ahmad fajar nugroho (12518241040).docx
TRANSCRIPT
Laporan Praktikum
SISTEM KENDALI CERDAS
CRISP SETS DAN FUZZY SETS
Oleh:
Ahmad Fajar Nugroho (12518241040)
I. Tujuan
Menentukan identitas dasar dalam fuzzy sets.
II. Hasil dan Analisis
Modul sqrmf :
% modul sqrmf.m
function [val] = sqrmf(x,a,b)
val = max(min(min((x-a)/0.001,(b-x)/0.001),1),0);
return;
Modul gbellmf :
% modul gbellmf.m
function [y] = gbellmf(x,a,b,c)
y = 1./(1+(((x-c)/a).^2).^b);
return;
Modul Crisp sets dan Fuzzy set
x=0:10:600; %semesta (kedalaman laut)
%crisp sets
A=sqrmf(x,0,200);
B=sqrmf(x,200,400);
C=sqrmf(x,400,600);
%fuzzy sets
Az=gbellmf(x,60,2.5,100);
Bz=gbellmf(x,60,2.5,300);
Cz=gbellmf(x,60,2.5,500);
%Crisp Sets and Fuzzy Sets (Set A, Set B, And Set C)
figure(1)
clf
hold on
grid on
plot(x,A,'g--',x,B,'y--',x,C,'r--',x,Az,'g',x,Bz,'y',x,Cz,'r');
axis([-inf inf 0 1.2]);
title('Fuzzy dan Crisp Sets (Kedalaman Laut)');
ylabel('Nilai Himpunan Fuzzy');
text(87,1.1,'Dangkal'); text(288,1.1,'Sedang'); text(490,1.1,'Dalam');
hold off
Figure 1, Set nilai Fuzzy dan Crisp sets
Sub Modul 2 : Contradiction and Excluded Middle
%Contradiction and Excluded Middle
figure(2)
clf
hold on
subplot(221)
plot(x,A,'--',x,1-A,'-.',x,min(A,1-A),'r');
axis ([-inf inf 0 1.2]);
title('A And (Not A)');
subplot(222)
plot(x,Az,'--',x,1-Az,'-.',x,min(Az,1-Az),'r');
axis ([-inf inf 0 1.2]);
title('A And (Not A)');
subplot(223)
plot(x,A,'--',x,1-A,'-.',x,max(A,1-A),'r');
axis ([-inf inf 0 1.2]);
title('A Or (Not A)');
subplot(224)
plot(x,Az,'--',x,1-Az,'-.',x,max(Az,1-Az),'r');
axis ([-inf inf 0 1.2]);
title('A Or (Not A)');
hold off
Figure 2, Contradiction and Excluded Middle
Sub Modul 3 : Indempotency Law
%Indempotency Law
figure(3)
clf
hold on
subplot(221)
plot(x,A,'b',x,Az,'r');
axis([-inf inf 0 1.2]);
title('A');
set(gca ,'xtick', [0 200 400 600]);
subplot(222)
plot(x,min(A,A),'b',x,min(Az,Az),'r');
axis([-inf inf 0 1.2]);
title('A and A');
set(gca ,'xtick', [0 200 400 600]);
subplot(223)
plot(x,max(A,A),'b',x,max(Az,Az),'r');
axis([-inf inf 0 1.2]);
title('A or A');
set(gca ,'xtick', [0 200 400 600]);
subplot(224)
plot(x,1-(1-A),'b',x,1-(1-Az),'r');
axis([-inf inf 0 1.2]);
title('Not (Not A)');
set(gca ,'xtick', [0 200 400 600]);
hold off
Figure 3, Indempotency Law
Sub Modul 4 : Comutative Law
% Comutative Law
figure(4)
clf
hold on
subplot(221)
plot(x,min(A,B),'b',x,min(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('A and B');
set(gca ,'xtick', [0 200 400 600]);
subplot(222)
plot(x,min(B,A),'b',x,min(Bz,Az),'r');
axis([-inf inf 0 1.2]);
title('B and A');
set(gca ,'xtick', [0 200 400 600]);
subplot(223)
plot(x,max(A,B),'b',x,max(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('A or B');
set(gca ,'xtick', [0 200 400 600]);
subplot(224)
plot(x,max(B,A),'b',x,max(Bz,Az),'r');
axis([-inf inf 0 1.2]);
title('B or A');
set(gca ,'xtick', [0 200 400 600]);
hold off
Figure 4, Comutative Law
Sub Modul 5 : Associative Law
%Associative Law
figure(5)
clf
hold on
subplot(221)
plot(x,min(min(A,B),C),'b',x,min(min(Az,Bz),Cz),'r');
axis([-inf inf 0 1.2]);
title('(A and B) and C');
set(gca ,'xtick', [0 200 400 600]);
subplot(222)
plot(x,min(A,min(B,C)),'b',x,min(Az,min(Bz,Cz)),'r');
axis([-inf inf 0 1.2]);
title('A and (B and C)');
set(gca ,'xtick', [0 200 400 600]);
subplot(223)
plot(x,max(max(A,B),C),'b',x,max(max(Az,Bz),Cz),'r');
axis([-inf inf 0 1.2]);
title('(A or B) or C');
