Example: Colour Films –Discarding Dominated Variants

Following decision contains attributes of 6 colour film evaluated by:

1. Price (CZK)
2. Sensitivity – real, measured (ISO)
3. Possibility of overexposure (exposure grades)
4. Possibility of underexposure (exposure grades)
5. Resolution of lines (number of lines per 1 mm)

 Variant f1 f2 f3 f4 f5 1. 170,00 28,80 3,00 1,00 94,00 2. 165,00 30,20 4,00 1,50 105,00 3. 173,00 28,30 3,00 1,00 119,00 4. 168,00 27,60 4,00 0,50 105,00 D 173,00 27,60 3,00 0,50 94,00
1. Absolute Dominance

If any real variant is equal to negative ideal variant D i.e. all it‘s attributes are equal to column minimal values if all criteria are maximal that is not this case (the price is minimal criterion).

As follows from the table above, no real variant is equal to negative optimum.
2. Pairwise sequential comparison

• Compare first two alternatives and if one is dominated by other, discard the dominated one.
• Compare the undiscarded alternatives with third alternative and discard any dominated alternative
• The nondominated set is determined after (m-1) comparisons
Numerical Example:
1. compare: A1 and A2

2. A1 is dominated by A2; A1 did not pass to following comparison
3. compare: A2 and A3 – no dominance
4. compare: A2 and A4
A4 is dominated by A2 A3 and A4 – no dominance Conclusion: A1 and A4 are dominated variants.