Measuring Inconsistency of Pair-wise Comparison Matrix with Fuzzy Elements

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Measuring Inconsistency of Pair-wise Comparison Matrix with Fuzzy Elements

Original language description

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

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

<a href="/en/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Development of Non-standard Optimization Methods and their Applications in Economy and Management</a><br>

Continuities

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

Publication year

2013

Confidentiality

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

Name of the periodical

International Journal of Operations Research

ISSN

1813-7148

e-ISSN

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Volume of the periodical

10

Issue of the periodical within the volume

2

Country of publishing house

CN - CHINA

Number of pages

9

Pages from-to

100-108

UT code for WoS article

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EID of the result in the Scopus database

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