71.

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Page 161

Figure 4.6 Four types of commonly used fuzzy membership functions: (a) Monotonic; (b) triangular; (c) trapezoidal; (d) bell-shaped.

Trapezoidal:

(4.28)

Bell-shaped:

(4.29)

The parameter s denotes a measurement (e.g. a pixel value), μ(s) is the membership grade, a denotes the centre of the fuzzy membership function, and λ controls the width of the membership function.

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