I'd use grep to find the exact matches and the numbers in one of the arrays (I used @A below) as keys in a hash (%in_A), built using a map. Finally another grep to find the matches in different columns:

use List::Util 'shuffle';

my @A = (shuffle 0 .. 5)[0 .. 3];
my @B = (shuffle 0 .. 5)[0 .. 3];

my $exact = grep { $A[$_] == $B[$_] } 0 .. 3;

my %in_A    = map { $_ => 1 } @A;
my $inexact = (grep { $in_A{$_} } @B) - $exact;

print "A = [@A]\nB = [@B]\n";
print "exact:   $exact\n";
print "inexact: $inexact\n";
[download]

The inexact matches also includes the exact matches, hence the subtraction in the second grep.

Sample output:

A = [4 5 1 0]
B = [3 1 5 0]
exact:   1
inexact: 2
[download]

update: added sample output, improved output format & used grep to calculate inexact matches

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