How to write a matlab code for a given algorithm from a given array and function?

I would like to write a matlab code to calculate the value of a function of two variables g(i,j) = i + j + 1 for every pair (i,j) in the set MV = {[1,3]; [2,4]; [5,6]; [5,4]; [7,2]} so that the output results in g = {5, 7, 12, 10, 9} based on the following algorithm:

Step 0. MV_0 = empty set;

Step 1. h=1;

Step 2. while MV_h ~= empty set {

Step 3. for every (i,j) in MV {

Step 4. g(i,j)

Step 5. }

Step 6. h=h++

Step 7. }

So far I have tried the following, but I couldn't figure it out. Please any hint/assistance. Thanks in advance!

MV = {}; % Step 0
h = 1; % Step 1
%  MV= intersect(r(r==1),s(s==3)) 
while isempty(MV{h})==0 % MV{h} is nonempty from Step 2
    MV = {[1,3]; [2,4]; [5,6]; [5,4]; [7,2]};
    
    % Step 3,  for every (i,j) in EMV{h}
    for i=1:length(MV)
        for j = 1:length(MV)     
              MV{h} = g(i,j); % Step 4    
        end
    end
    h = h+1;   % Step 6
end

Index exceeds the number of array elements. Index must not exceed 0.

g % to get the final result g = {5, 7, 12, 10, 9}

% subfunction
function y = g(i,j)
y = i+j+1;
end

Answer 1

[Walter Roberson]

MATLAB does not permit using () to create pairs.

MATLAB does not have a "tuple" datatype. The closest equivalent for it are vectors (for homogenous numeric data types) or cell array vectors (for mixed data)

    MV = {[1,3], [2,4], [5,6], [5,4], [7,2]}

[HAT]

@Walter Roberson I've edited now. But it has still an error.

[Walter Roberson]

MV = {}; % Step 0
h = 1; % Step 1
%  MV= intersect(r(r==1),s(s==3)) 
while isempty(MV{h})==0 % MV{h} is nonempty from Step 2
    MV = {[1,3]; [2,4]; [5,6]; [5,4]; [7,2]};
    
    % Step 3,  for every (i,j) in EMV{h}
    for i=1:length(MV)
        for j = 1:length(MV)     
              MV{h} = g(i,j); % Step 4    
        end
    end
    h = h+1;   % Step 6
end

Index exceeds the number of array elements. Index must not exceed 0.

g % to get the final result g = {5, 7, 12, 10, 9}

% subfunction
function y = g(i,j)
y = i+j+1;
end

This makes sense. You start out MV as empty, {}, so MV{1} does not exist and so you cannot isempty() it.

Step 0.  MV_0 = empty set;
Step 1.   h=1;
Step 2.  while MV_h ~= empty set {
Step 3.     for every (i,j) in MV {
Step 4.            g(i,j)
Step 5.     }
Step 6.    h=h++
Step 7.      }

MV_h is not the same as MV_0, and you have not defined MV_h . If MV_h is intended to represent MV indexed at h then you have the problem that MV indexed at 1 has not been defined since you initialized MV at 0.