1,603 research outputs found
On the geometric mean method for incomplete pairwise comparisons
When creating the ranking based on the pairwise comparisons very often, we
face difficulties in completing all the results of direct comparisons. In this
case, the solution is to use the ranking method based on the incomplete PC
matrix. The article presents the extension of the well known geometric mean
method for incomplete PC matrices. The description of the methods is
accompanied by theoretical considerations showing the existence of the solution
and the optimality of the proposed approach.Comment: 15 page
Heuristic Rating Estimation Method for the incomplete pairwise comparisons matrices
The Heuristic Rating Estimation Method enables decision-makers to decide
based on existing ranking data and expert comparisons. In this approach, the
ranking values of selected alternatives are known in advance, while these
values have to be calculated for the remaining ones. Their calculation can be
performed using either an additive or a multiplicative method. Both methods
assumed that the pairwise comparison sets involved in the computation were
complete. In this paper, we show how these algorithms can be extended so that
the experts do not need to compare all alternatives pairwise. Thanks to the
shortening of the work of experts, the presented, improved methods will reduce
the costs of the decision-making procedure and facilitate and shorten the stage
of collecting decision-making data.Comment: 13 page
Testing Preference Axioms in Discrete Choice experiments: A Reappraisal
Recent studies have tested the preference axioms of completeness and transitivity, and have detected other preference phenomena such as unstability, learning- and tiredness effects, ordering effects and dominance, in stated preference discrete choice experiments. However, it has not been explicitly addressed in these studies which preference models are actually being tested, and the connection between the statistical tests performed and the relevant underlying models of respondent behavior has not been explored further. This paper tries to fill that gap. We specifically analyze the meaning and role of the preference axioms and other preference phenomena in the context of stated preference discrete choice experiments, and examine whether or how these can be subject to meaningful (statistical) tests.stated preference discrete choice experiments; completeness; transitivity; random utility; statistical tests
Towards secure judgments aggregation in AHP
In the decision making methods the common assumption is the honesty and
professionalism of experts. However, this is not the case when one or more
experts in the group decision making framework, such as the group analytic
hierarchy process (GAHP), try to manipulate results in their favor. The aim of
this paper is to introduce two heuristics in the GAHP setting allowing to
detect the manipulators and minimize their effect on the group consensus by
diminishing their weights. The first heuristic is based on the assumption that
manipulators will provide judgments which can be considered outliers with
respect to judgments of the rest of the experts in the group. Second heuristic
assumes that dishonest judgments are less consistent than average consistency
of the group. Both approaches are illustrated with numerical examples and
simulations.Comment: 32 page
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