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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F11%3APU96209" target="_blank" >RIV/00216305:26230/11:PU96209 - 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
The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem
Original language description
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
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 29th International Conference on Mathematical Methods in Economics 2011
ISBN
978-80-7431-059-1
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
157-162
Publisher name
Professional Publishing
Place of publication
Praha 4
Event location
Janská Dolina
Event date
Sep 6, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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