hack fuzzy identity?

karl (kmeissner@activision.com)
Fri, 11 Sep 1998 02:38:14 +0200 (MET DST)

I was wondering what fuzzy membership sets would give
me the identity function, making an inference rule act like y = x.

I have an input x, and an output y, that both range between 0 and 1.
I want the defuzzified value of y to equal the crisp value of x. I would
like to write a rule like this

if (identity_x)

identity_y
}

where the identity are fuzzy sets. The only things that has worked
so far is an enormous number of little triangles, at each interval of
x and y

if (one_x)

one_y
} else if (two_x)

two_y
} else if (three_x)

three_y
}
... and so on

gah!!! what a hack.

Any ideas?

Karl

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