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粗糙集相对最优近似集是阈值为0.5时的粗糙集
function [R] = Approximation_set(matrix, U_big)
%%ÉÏϽüËÆ¼¯ºÍ½üËÆ¼¯
%ÊäÈ룺Ñù±¾Êý¾Ý¡¢ºÍÊôÐÔ¼¯ºÏ
%Êä³ö£ºR_lowerϽüËÆ¼¯ R_upÉϽüËÆ¼¯ R_0_5 0.5½üËÆ¼¯
[rows,cols] = size(matrix);
R_num = 1;
%%ÇóËùÓÐÌõ¼þÊôÐÔÁн»¼¯
U_big_temp = U_big(1);
for condition_cols = 1:cols-2 %Ìõ¼þÊôÐÔÁÐ
a = 1;
for i = 1:length(U_big_temp.value)%Ìõ¼þÊôÐÔȡֵ¸öÊýǰһÁÐ
for j = 1:length(U_big(condition_cols 1).value)%Ìõ¼þÊôÐÔȡֵ¸öÊýºóÒ»ÁÐ
Con_c_temp(a).value = intersect(cell2mat(struct2cell(U_big_temp...
.value(i))),cell2mat(struct2cell(U_big(...
condition_cols 1).value(j))));%Ìõ¼þÊôÐÔ¼¯ºÏ
if ~isempty(Con_c_temp(a).value)
a=a 1;
end
end
end
U_big_temp.value = Con_c_temp;
end
%%
%ÉϽüËÆ¼¯£ºÓÐÒ»¸ö°üº¬¾Í°üº¬
% for i = 1:length(U_big(cols).value)%¾ö²ßÊôÐÔ¸öÊý
% c = 1;
% for j = 1:length(U_big_temp.value)%Ìõ¼þÊôÐÔ¸öÊý
% lia = ismember(cell2mat(struct2cell(U_big_temp.value(j))),...
% cell2mat(struct2cell(U_big(cols).value(i))));%ÄÜÕÒµ½µÄÔªËØÎª1
% R_up_num = any(lia);%È·¶¨ËùÓеÄÊý×éÔªËØÊÇΪ·ÇÁ㻹ÊÇ true ·Ç0Ϊ1
%
% if(R_up_num == 1)
% if c == 1
% R_up(i).value = cell2mat(struct2cell(U_big_temp.value(j)));
% else
% R_up(i).value = [R_up(i).value,cell2mat(struct2cell(...
% U_big_temp.value(j)))];
% end
% c = c 1;
% R_up(i).value = unique(R_up(i).value);%Êý×鯴½ÓºóÈ¥³ýÖØ¸´ÔªËØ
% end
% end
%
% end
% R(R_num).value = R_up;
% R_num = R_num 1;
%%
%0.5½üËÆ¼¯£º´óÓÚ0.5¸ö°üº¬¾Í°üº¬
accuracy_num = 20;
accuracy = 0.05;
for a = 1:accuracy_num
R_0_5 = [];
for i = 1:length(U_big(cols).value)%¾ö²ßÊôÐÔ¸öÊý
c = 1;
for j = 1:length(U_big_temp.value)%Ìõ¼þÊôÐÔ¸öÊý
% tiaojianshuxing = U_big_temp.value(j)
% jueceshuxing = U_big(cols).value(i)
lia = ismember(cell2mat(struct2cell(U_big_temp.value(j))),...
cell2mat(struct2cell(U_big(cols).value(i))));%ÄÜÕÒµ½µÄÔªËØÎª1
[C,~,ic] = unique(lia);
a_counts = accumarray(ic,1);
a_counts_sum = sum(a_counts);
R_0_5_num = 0;%³õʼ»¯R_0_5Ϊ0
for k = 1:length(C)
if C(k) == 1
R_0_5_num = a_counts(k)/ a_counts_sum;
end
end
if(R_0_5_num >= accuracy * a)
if c == 1
R_0_5(i).value = cell2mat(struct2cell(U_big_temp.value(j)));
else
R_0_5(i).value = [R_0_5(i).value,cell2mat(struct2cell(...
U_big_temp.value(j)))];
end
c = c 1;
R_0_5(i).value = unique(R_0_5(i).value);%Êý×鯴½ÓºóÈ¥³ýÖØ¸´ÔªËØ
end
end
end
R(R_num).value = R_0_5;
R_num = R_num 1;
end
%%
%ϽüËÆ¼¯£ºÍêÈ«°üº¬
% for i = 1:length(U_big(cols).value)%¾ö²ßÊôÐÔ¸öÊý
% c = 1;
% for j = 1:length(U_big_temp.value)%Ìõ¼þÊôÐÔ¸öÊý
% lia = ismember(cell2mat(struct2cell(U_big_temp.value(j))),...
% cell2mat(struct2cell(U_big(cols).value(i))));
% R_lower_num = all(lia);%È·¶¨ËùÓеÄÊý×éÔªËØÊÇΪ·ÇÁ㻹ÊÇ true
% if(R_lower_num == 1)
% if c == 1
% R_lower(i).value = cell2mat(struct2cell(U_big_temp.value(j)));
% else
% R_lower(i).value = [R_lower(i).value,cell2mat(struct2cell(...
% U_big_temp.value(j)))];
% end
% c = c 1;
% R_lower(i).value = unique(R_lower(i).value);%Êý×鯴½ÓºóÈ¥³ýÖØ¸´ÔªËØ
% end
% end
% end
%
% R(R_num).value = R_lower;
% R_num = R_num 1;
end