neural network tutorial 3

8/17/2019 neural network tutorial 3

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BITS PilaniDubai Campus

BITS F312 NNFL


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BITS PilaniDubai Campus

Dr.V.KALAICHELVI.,ASST.PROF/EEE


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BITS Pilani, Dubai Campus

● S-shaped function

● Z-shaped function

● Triangular Membership Function

● Trapezoidal Membership Function

● Gaussian Distribution Function

● Pi function

Various Types of Membership Function

V.Kalaichelvi., Asst.Prof/EEE


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S shaped membership Function


0 , for x a

2[(x-a) / (c-a)]2 , for a x b

S(x, a, b, c) = 1- 2[(x-c) / (c-a)]2 , for b < x c

1 , for x c

a b c

Figure S-shaped Membership Function


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Program -S shaped membership Function


x = 0:0.02:1;

y = smf(x,[0.2 0.45]);

plot(x,y)xlabel('smf, P=[0.2 0.45 0.65]')

ylim([-0.05 1.05])


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smf, P=[0.2 0.45 0.65]

M e m b e r s h i p f u n c t i o n


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Program for S shaped MF


10/32BITS Pilani, Dubai CampusV.Kalaichelvi., Asst.Prof/EEE



x = 0:0.02:1;y = zmf(x,[0.25 0.45]);

plot(x,y)

xlabel('zmf, P=[3 7]')

ylim([-0.05 1.05])

Program



Graphical Representation

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X: 0.26

Y: 0.995

zmf, P=[3 7]



x = 0:0.1:10;

y = zmf(x,[3 7]);

plot(x,y)xlabel('zmf, P=[3 7]')

ylim([-0.05 1.05])

Program –Z Membership Function



x = 0:10:100;

y = trimf(x,[10 50 90]);

plot(x,y)

xlabel('trimf, P=[10 50 90 ]')ylim([-0.05 1.05])

Program





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trimf, P=[10 50 90]

M e m b e r s h i p F u n c

t i o n



Program for Trapezoidal

x = 0:0.1:10;

y = trapmf(x,[1 5 7 8]);

plot(x,y)

xlabel('trapmf, P=[1 5 7 8]')

ylabel('Membership Function')

ylim([-0.05 1.05])

title('Program for Trapezoidal MF')

grid0 1 2 3 4 5 6 7 8 9 10

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trapmf, P=[1 5 7 8]

M e m b e r s

h i p F u n c t i o n

Program for Trapezoidal MF



x = 0:0.1:20;

y = gaussmf(x,[2 5]);

plot(x,y)

xlabel('gaussmf, P=[2 5]')

Program for gaussian

Membership Function

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gaussmf, P=[25]


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This spline-based curve is so named because of its Πshape.

The membership function is evaluated at the points

determined by the vector x.

The parameters a and d locate the "feet" of the curve,while b and c locate its "shoulders.“

The membership function is aproduct smf and zmf membership functions.

Pi Function


http://www.mathworks.com/help/fuzzy/smf.htmlhttp://www.mathworks.com/help/fuzzy/zmf.htmlhttp://www.mathworks.com/help/fuzzy/zmf.htmlhttp://www.mathworks.com/help/fuzzy/smf.html


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BITS Pilani, Dubai CampusV.Kalaichelvi., Asst.Prof/EEE


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x = (0:0.1:10)';

y1 = trapmf(x, [2 3 7 9]);

y2 = trapmf(x, [3 4 6 8]);

plot(x, [y1 y2]);

ylim([-0.05 1.05])

grid

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Two Trapezoidal MF in onefigure window


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x = (0:0.1:10)';y1 = gaussmf(x, [0.5 5]);

y2 = gaussmf(x, [1 5]);

y3 = gaussmf(x, [2 5]);

y4 = gaussmf(x, [3 5]);

subplot(211); plot(x, [y1 y2 y3 y4]);

y1 = gaussmf(x, [1 2]);

y2 = gaussmf(x, [1 4]);

y3 = gaussmf(x, [1 6]);

y4 = gaussmf(x, [1 8]);

subplot(212); plot(x, [y1 y2 y3 y4]);

Program with Subplotcommand

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V Kalaichelvi Asst Prof/EEE

Use of Subplot

SUBPLOT Create axes in tiled positions.

H = SUBPLOT(m,n,p), or SUBPLOT(mnp), breaks the Figure window

into an m-by-n matrix of small axes, selects the p-th axes for

the current plot, and returns the axes handle. The axes are

counted along the top row of the Figure window, then the second

row, etc. For example,

SUBPLOT(2,1,1), PLOT(income)

SUBPLOT(2,1,2), PLOT(outgo)

plots income on the top half of the window and outgo on thebottom half. If the CurrentAxes is nested in a uipanel the

panel is used as the parent for the subplot instead of the

current figure.

neural network tutorial 3

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