102nd Meeting of the EURO Working Group in Multiple Criteria Decision Aiding

Consistency of pairwise comparisons matrices sufficient to apply the Heuristic Rating Method

Not scheduled

20m

Siemens Auditorium (HIT E 51) (ETH Zürich)

Discussion Paper

Speaker

Jacek Szybowski (AGH University of Krakow, Poland)

Description

In the papers [1,2] Heuristic Rating Estimation (HRE) method in decision making has been introduced. It is useful when the priorities of some referential alternatives are initially known.It might be the case of introducing new products to the market, or adding new players to the ranking list. However, as it was pointed in [3] in the case of the arithmetic HRE, for some specific data, the procedure may not work.

We study the level of the Saaty consistency index of pairwise comparisons matrices (PCMs) sufficient to proceed with HRE. We consider both the arithmetic and the geometric versions of HRE for complete and incomplete PCMs. We also show that the obtained tresholds of inconsistency are optimal.

This research was funded by the IDUB AGH initiative – Inicjatywa Doskonałości – Uczelnia Badawcza programme at the AGH University of Krakow.

[1] Kułakowski, K., 2015. A heuristic rating estimation algorithm for the pairwise comparisons method. Central European Journal of Operations Research 23 (1), 187–203.
URL http://dx.doi.org/10.1007/s10100-013-0311-x
[2] Kułakowski, K., Grobler-Debska, K., Was, J., 2015. Heuristic rating estimation: geometric approach. Journal of Global Optimization 62 (3), 529–543.
[3] Kułakowski, K., 2016. Notes on the existence of a solution in the pairwise comparisons method using the heuristic rating estimation approach. Annals of Mathematics and Artificial Intelligence 77 (1),
105–121.
URL http://dx.doi.org/10.1007/s10472-015-9474-6