Consistency versus transitivity in pair-wise comparison matrices
Result description
Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative orin additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one forwhich the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Consistency versus transitivity in pair-wise comparison matrices
Original language description
Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative orin additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one forwhich the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
—
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
31st International Conference Mathematical Methods in Economics 2013
ISBN
978-80-87035-76-4
ISSN
—
e-ISSN
—
Number of pages
6
Pages from-to
373-378
Publisher name
VSP- College of Polytechnics Jihlava
Place of publication
Jihlava
Event location
Jihlava
Event date
Sep 11, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—
Basic information
Result type
D - Article in proceedings
CEP
BB - Applied statistics, operational research
Year of implementation
2013