ihoecken wrote:
May be I'm wrong, but all Fuzzy-Logic algorithms I know are randomized.
No, this is incorrect. The "fuzzy" in fuzzy logic refers to graded truth values, not randomness or chance. This is an important point.
ihoecken wrote:
Take a look at measurement of polygons. A "coin" is dropped to an rectangular area. If it falls on the polygon it's counted. Afterwards you can calculate the size dividing the counted coints by all coins thrown. Knowing the size of the rectangular, you can calculate the size of the polygon. This is a very simple fuzzy logic algorithm ...
No, this is called a "Monte Carlo" algorithm, and is not fuzzy at all.
ihoecken wrote:
This is a very simple fuzzy logic algorithm, but all others I know (for picture stabilization for cameras) are working in the same way. There is always a probabilistic algorithm in the background and so it's non-deterministic. The definition of fuzzy logic has nothing to do with probabilistic working (it's about multistate bits), I know, but I don't know algorithms which uses multistate bits without probabilistics.
Although systems which employ fuzzy logic might employ randomness somewhere, the "fuzziness" of fuzzy logic is not probabilistic. I refer interested parties to: Usenet Fuzzy Logic and Fuzzy Expert Systems FAQ The Fuzzy Systems Handbook by Earl Cox (ISBN-13: 978-0121942700) Fuzzy Sets and Fuzzy Logic by George J. Klir and Bo Yuan (ISBN-13: 978-0131011717)