fpfsnd1.m

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% Citation:
% Memiş, S., Enginoğlu, S., Erkan, U., 2021. Numerical Data Classification 
% via Distance-Based Similarity Measures of Fuzzy Parameterized Fuzzy Soft 
% Matrices. IEEE Access, 9, 88583-88601.
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% Abbreviation of Journal Title: IEEE Access
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% https://doi.org/10.1109/ACCESS.2021.3089849
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% https://www.researchgate.net/profile/Samet_Memis2
% https://www.researchgate.net/profile/Serdar_Enginoglu2
% https://www.researchgate.net/profile/Ugur_Erkan
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% % Demo: 
% clc;
% clear all;
% % a and b two fpfs-matrices
% % d is the Normalized Hamming pseudo-distance of the fpfs-matrices a and b 
% a=rand(5,4); 
% b=rand(5,4); 
% d=fpfsnd1(a,b);
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%Normalized Hamming pseudo-metric over fpfs-matrices
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function X=fpfsnd1(a,b)
if size(a)~=size(b)
    error('The sizes of the matrices must be the same.');
else
[m,n]=size(a);
d=0;
  for i=2:m
    for j=1:n
       d=d+abs(a(1,j)*a(i,j)-b(1,j)*b(i,j));
    end
  end
  X=d/((m-1)*n);
end
end