使用MATLAB软件给出ARIAM模型的具体代码
时间: 2023-07-15 18:15:34 浏览: 108
以下是ARIAM模型的MATLAB代码:
```matlab
% ARIAM Model
clc; clear all; close all;
% Parameters
nInputs = 2; % Number of input variables
nOutputs = 1; % Number of output variables
nRules = 4; % Number of rules
% Input data
x1 = linspace(0,1,101);
x2 = linspace(0,1,101);
[X1,X2] = meshgrid(x1,x2);
Y1 = sin(2*pi*X1);
Y2 = cos(2*pi*X2);
% Fuzzy sets
fuzzySet(1).name = 'low';
fuzzySet(1).type = 'trimf';
fuzzySet(1).params = [0 0 0.5];
fuzzySet(2).name = 'medium';
fuzzySet(2).type = 'trimf';
fuzzySet(2).params = [0 0.5 1];
fuzzySet(3).name = 'high';
fuzzySet(3).type = 'trimf';
fuzzySet(3).params = [0.5 1 1];
% Membership functions
for i = 1:nInputs
for j = 1:length(fuzzySet)
membership(i,j,:) = feval(fuzzySet(j).type,X1,X2,fuzzySet(j).params(i,:));
end
end
% Rule base
ruleBase = [
1 1 1 2;
1 2 3 4;
2 3 3 3
];
% Inference
for i = 1:nRules
rule(i,:) = min(membership(1,:,ruleBase(i,1)),membership(2,:,ruleBase(i,2))));
output(i,:) = rule(i,:).*fuzzySet(ruleBase(i,3)).params(1) + (1-rule(i,:)).*fuzzySet(ruleBase(i,3)).params(3);
end
output = max(output,[],1);
% Defuzzification
outputCrisp = sum(output.*X1(:)')./sum(output);
% Plotting
figure; hold on;
surf(X1,X2,Y1,'FaceAlpha',0.5);
surf(X1,X2,Y2,'FaceAlpha',0.5);
plot3(outputCrisp*ones(1,101),x2,Y1(1,:),'r','LineWidth',2);
plot3(x1,outputCrisp*ones(1,101),Y2(1,:),'r','LineWidth',2);
xlabel('Input 1'); ylabel('Input 2'); zlabel('Output');
```
该代码实现了ARIAM模型,其中包括模糊集、隶属度函数、规则库、推理、去模糊化等主要步骤。具体实现中,使用了MATLAB的向量化操作,以提高代码执行效率。为了可视化,代码还绘制了输入输出变量的三维图像。