engleski

Measure of Inconsistency for the Potential Method

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.

decision making preference graph inconsistency measure condition of order preservation randomization

doi: 978-3-642-34620-0