Re: Inconsistency

Orestes Mas (conomc@tsc.upc.es)
Fri, 8 Dec 1995 17:20:37 +0100


In article <wi-dama.24.000DAC9C@wi.wiso.uni-dortmund.de> wi-dama@wi.wiso.uni-dortmund.de (Dagmar Mack) writes:

>Hello everybody,

>I have a question concerning cycles in fuzzy inference.
>Letīs assume there are three rules in the rule set:

> - IF weather=bad THEN weather=good
> - IF weather=bad THEN rain=strong, IF rain=strong THEN weather=good

>When using the 1/0-logic the rules seem semantically to be inconsistent.
>But when using fuzzy-logic it is not. Two questions arise within these rules:

See the excellent article by P. Grim in

P. Grim, "Self Reference and Chaos in fuzzy Logic", in IEEE Trans. on Fuzzy
Systems, vol. 1, No. 1, pp. 237-253, November 1993.

Hope this helps

Orestes Mas
conomc@tsc.upc.es