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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 the ag 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 the ag (en)
Title	The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem (en)
skos:prefLabel	The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem The Evaluation of the Entropy of Decision Makers' Preferences in Ordinal Consensus Ranking Problem (en)
skos:notation	RIV/00216305:26230/11:PU96209!RIV13-MSM-26230___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Fiedor, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta informačních technologií
http://linked.open...dnocenehoVysledku	198385
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/11:PU96209
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	entropy, group decision analysis, ordinal consensus ranking problem, preferences, uncertainty (en)
http://linked.open.../riv/klicoveSlovo	entropy group decision analysis ordinal consensus ranking problem preferences uncertainty
http://linked.open...ontrolniKodProRIV	[A8B6D7CE667B]
http://linked.open...v/mistoKonaniAkce	Janská Dolina
http://linked.open...i/riv/mistoVydani	Praha 4
http://linked.open...i/riv/nazevZdroje	Proceedings of the 29th International Conference on Mathematical Methods in Economics 2011
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Fiedor, Jan Mazurek, Jiří
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-09-06 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Professional Publishing
https://schema.org/isbn	978-80-7431-059-1
http://localhost/t...ganizacniJednotka	26230

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