Variety (cybernetics)

In cybernetics refers to an increase ( growing stock ) of active, action and communication capabilities of a system with the concept of increasing variety. According to William Ross Ashby, the variety of the measurement of complexity of a system is.

Varietätstheorem

The Varietätstheorem describes the relationships between faults S, acting on a system, the possible system responses R and the consequences resulting therefrom K:

That is, the variety of the impact can not be less than the ratio of the varieties of the disturbances and the possible reactions.

Varietätszahl and Varietätsgrad

For this purpose were introduced by Frahm Varietätszahl and Varietätsgrad. Both variables are used to measure the complexity in cybernetics, and are described as defined below:

- The Varietätszahl:

- The Varietätsgrad:

This is the quotient of the sum of all interactions W to the number of nodes K of the project structure.