Example: Lexicographic method

Consider following decision matrix with two criteria:

   

D=

A1

2

6

A2

3

4

A3

4

2

Suppose that f1 is more important criterion, but the differences of 1 or less are assumed to be not significant. The A1 will be preferred to A2 (since difference of f1 is not significant but difference of f2 is), A2 to A3, but A3 to A1 (since difference of f1 is significant).