Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean
Result description
In this paper, inconsistency of pair-wise comparison matrix with fuzzy elements is investigated. Inconsistency is based on the distance of the matrix to a special matrix measured by a particular metric. New inconsistency index of reciprocal matrix with fuzzy elements is introduced and newly designed method of logarithmic least squares for eliciting associated weights is applied. Some basic properties of the index are derived, simple illustrating examples and results of numerical simulation for comparingthe new index with Saaty´s consistency ratio are supplied.
Keywords
data analysisdecision makinguncertaintypair-wise comparisonreciprocal matrixinconsistencytriangular fuzzy numbers
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean
Original language description
In this paper, inconsistency of pair-wise comparison matrix with fuzzy elements is investigated. Inconsistency is based on the distance of the matrix to a special matrix measured by a particular metric. New inconsistency index of reciprocal matrix with fuzzy elements is introduced and newly designed method of logarithmic least squares for eliciting associated weights is applied. Some basic properties of the index are derived, simple illustrating examples and results of numerical simulation for comparingthe new index with Saaty´s consistency ratio are supplied.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
161
Issue of the periodical within the volume
17
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
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UT code for WoS article
596QK
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BB - Applied statistics, operational research
Year of implementation
2010