Example: Lexicographic method
Consider following decision matrix with two criteria:
D= 
A_{1} 
2 
6 
A_{2} 
3 
4 

A_{3} 
4 
2 
Suppose that f_{1} is more important criterion, but the differences of 1 or less are assumed to be not significant. The A_{1} will be preferred to A_{2} (since difference of f_{1} is not significant but difference of f_{2} is), A_{2} to A_{3}, but A_{3} to A_{1 }(since difference of f_{1} is significant).