jaccard similarity Algorithm
The Jaccard similarity algorithm, also known as the Jaccard coefficient, is a statistical measure used to quantify the similarity between two sets. This algorithm is particularly useful in various applications such as natural language processing, document clustering, and collaborative filtering. The Jaccard similarity is calculated by dividing the number of elements in the intersection of the two sets (i.e., the common elements between the two sets) by the number of elements in the union of the two sets (i.e., the total unique elements in both sets). The resulting value ranges from 0 to 1, where 0 indicates no similarity and 1 indicates that the two sets are identical.
One of the main advantages of the Jaccard similarity algorithm is its simplicity and ease of interpretation. The algorithm does not consider the frequency of elements in the sets, making it particularly suitable for binary or categorical data. However, this also means that the Jaccard similarity is not well-suited for continuous data or situations where the frequency of elements is an essential aspect of the analysis. Despite its limitations, the Jaccard similarity algorithm remains a popular choice for comparing sets in various domains, thanks to its straightforward approach and ease of implementation.
function p = jaccard_similarity(A,B)
%% jaccard similarity
% This function calculates jaccard similarity index of inputs arrays A and
% B. The formula to find the Index is (number of entries in both sets) / (number of entries in either set) * 100
% The higher the percentage, the more similar the two arrays.
% For this, each of input arrays is modified by removing its same entries
% (except on them), then number of common entries between two new arrays is
% calculated by comparing them.
modified_A = unique(A);
modified_B = unique(B);
length_mA = length(modified_A);
length_mB = length(modified_B);
common_number = 0; %initialize the number of common entries
if length_mA <= length_mB
X = modified_A;
Y = modified_B;
else
X = modified_B;
Y = modified_A;
end
for i = 1:length(X)
for j = 1:length(Y)
if X(i) == Y(j)
common_number = common_number + 1;
end
end
end
total_number = length_mA + length_mB - common_number;
p = (common_number/total_number)*100;
end
