On Consistency and Uncertainty of Interval Pairwise Comparison Matrices

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On Consistency and Uncertainty of Interval Pairwise Comparison Matrices

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

On Consistency and Uncertainty of Interval Pairwise Comparison Matrices

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

AH - Ekonomie

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-02424S" target="_blank" >GA14-02424S: Metody operačního výzkumu pro podporu rozhodování v podmínkách neurčitosti</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

6

Strana od-do

519-524

Název nakladatele

Západočeská univerzita

Místo vydání

Plzeń

Místo konání akce

Cheb

Datum konání akce

9. 9. 2015

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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