Detail publikačního výsledku

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

NOVÁK, M.

Originální název

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

Anglický název

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

Druh

Kapitola, resp. kapitoly v odborné knize

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

NOVÁK, M.

Rok RIV

2019

Vydáno

15.10.2018

Nakladatel

Springer

Místo

Cham, Switzerland

ISBN

978-3-030-00083-7

Kniha

Models and Theories in Social Systems

Edice

Studies in Systems, Decision and Control

Strany od

535

Strany do

551

Strany počet

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"
}