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.

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TRANSITION PROBABILITY MATRIX 2)

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A matrix which represents all the possible transitions from one state to any other in a Markovian system.

G. PASK describes it as follows: "P is an n.n matrix with n entries pij and Σpij= 1 rows and columns corresponding with the states J(t) in a column vector. Each row in the matrix represents the probability distribution obtained by selecting the state in correspondence with this row, as we do in multiplication with the column vector J(t). The state of a Markovian system can be represented as a point in a probability space with n co-ordinates p1, p2… pn one to each state. This space should not be confused with the phase space with m co-ordinates related to the attributes" (1961a, p.122).

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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