Question

The ANFIS system is used to model a two input XOR function. The ANFIS
structure with 2 rules is shown in Figure Q2.
Figure Q2
The input layer (layer 1) is described by a Gaussian membership function
represented by the following equation:
= exp (
−( − )2
22 )
The weights of the input layer are listed in Table Q2 a)
A1 A2 B1 B2
σ c σ c σ c σ c
0.2345 -0.0597 0.2383 1.059 100 1 100 1
Table Q2 a)
The system is trained and the following rule base is generated:
R1: IF x is A1 AND y is B1 THEN f(x,y) = a1 x + b1 y + c1
R2: IF x is A2 AND y is B2 THEN f(x,y) = a2 x + b2 y + c2
The weight of the fourth layer are listed in Table Q2 b)
a b c
R1 1.894E-5 1 -2.541E-5
R2 0.5 -1 0.5
Table Q2 b)
i) Evaluate the ANFIS system output for the following inputs:
x = 0.1, y = 0.9
x = 0.2, y = 0.1

Answer 1

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