References on the 'shape' of fuzzy sets?

Martin Ameskamp (
Mon, 5 Aug 1996 11:53:40 +0200

Hi there,

after reading various papers and books on fuzzy logic control, listening to
conference presentations, and making the odd experiment myself, I've come to
the conclusion that the exact 'shape' of a fuzzy set is much less important
than its overall form, size, and position; meaning that one might as well
use linear (trapezoidal) functions in cases where these are easier to
handle or more efficient in computation (I'm sure there are many

Does anyone know of a publication I could cite that comes to the same
conclusion? It's hard to know from the title (e.g. from the FSS master
index) whether a paper does contain a statement of this sort.

Any help is much appreciated,


Martin Ameskamp, Inst. f. Informatik I (Computing Dept.)
Kiel University, Olshausenstr. 40, 24118 Kiel, Germany
Fax: ++49 431 8804054, Voice: ++49 431 8804474,, URL