Functions defined by fuzzy rules

Dimitri Lisin (
Sat, 28 Mar 1998 22:56:50 +0100 (MET)

Greetings, All.

I am rather new to this field, as the case seems to be with most people
who post questions here.

The little that I understand abut fuzzy logic is that a fuzzy inferencing
system, i.e. a set of fuzzy rules that relate, say, two variables
approximate a function. What I may need to do, is take a regular
algebraic function, for example y = x^2, and generate a set of fuzzy rules
relating x and y that approximate the function (on some interval). Can
anyone point me to any literature on the subject?

Another question, more out of curiosity than necessity. If a function is
defined in terms of a set of fuzzy rules, is it possible to differentiate
or integrate it? Any literature discussing this?

Dima Lisin