On Consistency and Uncertainty of Interval Pairwise Comparison Matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F15%3A%230003526" target="_blank" >RIV/47813059:19520/15:#0003526 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On Consistency and Uncertainty of Interval Pairwise Comparison Matrices
Original language description
In the analytic hierarchy process (AHP) it is assumed that pairwise comparisons of objects with regard to a superior element of a hierarchy are expressed by crisp numbers from Saaty fundamental scale {1/ 9,1/ 8,...,1,...,8,9} . But real-world decision making almost always involves some degree of uncertainty. In this paper uncertainty is modeled by interval numbers, and pairwise comparisons of all objects from the same hierarchy level form interval pairwise comparison matrices (IPCMs). The aim of the paper is to examine consistency of IPCMs in the AHP framework, and to propose several measures of IPCMs degree of inconsistency, namely average random inconsistency, mid-point inconsistency and maximal inconsistency. Also, a measure of information uncertainty (entropy) of IPCMs is introduced as well. These measures provide useful information on quality of decision makers judgments, and can be used, for instance, to estimate decision makers (a posteriori) weights in a group decis ion making
Czech name
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Czech description
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Project
<a href="/en/project/GA14-02424S" target="_blank" >GA14-02424S: Methods of operations research for decision support under uncertainty</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 33rd International Conference of Mathematical Methods in Economics
ISBN
978-80-261-0539-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
519-524
Publisher name
Západočeská univerzita
Place of publication
Plzeń
Event location
Cheb
Event date
Sep 9, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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