模糊控制习题一.docx

1、一、完成下述模糊集合的根本运算:1、设论域为X=X1,X2,X3,X4,X5678A和B为论域X上的两个模糊集合:a0.20.40.60.81.00.80.50.2A=+xIX2X3X4X5X6X7X8B=+雪与”+丝+丝XlX2X4X5X6X7X8试计算：AJB,AB,AJ(BA)oMA1Ir.050.70.61.01.00.80.50.2解：AUB=+；XX?X,XsX6X7XgAnB=0.20.40.80.80.60.40.2+X1X2X4XSX6X1X8IZ40O/0A(BA)=三Xi0.40.60.81.00.80.50.8+X?X3兀XsXsXiX82、设X、Y、Z为论域，X到Y的

2、模糊关系为R,Y到Z的模糊关系为S。模糊关系矩阵为：0.30.60.80.0.50.30.8R二0.50.20.70.4,S二0.90.70.20.90.10.80.50.10.40.50.30.40.20.6.0.40.10.9试求：X到Z的模糊关系。分析：由于R是XY上的模糊关系，S是YZ上的模糊关系。那么XZ上的模糊关系为R与S的模糊合成。解：编程实现此题的运算程序如下：#includevoidmain()(floatd4=0;floata44=(0.3,0.6,0,8,0.1,0.5,0.2,0,7,0.4),0.9,0.1,0.8,0.5,0.3,0.4,0.2,0.6;floatb

3、43=0.5,0,3,0.8,0.9,0,7,0.2,0.1,0.4,0.5,0.4,0.1,0.9;floatc43=0;inti,j,k;for(i=0;i4;i+)for(k=0;k3;k+)for(j=0;jbjk)?bjk:aij;if(djdO)dO=dj;cik=d0;)coutcikB)(x,y)=(l-A(x)V(A(x)B(y)其隶属函数的定义为：/(x,y)=(I-(x)V(/(x)/(y)解：编程实现上述运算：程序代码如下：#includevoidmain()(floatA5=0.2,0.4,0,6,0.8,1.0;floatB5=0.2,0.5,0,7,1.0,0.8;floatC55=0;floatF55=0;floatH55=0;inti,j;for(i=0;i5;i+)for(j=0;jBj)?Bj:Ai;/CoUtCijt;)floatD5=0;for(i=0;i5;i+)(Di=l-Ai;/coutDi7ztzz;)floatE5=l,1,1,1,1;for(i=0;i5;i+)for(j=0;jEj)?EjrDi;/coutFijt;)for(i=0;i5;i+)for(j=0;j5;j+)(Hij=(CijFij)7Fij:Cij;coutHijt;)运行以上程序可知：