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What Is Fuzzy Logic?

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Diff. Sigmoidal MF<br />

Purpose<br />

Description<br />

Difference of two sigmoids membership function in Simulink software<br />

The Diff. Sigmoidal MF block implements a membership function in<br />

Simulink based on the difference between two sigmoids. The two<br />

sigmoid curves are given by<br />

f<br />

k<br />

( x)<br />

= 1<br />

1 + − −<br />

exp( a ( x c ))<br />

k<br />

k<br />

where k=1,2. The parameters a 1<br />

and a 2<br />

control the slopes of the left and<br />

right curves. The parameters c 1<br />

and c 2<br />

control the points of inflection for<br />

theleftandrightcurves.Theparametersa 1<br />

and a 2<br />

should be positive.<br />

See Also<br />

dsigmf<br />

6-2

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