About: Consistency versus transitivity in pair-wise comparison matrices

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative or in additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one for which the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented. Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative or in additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one for which the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented. (en)
Title	Consistency versus transitivity in pair-wise comparison matrices Consistency versus transitivity in pair-wise comparison matrices (en)
skos:prefLabel	Consistency versus transitivity in pair-wise comparison matrices Consistency versus transitivity in pair-wise comparison matrices (en)
skos:notation	RIV/47813059:19520/13:#0002191!RIV14-GA0-19520___
http://linked.open...avai/predkladatel	Obchodně podnikatelská fakulta v Karviné
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA402/09/0405)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Ramík, Jaroslav Kiszová, Zuzana
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	Slezská univerzita v Opavě / Obchodně podnikatelská fakulta v Karviné
http://linked.open...dnocenehoVysledku	66766
http://linked.open...ai/riv/idVysledku	RIV/47813059:19520/13:#0002191
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	AHP; decision analysis; fuzzy sets and systems (en)
http://linked.open.../riv/klicoveSlovo	fuzzy sets and systems decision analysis AHP
http://linked.open...ontrolniKodProRIV	[F2CD44CC4864]
http://linked.open...v/mistoKonaniAkce	Jihlava
http://linked.open...i/riv/mistoVydani	Jihlava
http://linked.open...i/riv/nazevZdroje	31st International Conference Mathematical Methods in Economics 2013
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of Non-standard Optimization Methods and their Applications in Economy and Management
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Ramík, Jaroslav KISZOVÁ, Zuzana
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	VSP- College of Polytechnics Jihlava
https://schema.org/isbn	978-80-87035-76-4
http://localhost/t...ganizacniJednotka	19520

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