Publication detail

Ordering in the Algebraic Hyperstructure Theory: Some Examples with a Potential for Applications in Social Sciences

NOVÁK, M.

Original Title

Ordering in the Algebraic Hyperstructure Theory: Some Examples with a Potential for Applications in Social Sciences

Type

book chapter

Language

English

Original Abstract

In this chapter we include several examples of concepts of the algebraic hyperstructure theory, which are all based on the concept of ordering. We also show how these concepts could be linked. The reason why we make this selection, is the fact that, in social sciences, objects are often linked in two different ways, which can be represented by an operation (or a hyperoperation) and a relation. The algebraic hyperstructure theory is useful in considerations of social sciences because, in this theory, the result of an interaction of two objects is, generally speaking, a set of objects instead of one particular object.

Keywords

EL-hyperstructure, generalizations of groups, hyperstructure theory, partially ordered semigroup, quasi-order hypergroups, ordered hyperstructures

Authors

NOVÁK, M.

Released

15. 10. 2018

Publisher

Springer

Location

Cham, Switzerland

ISBN

978-3-030-00083-7

Book

Models and Theories in Social Systems

Edition

Studies in Systems, Decision and Control

Edition number

1.

Pages from

535

Pages to

551

Pages count

16

URL

https://link.springer.com/book/10.1007/978-3-030-00084-4#about

BibTex

@inbook{BUT150481,
  author="Michal {Novák}",
  title="Ordering in the Algebraic Hyperstructure Theory: Some Examples with a Potential for Applications in Social Sciences",
  booktitle="Models and Theories in Social Systems",
  year="2018",
  publisher="Springer",
  address="Cham, Switzerland",
  series="Studies in Systems, Decision and Control",
  edition="1.",
  pages="535--551",
  doi="10.1007/978-3-030-00084-4\{_}28",
  isbn="978-3-030-00083-7",
  url="https://link.springer.com/book/10.1007/978-3-030-00084-4#about"
}