calculate the Hypervolume Indicator

hello

suppose that the result for

 paretofront= [
2 3 8 10 7 6 1 5 4 9 228322 193446 
3 1 6 7 8 4 9 2 5 10 202824 199956 
3 1 9 6 4 8 7 10 2 5 188568 213468 
3 4 6 7 10 1 9 2 5 8 195552 201754 
3 4 6 9 10 1 5 2 7 8 192584 209184 
3 4 9 6 1 10 7 8 2 5 191232 210608 
4 9 1 10 3 5 2 6 7 8 187646 235662 
5 1 9 7 8 4 6 2 10 3 188150 222904 
7 1 9 5 4 8 6 10 3 2 219958 193646 
8 5 6 1 7 9 3 4 2 10 229986 193024 
9 1 6 5 4 8 3 10 7 2 207094 195000 
9 1 6 5 4 8 7 10 3 2 206716 197990 
9 1 6 7 4 8 3 10 5 2 205332 198298

]

and my algorthim result non dominat set

nondominatset=[ Columns 1 through 7

           3           4           6           9          10           1           5
           3           4           9           6           1          10           7
           3           4           6           7          10           1           9
           3           1           9           6           4           8           7
           9           1           6           7           4           8           3
           9           1           6           5           4           8           3
           9           1           6           5           4           8           7
           7           1           9           5           4           8           6
           3           1           6           7           8           4           9
           2           3           8          10           7           6           1
           8           5           6           1           7           9           3
           4           9           1          10           3           5           2

Columns 8 through 12

           2           7           8      192584      209184
           8           2           5      191232      210608
           2           5           8      195552      201754
          10           2           5      188568      213468
          10           5           2      205332      198298
          10           7           2      207094      195000
          10           3           2      206716      197990
          10           3           2      219958      193646
           2           5          10      202824      199956
           5           4           9      228322      193446
           4           2          10      229986      193024
           6           7           8      187646      235662

]

i want apply Hypervolume Indicator for this result

this is the Hypervolume Indicator function in matlab

http://www.mathworks.com/matlabcentral/fileexchange/19651-hypervolume-indicator/content/hypervolume.m

can any one help me with simple explaniation

[Amir Hosein Fardi]

https://www.mathworks.com/matlabcentral/mlc-downloads/downloads/submissions/30785/versions/2/download/zip