set(gca ,'xtick', [0 200 400 600]);
subplot(224)
plot(x,max(A,max(B,C)),'b',x,max(Az,max(Bz,Cz)),'r');
axis([-inf inf 0 1.2]);
title('A or (B or C)');
set(gca ,'xtick', [0 200 400 600]);
hold off
Figure 5, Associative Law
Sub Modul 6 : Distributive Law
%Distributive Law
figure(6)
clf
hold on
subplot(221)
plot(x,max(A,min(B,C)),'b',x,max(Az,min(Bz,Cz)),'r');
axis([-inf inf 0 1.2]);
title('(A or B) and C');
set(gca ,'xtick', [0 200 400 600]);
subplot(222)
plot(x,min(max(A,B),max(A,C)),'b',x,min(max(Az,Bz),max(Az,Cz)),'r');
axis([-inf inf 0 1.2]);
title('(A or B) and (A or C)');
set(gca ,'xtick', [0 200 400 600]);
subplot(223)
plot(x,min(A,max(B,C)),'b',x,min(Az,max(Bz,Cz)),'r');
axis([-inf inf 0 1.2]);
title('A and (B or C)');
set(gca ,'xtick', [0 200 400 600]);
subplot(224)
plot(x,max(min(A,B),min(A,C)),'b',x,max(min(Az,Bz),min(Az,Cz)),'r');
axis([-inf inf 0 1.2]);
title('(A and B) or (A and C)');
set(gca ,'xtick', [0 200 400 600]);
hold off
Figure 6, Distributive Law
Sub Modul 7 : Absorption Law
%Abrsorption
figure(7)
clf
hold on
subplot(221)
plot(x,A,'b',x,Az,'r');
axis([-inf inf 0 1.2]);
title('A');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(222)
plot(x,max(A,min(A,B)),'b',x,max(Az,min(Az,Bz)),'r');
axis([-inf inf 0 1.2]);
title('A or (A and B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(223)
plot(x,A,'b',x,Az,'r');
axis([-inf inf 0 1.2]);
title('A');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(224)
plot(x,min(A,max(A,B)),'b',x,min(Az,max(Az,Bz)),'r');
axis([-inf inf 0 1.2]);
title('A and (A or B)');
set(gca, 'xtick', [ 0 200 400 600]);
hold off
Figure 7, Absorption Law
Sub Modul 8 : Absorption of Complement Law
%Absorbtion of complement
figure(8)
clf
hold on
subplot(221)
plot(x,max(A,min((1-A),B)),'b',x,max(Az,min((1-Az),Bz)),'r');
axis([-inf inf 0 1.2]);
title('A or (Not A and B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(222)
plot(x,max(A,B),'b',x,max(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('A or B');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(223)
plot(x,min(A,max((1-A),B)),'b',x,min(Az,max((1-Az),Bz)),'r');
axis([-inf inf 0 1.2]);
title('A and (Not A or B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(224)
plot(x,min(A,B),'b',x,min(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('A and B');
set(gca, 'xtick', [ 0 200 400 600]);
hold off
Figure 8, Absorption of Complement Law
Sub Modul 9 : DeMorgan Law
%DeMorgan
figure(9)
clf
hold on
subplot(221)
plot(x,1-max(A,B),'b',x,1-max(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('Not (A or B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(222)
plot(x,min(1-A,1-B),'b',x,min(1-Az,1-Bz),'r');
axis([-inf inf 0 1.2]);
title('(Not A) and (Not B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(223)
plot(x,1-min(A,B),'b',x,1-min(Az,Bz),'r');
axis([-inf inf 0 1.2]);
title('Not (A and B)');
set(gca, 'xtick', [ 0 200 400 600]);
subplot(224)
plot(x,max(1-A,1-B),'b',x,max(1-Az,1-Bz),'r');
axis([-inf inf 0 1.2]);
title('(Not A) or (Not B)');
set(gca, 'xtick', [ 0 200 400 600]);
hold off
Figure 9, DeMorgan law
III. Kesimpulan
Dari hasil praktikum di atas, gambar 8, pada bagian 3 dan 4 tidak dapat dipakai karena
kurva yang dihasilan tidak sama, sedangkan pada sub modul dan figur lainnya, masing-
masing memiliki kesamaan pada perbandingan himpunan sesuai dengan hukum yang
terdapat pada modul 1 (fuzzy set dan crips set).