Hello. I would like to write the equation used by the function ‘calibrate’ included in a fuzzy set software.

Such command does the following:

http://www.u.arizona.edu/~cragin/fsQ...alibration.pdf

(“The direct method of calibration“, p. 13-15).

From that I arrived at:

Y = exp{( X – Xh) * (X- Xh) *[ 3/(Xo – Xh )]} / {1 + exp{( X – Xh) * (X- Xh) *[ 3/(Xo – Xh )]}}

For X > Xh

and Y = exp{( X – Xh) * (X- Xh) *[ -3/(Xz – Xh )]} / {1 + exp{( X – Xh) * (X- Xh) *[ -3/(Xz – Xh)]}}

For X < Xh

Where:

Y = output (fuzzy score)

X = input (original score)

Xz = threshold of full non-membership

Xh = crossover point

Xo = threshold of full membership

Did I get it more or less right? I would be happy to receive your comments. Thank you.