BCSSS

International Encyclopedia of Systems and Cybernetics

2nd Edition, as published by Charles François 2004 Presented by the Bertalanffy Center for the Study of Systems Science Vienna for public access.

About

The International Encyclopedia of Systems and Cybernetics was first edited and published by the system scientist Charles François in 1997. The online version that is provided here was based on the 2nd edition in 2004. It was uploaded and gifted to the center by ASC president Michael Lissack in 2019; the BCSSS purchased the rights for the re-publication of this volume in 200?. In 2018, the original editor expressed his wish to pass on the stewardship over the maintenance and further development of the encyclopedia to the Bertalanffy Center. In the future, the BCSSS seeks to further develop the encyclopedia by open collaboration within the systems sciences. Until the center has found and been able to implement an adequate technical solution for this, the static website is made accessible for the benefit of public scholarship and education.

A B C D E F G H I J K L M N O P Q R S T U V W Y Z

BINARY RELATIONS 2)

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Binary relations appear in graphs and matrixes.

There are different types of binary relations, as follows:

- reflexive, by which a node is connected to itself through a loop

- symmetric, by which two nodes are connected by two opposite arcs of the same value

- transitive, by which a third or nth node is connected to the previous ones by an unbroken path

- antisymmetric, where two nodes are connected by opposite arcs of unequal value

- equivalent, if the connection is simultaneously reflexive, symmetric and transitive

- similar, if the connection is simultaneously reflexive and symmetric

- ordered, if the connection is simultaneously reflexive and transitive

(After A. KAUFMANN, 1970, p.21-26).

This classification is helpful in order to distinguish more clearly different types of relations. The binary character of these relations is very convenient for computer modeling

Categories

  • 1) General information
  • 2) Methodology or model
  • 3) Epistemology, ontology and semantics
  • 4) Human sciences
  • 5) Discipline oriented

Publisher

Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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