EconPapers    
Economics at your fingertips  
 

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

Kun Chen (), Gang Kou, J. Michael Tarn and Yan Song

Annals of Operations Research, 2015, vol. 235, issue 1, 155-175

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. Copyright Springer Science+Business Media New York 2015

Keywords: AHP; Pairwise comparison matrix; Missing values; Improved consistency; Connecting path method (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5) Track citations by RSS feed

Downloads: (external link)
http://hdl.handle.net/10.1007/s10479-015-1997-z (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:235:y:2015:i:1:p:155-175:10.1007/s10479-015-1997-z

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-015-1997-z

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla ().

 
Page updated 2020-04-23
Handle: RePEc:spr:annopr:v:235:y:2015:i:1:p:155-175:10.1007/s10479-015-1997-z