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For a generalized bell shaped membership function specified by three parameters [a,b,c], which of the following statements are true? Parameter a defines the shape of the curve Parameter a defines the width of the membership function Parameter a defines the centre of the membership function None of the above

Question

For a generalized bell shaped membership function specified by three parameters [a,b,c], which of the following statements are true? Parameter a defines the shape of the curve Parameter a defines the width of the membership function Parameter a defines the centre of the membership function None of the above

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Solution

The statement "Parameter a defines the width of the membership function" is true. In a generalized bell shaped membership function, the parameter 'a' controls the width of the curve, 'b' controls the slope of the sides, and 'c' shifts the curve left or right, defining the center of the membership function.

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