use of bijectivity research in fuzzy logic or fuzzy control

Michael Drawe (Michael.Drawe@ruhr-uni-bochum.de)
Tue, 16 Nov 1999 07:18:44 +0100 (MET)

I have done some research in fuzzy control.
The fuzzyfication can be done injectively, e.g.
temperatur onto a 3-tupel {cold, medium, hot}
The image set can be seen as
a curve in the 3-dimensional unit square.
But under what conditions is this curve
an embedding?

After getting the first results I do now need
help for further investigations.

Where can this research be useful
in fuzzy control oder fuzzy logic?

I have never read about this research with fuzzy numbers.
Do you know the right books?

Thank you.

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