Measuring transitivity of fuzzy pairwise comparison matrix.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F12%3A%230002145" target="_blank" >RIV/47813059:19520/12:#0002145 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Measuring transitivity of fuzzy pairwise comparison matrix.

Popis výsledku v původním jazyce

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 conceptof 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.

Název v anglickém jazyce

Measuring transitivity of fuzzy pairwise comparison matrix.

Popis výsledku anglicky

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 conceptof 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.

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

<a href="/cs/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Rozvoj nestandardních optimalizačních metod a jejich aplikace v ekonomii a managementu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of 30th International Conference Mathematical Methods in Economics

ISBN

978-80-7248-779-0

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

751-756

Název nakladatele

Slezská univerzita v Opavě, Obchodně podnikatelská fakulta v Karviné

Místo vydání

Karviná

Místo konání akce

Karviná

Datum konání akce

1. 1. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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