Re: fuzzy logic

On Apr 7, 3:50 pm, Kirk Zurell <k...@xxxxxxxxxxxxx> wrote:
I can give one geometry example that is illustrative. I tried to
create a fuzzy circle drawing program, a fuzzy equivalent to the
x^2 + y^2 = r^2 algebra. I created 'width' and 'height'
linguistic variables, and created rules like 'IF width IS very
wide THEN height IS very tall' and so forth.

I think that drawing a circle misses the point. Drawing a round shape
is much closer to what could be considered fuzzy geometry. Two obvious
applicaitons of fuzzy logic would be:

1. identify a round shape. A circle is round, mu=1, a fractal is not,
mu=0, and various shapes fall in between.

2. run around in circles on rough ground, full of boulders and
potholes.

But given that a circle has a crisp definition, you cannot draw a
fuzzy circle unless you define what you mean.
.

Relevant Pages

  • Re: How to create some "roughly circular"?
    ... The answer depends on the universal set upon which the fuzzy one lives. ... Let us take as an example Cartesian coordinate system, i.e. RxR. ... A rough circle there would be a fuzzy subset of RxR containing the points ... These features are usually ...
    (comp.ai.fuzzy)
  • Re: How to create some "roughly circular"?
    ... The answer depends on the universal set upon which the fuzzy one lives. ... Let us take as an example Cartesian coordinate system, i.e. RxR. ... A rough circle there would be a fuzzy subset of RxR containing the points ... These features are usually ...
    (comp.ai.fuzzy)
  • Re: fuzzy logic
    ... create a fuzzy circle drawing program, ... I think that drawing a circle misses the point. ... crisp circles linguistically. ... describes shapes linguistically. ...
    (comp.ai.fuzzy)
  • Re: fuzzy logic
    ... Admittedly I was approaching the problem from our control background, looking at a circle as just another output waveform. ... its qualities accurately in human linguistic terms, we might not be able to encode it in fuzzy logic. ... Note that this will yet tell nothing about axes and their relations. ... Neither it is in geometry, ...
    (comp.ai.fuzzy)
  • Re: fuzzy logic
    ... Same is true for crisp logic too. ... looking at a circle as just another output waveform. ... but waveform is not a fuzzy curve in the sense of a fuzzy subset over ...
    (comp.ai.fuzzy)