Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices

A DEMATEL-based completion method for incomplete pairwise comparison matrix in AHP

“…Some of them use the incomplete matrix to assign priority weight to each alternative without completion [7,8,9,10,11]. Some methods are devoted to estimate the missing values in matrix [12,13,14,15,16,17,18,19,20,21,22]. While these methods have a good effect on allocating the priority weights to alternatives, the methods that focus on matrix completion are more "well-rounded" to restore the preference relations between each pair of alternatives, which are inaccessible before completion.…”

Incomplete pairwise comparative judgments: Recent developments and a proposed method

“…The problems have received considerable attention from researchers in this field, and within the perspective of the current review, estimation of missing comparisons is first considered and then are the efforts to reduce the number of PWs. With regard to the estimation of missing comparisons, there are several works published in the literature that investigate this topic (Harker, 1987a,b,c;Carmone et al, 1997;Fedrizzi & Giove, 2007;Bozoki, 2010;Bozoki et al, 2010;Peng et al, 2011;Zhang et al, 2012;Wang et al, 2012;Xu et al, 2013;Srdjevic et al, 2014;Bochkov & Zhigirev, 2014;Benitez et al, 2015;Chen et al, 2015;Um, 2016;Ergu et al, 2016;Wang et al, 2016;Tekile & Bozóki, 2017;Al Salem, 2017;Zhou et al, 2018). Next, some of the most recent articles have examined to obtain an idea of the current developments.…”

“…They applied the proposed method to evaluate the sustainability of transportation infrastructure. It is worth commenting that Kou et al (2015) made an extensive review of various relevant aspects in the analysis of pairwise comparison matrices such as measurement scales, consistent index, cardinal, and ordinal inconsistency, missing data estimation, priority derivation methods and made some remarks about the reduction of pairwise comparisons.…”

A new parsimonious AHP methodology: Assigning priorities to many objects by comparing pairwise few reference objects

“…The DM supplies some specific pairwise M A N U S C R I P T comparisons of the matrix, typically those he is more confident in, and the missing values are then estimated from the given evaluations. Several techniques have been developed for this purpose (Benítez et al, 2014;Bozóki et al, 2010;Chen et al, 2015;Csató and Rónyai, 2016;Fedrizzi and Giove, 2007;Gomez-Ruiz et al, 2010;Harker, 1987). This approach presents two main questions: Which evaluations do I need to provide?…”