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Statements

Subject Item

n2:RIV%2F47813059%3A19520%2F12%3A%230002145%21RIV13-GA0-19520___

rdf:type

skos:Concept n9:Vysledek

dcterms:description

A pair-wise comparison matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value representing the element of the pair-wise comparison matrix. In AHP, the matrix represents a multiplicative preference relation. Here, consistency property plays an essential role. To provide a consistency measure of the pair-wise comparison matrix, the consistency ratio is defined in AHP. In some situations another interpretation is convenient. The preferences can be represented by a fuzzy preference relation, given by the membership function denoting the preference degree (or intensity) of one alternative over the other. The role of consistency is played by the concept of transitivity. In this paper we investigate relations between several types of transitivity of fuzzy relations and multiplicative preference relations. Similarly to the consistency ratio we also define the grade of transitivity. A pair-wise comparison matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value representing the element of the pair-wise comparison matrix. In AHP, the matrix represents a multiplicative preference relation. Here, consistency property plays an essential role. To provide a consistency measure of the pair-wise comparison matrix, the consistency ratio is defined in AHP. In some situations another interpretation is convenient. The preferences can be represented by a fuzzy preference relation, given by the membership function denoting the preference degree (or intensity) of one alternative over the other. The role of consistency is played by the concept of transitivity. In this paper we investigate relations between several types of transitivity of fuzzy relations and multiplicative preference relations. Similarly to the consistency ratio we also define the grade of transitivity.

dcterms:title

Measuring transitivity of fuzzy pairwise comparison matrix. Measuring transitivity of fuzzy pairwise comparison matrix.

skos:prefLabel

Measuring transitivity of fuzzy pairwise comparison matrix. Measuring transitivity of fuzzy pairwise comparison matrix.

skos:notation

RIV/47813059:19520/12:#0002145!RIV13-GA0-19520___

n9:predkladatel

n10:orjk%3A19520

n3:aktivita

n12:P

n3:aktivity

P(GA402/09/0405)

n3:dodaniDat

n7:2013

n3:domaciTvurceVysledku

n15:9820434

n3:druhVysledku

n4:D

n3:duvernostUdaju

n17:S

n3:entitaPredkladatele

n19:predkladatel

n3:idSjednocenehoVysledku

149078

n3:idVysledku

RIV/47813059:19520/12:#0002145

n3:jazykVysledku

n6:eng

n3:klicovaSlova

multi-criteria optimization, pair-wise comparison matrix, AHP

n3:klicoveSlovo

n18:pair-wise%20comparison%20matrix n18:AHP n18:multi-criteria%20optimization

n3:kontrolniKodProRIV

[A6F3AADE2C1D]

n3:mistoKonaniAkce

Karviná

n3:mistoVydani

Karviná

n3:nazevZdroje

Proceedings of 30th International Conference Mathematical Methods in Economics

n3:obor

n22:BB

n3:pocetDomacichTvurcuVysledku

1

n3:pocetTvurcuVysledku

1

n3:projekt

n16:GA402%2F09%2F0405

n3:rokUplatneniVysledku

n7:2012

n3:tvurceVysledku

Ramík, Jaroslav

n3:typAkce

n13:WRD

n3:zahajeniAkce

2012-01-01+01:00

s:numberOfPages

6

n21:hasPublisher

Slezská univerzita v Opavě. Obchodně podnikatelská fakulta v Karviné

n8:isbn

978-80-7248-779-0

n20:organizacniJednotka

19520