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

Content Provider	Springer Nature Link
Author	Chen, Kun Kou, Gang Michael Tarn, J. Song, Yan
Copyright Year	2015
Abstract	Missing values and inconsistency of pairwise comparison matrices (PCM) in AHP are tackled with different methods in extant studies. In this article, we prove that connecting path method (CPM), which is a well-known approach of estimating missing judgments, also guarantees minimal geometric consistency index, and only involves elementary connecting paths by unraveling its connection with logarithmic least square method. The formal proofs suggest that CPM alone is sufficient to fix both missing judgments and inconsistency of PCM in AHP. Based on this well grounded merit, a procedure is proposed to improve consistency for incomplete PCM. The validity of the proposed procedure is illustrated by classical examples, and its advantages over other consistency improving approaches are also discussed in detail.
Starting Page	155
Ending Page	175
Page Count	21
File Format	PDF
ISSN	02545330
Journal	Annals of Operations Research
Volume Number	235
Issue Number	1
e-ISSN	15729338
Language	English
Publisher	Springer US
Publisher Date	2015-09-05
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	AHP Pairwise comparison matrix Missing values Improved consistency Connecting path method Operation Research/Decision Theory Combinatorics Theory of Computation
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research

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