyperoperations and they are considered in this paper. In order to obtain their properties, we discuss the definition of
J. Pantovic, G. Vojvodic
openaire   +1 more source

Links Between HX-Groups and Hypergroups

Algebra Colloquium, 2021
The concept of an [Formula: see text]-group is an upgrade of the concept of a group, in which a new operation is defined on the family of non-empty subsets of a group. If this new support set together with the new operation is a group, then we call it an
I. Cristea, M. Novák, B. O. Onasanya
semanticscholar   +1 more source

Menger hyperalgebras and their representations

, 2021
The paper is devoted to the investigation of algebraic hyperstructures. The concept of Menger hyperalgebras, which is a canonical generalization of semihypergroups, is introduced.
T. Kumduang, S. Leeratanavalee
semanticscholar   +1 more source

Operators and Hyperoperators Acting on Hypergroups

AIP Conference Proceedings, 2008
External operations and hyperoperations on hypergroups leads to structures that are called hypermodules, supermodules, hypermoduloids and supermoduloids. These structures give applications in the theory of graphs and in geometries.
Ch. G. Massouros, G. G. Massouros
openaire   +1 more source

Generalized Hyperoperations Defined on Topological Space

Journal of Discrete Mathematical Sciences and Cryptography, 2015
AbstractWe first generalize the hyperoperation to generalized hyperoperation; then we define generalized semihypergroup and generalized hypergroup by the use of generalized hyperoperation; also we give some examples of this kind of hyperoperations. Then we apply generalized hyperoperation to topological space. We obtain some interesting results.
Yuming Feng, Benxiu Li
openaire   +1 more source

Structure and order: A concise overview of ordered semi(hyper)groups

Quarterly Journal of Research and Planning in Higher Education
This paper explores a hierarchy of algebraic structures beginning with ordered semigroups and extending through their generalizations and fuzzifications. An ordered semigroup is a semigroup equipped with a partial order that is compatible with its binary
B. Davvaz
semanticscholar   +1 more source

Hyperoperations on directed graphs

Journal of Discrete Mathematical Sciences and Cryptography
We analyze three hyper-operations derived from directed graphs, demonstrate the influence of the underlying graph structure on these hyper-operations and study the algebraic properties of the related classes of graphs. The paper also illustrates the relationship between directed graphs and hyper-structures using graph hyper-operations.
Antonios Kalampakas, Stefanos Spartalis
openaire   +1 more source

On Quotient Canonical (m,n)-Ary Hypermodules

Algebra Colloquium
Quotient canonical [Formula: see text]-hypermodules over Krasner [Formula: see text]-hyperrings are studied as a generalization of the well-known algebraic hyperstructures. In this work, we prove that if [Formula: see text] is a normal [Formula: see text]
Sohrab Ostadhadi-Dehkordi, K. Hila
semanticscholar   +1 more source

Notice of Retraction: Fuzzy hyperoperations associated to fuzzy hypergraphs

2010 3rd International Conference on Computer Science and Information Technology, 2010
We studied a family of fuzzy hyperoperations obtained from a p-fuzzy hypergraph and then we listed some basic properties of them. We used these basic properties to research the FHO-set of any nonempty set. Also we researched a special family of fuzzy hyperoperations.
null Yuming Feng, null Qingsong Zeng, null Limin Zou   +2 more
openaire   +1 more source