Naslov
Measure of Inconsistency for the Potential Method

Autori
Lavoslav, Čaklović

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
9th International Conference Modeling Decisions for Artificial Intelligence (MDAI 2012) ; Lecture Notes in Computer Science 7647 (2012) / Torra, V. ; Narukawa, Y. ; Lopez, B. ; Villaret, M. (Eds.) - Berlin : Heidelberg : Springer, 2012, 102-114

ISBN
978-3-642-34620-0

Skup
9th International Conference Modeling Decisions for Artificial Intelligence (9 ; 2012

Mjesto i datum
Girona, Španjolska, 21.11.2012. - 23.11.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
decision making preference graph inconsistency measure condition of order preservation randomization

Sažetak
The inconsistency of the decision maker’s preferences may be measured as a number of violations of the transitivity rule. If the intensity of the preference is available, then the incosistency may be measured by measuring the inconsistency of each cycle of the preference graph. In the Potential Method, this may be accomplished by mesuring an angle (degree) between the preference flow and the column space of the incidence matrix. In this article a random study is performed to determine the upper bound for admissible inconsistency. The degree distribution is recognized as the Gumbel distribution and the upper bound for admissible inconsistency measure is defined as a p-quantile (p = 0.05) of that distribution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Doi: 978-3-642-34620-0

POVEZANOST RADA