Abstract
As it was discussed in previous chapters, an appealing approach for eliciting qualitative data for an MCDM problem is to use pairwise comparisons. Next suppose that a decision maker wishes to elicit the relative priorities, or weights of importance, of n entities via a sequence of pairwise comparisons. As before, these n entities could be the decision criteria, or the alternatives to be examined in terms of a single decision criterion in some MCDM problem. Then, as it was illustrated in Chapter 3, the decision maker must elicit the value of n(n−1)/2 pairwise comparisons. Therefore, if an MCDM problem involves m alternatives and n decision criteria (multiple hierarchical levels are not considered at this point), then the total number of the required pairwise comparisons is equal to n(n−1)/2 + n(m(m−1)/2).
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© 2000 Springer Science+Business Media Dordrecht
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Triantaphyllou, E. (2000). Reduction of Pairwise Comparisons Via a Duality Approach. In: Multi-criteria Decision Making Methods: A Comparative Study. Applied Optimization, vol 44. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3157-6_7
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DOI: https://doi.org/10.1007/978-1-4757-3157-6_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4838-0
Online ISBN: 978-1-4757-3157-6
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