Measuring Inconsistency of Pair-wise Comparison Matrix with Fuzzy Elements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F13%3A%230002187" target="_blank" >RIV/47813059:19520/13:#0002187 - 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 Inconsistency of Pair-wise Comparison Matrix with Fuzzy Elements

Popis výsledku v původním jazyce

This paper deals with measuring inconsistency and incompatibility of pair-wise comparison matrix with fuzzy elements. Here we deal with some properties of such pair-wise comparisons, particularly, reciprocity consistency and compatibility. Moreover, we show how to measure it defining two new indices. The first index of inconsistency is based on the classical concept of consistency, however, instead of principle eigenvector method used in AHP we apply the logarithmic least squares method. Defining the second index of incompatibility we look for a consistent matrix in the form of the ratio matrix with the maximal membership grade as close as possible to the original fuzzy matrix. This leads to solving a nonlinear optimization problem which can be transformed to a sequence of LP ones. We compare properties and application areas of both indices. The first index FI is suitable for non-interactive elements of fuzzy matrices, particularly, when uncertainty of individual elements of the matrix

Název v anglickém jazyce

Measuring Inconsistency of Pair-wise Comparison Matrix with Fuzzy Elements

Popis výsledku anglicky

This paper deals with measuring inconsistency and incompatibility of pair-wise comparison matrix with fuzzy elements. Here we deal with some properties of such pair-wise comparisons, particularly, reciprocity consistency and compatibility. Moreover, we show how to measure it defining two new indices. The first index of inconsistency is based on the classical concept of consistency, however, instead of principle eigenvector method used in AHP we apply the logarithmic least squares method. Defining the second index of incompatibility we look for a consistent matrix in the form of the ratio matrix with the maximal membership grade as close as possible to the original fuzzy matrix. This leads to solving a nonlinear optimization problem which can be transformed to a sequence of LP ones. We compare properties and application areas of both indices. The first index FI is suitable for non-interactive elements of fuzzy matrices, particularly, when uncertainty of individual elements of the matrix

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

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

2013

Kód důvěrnosti údajů

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

Název periodika

International Journal of Operations Research

ISSN

1813-7148

e-ISSN

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Svazek periodika

10

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CN - Čínská lidová republika

Počet stran výsledku

9

Strana od-do

100-108

Kód UT WoS článku

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EID výsledku v databázi Scopus

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