The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem

Popis výsledku v původním jazyce

The aim of the article is to introduce Shannon entropy and the relative entropy into ordinal consensus ranking problem (OCRP) context as a measure of uncertainty of preferences within a group of decision makers (DMs). An existence of a consensus in the OCRP crucially depends on initial decision makers' preferences: rankings of n objects from the 1st to the nth place. When those rankings are markedly different, there is high entropy (uncertainty) associated with DMs' preferences and a unique consensus within a group is unlikely to be achieved. However, when DMs' rankings are similar, the entropy is small and a consensus is much more likely to be obtained. In the article a relationship between the relative entropy of DMs preferences and an agreement among four classic methods' for OCRP solutions is discussed on several examples. Moreover, experimental evaluation of the relationship is performed and our results indicate that there is a negative relation between the relative entropy and th

Název v anglickém jazyce

The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem

Popis výsledku anglicky

The aim of the article is to introduce Shannon entropy and the relative entropy into ordinal consensus ranking problem (OCRP) context as a measure of uncertainty of preferences within a group of decision makers (DMs). An existence of a consensus in the OCRP crucially depends on initial decision makers' preferences: rankings of n objects from the 1st to the nth place. When those rankings are markedly different, there is high entropy (uncertainty) associated with DMs' preferences and a unique consensus within a group is unlikely to be achieved. However, when DMs' rankings are similar, the entropy is small and a consensus is much more likely to be obtained. In the article a relationship between the relative entropy of DMs preferences and an agreement among four classic methods' for OCRP solutions is discussed on several examples. Moreover, experimental evaluation of the relationship is performed and our results indicate that there is a negative relation between the relative entropy and th

Druh

D - Stať ve sborníku

CEP obor

AH - Ekonomie

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název statě ve sborníku

PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II

ISBN

978-80-7431-058-4

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

157-162

Název nakladatele

PROFESSIONAL PUBLISHING

Místo vydání

Praha

Místo konání akce

Jánská Dolina, SR

Datum konání akce

1. 1. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000309074600026