问题
This first matrix table1 contains normalized values for 5 names.I need to perform some operations on this matrix and I have to obtain second matrix as shown in table2.
Diagonal elements of table2 should obtained by giving rank(ordinal value) to each value.That means highest element is given 5th rank and next 4th 3rd and so on.
Remaining elements of table obtained by giving rank to each value starting from 4 because only 4 elements remaining. Because already we are given rank to diagonal elements.Zero should be kept as it is.Suppose take table1 as A matrix and table2 as B matrix.
OPERATION1:For diagonal elements
B(1,1)=5(first largest element)
B(2,2)=1(5th largest element)
B(3,3)=4(4th largest element)
B(4,4)=2(2nd largest element)
B(5,5)=3(3rd largest element)
OPERATION2:For remaining elements
B(1,2)=3(2nd largest element)
B(1,3)=4(1st largest element)
B(1,4)=1(4th largest element)
B(1,5)=2(3rd largest element)
And so on..
Table1:
BASAVARAJ MANOJ NATESH VIJAY GOWDA
BASAVARAJ 1.0000 0.2727 0.3182 0.0455 0.2727
MANOJ 0.2727 0.2727 0 0 0
NATESH 0.3182 0 0.4545 0.1818 0
VIJAY 0.0455 0 0.1818 0.2727 0.0909
GOWDA 0.2727 0 0 0.0909 0.3636
Table2:
BASAVARAJ MANOJ NATESH VIJAY GOWDA
BASAVARAJ 5 3 4 1 2
MANOJ 4 1 0 0 0
NATESH 4 0 4 3 0
VIJAY 2 0 4 2 3
GOWDA 4 0 0 3 3
来源：https://stackoverflow.com/questions/23262264/sorting-matrix-diagonal-wise-and-indexes-are-given-as-rank-using-matlab