在优化算法中,已知评价指标HV代码如下,求HVD的matlab代码:
时间: 2024-02-13 15:00:13 浏览: 165
在MATLAB中,您可以使用以下代码实现HVD的计算:
```
function hvd = hypervolume_difference(set1, set2, reference_point)
% 计算两个解集之间的hypervolume差异
hv_set1 = hypervolume(set1, reference_point);
hv_set2 = hypervolume(set2, reference_point);
hvd = hv_set1 - hv_set2;
end
function hv = hypervolume(points, reference_point)
% 计算解集的hypervolume
hull = convhulln(points);
volume = 0;
for i = 1:size(hull, 1)
simplex = hull(i, :);
volume = volume + n_dimensional_volume(points(simplex, :), reference_point);
end
hv = volume;
end
function volume = n_dimensional_volume(simplex, reference_point)
% 计算n维立方体的体积
n = size(simplex, 2);
if n == 1
volume = reference_point - simplex;
elseif n == 2
volume = prod(reference_point - simplex);
else
a = simplex(1, :);
b = simplex(2, :);
c = simplex(3, :);
normal = cross(a - c, b - c);
normal = normal / norm(normal);
d = dot(normal, a);
dist = dot(normal, reference_point) - d;
volume = dist * n_dimensional_volume(simplex(:, 1:n-1), reference_point);
end
end
```
其中,set1和set2分别表示两个解集,reference_point是参考点(一般为全局最优解),用于计算hypervolume。`hypervolume_difference`函数用于计算两个解集之间的hypervolume差异,`hypervolume`函数用于计算解集的hypervolume,`n_dimensional_volume`函数用于计算n维立方体的体积。
请注意,此代码使用了MATLAB的`convhulln`函数来计算解集的凸包。
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