# VisualUTA

VisualUTA is the first implementation of the UTA^GMS method for multiple
criteria ranking of alternatives from set A using a set of additive value
functions which result from an ordinal regression. The preference information
provided by the decision maker is a set of pairwise comparisons on a subset of
alternatives A^R, called reference alternatives. The preference model built via
ordinal regression is a set of all additive value functions compatible with the
preference information. Using this model, one can define two relations in the
set A: the necessary weak preference relation (strong outranking) which holds
for any two alternatives a, b from set A if and only if for all compatible value
functions a is preferred to b, and the possible weak preference relation (weak
outranking) which holds for this pair if and only if for at least one compatible
value function a is preferred to b. These relations establish a necessary
(strong) and a possible (weak) ranking of alternatives from A, being,
respectively, a partial preorder and a strongly complete and negatively
transitive relation.

The UTA^GMS method is intended to be used interactively, with an increasing
subset A^R and a progressive statement of pairwise comparisons. When no
preference information is provided, the necessary weak preference relation is a
weak dominance relation, and the possible weak preference relation is a complete
relation. Every new pairwise comparison of reference alternatives is enriching
the necessary relation and it is impoverishing the possible relation, so that
they converge with the growth of the preference information. Moreover, the
method can support the decision maker also when his/her preference statements
cannot be represented in terms of an additive value function.

## More information and citation

Detailed presentation of the UTA^GMS method can be found in:

S. Greco, V. Mousseau, R. Słowiński: Ordinal regression revisited: multiple
criteria ranking with a set of additive value functions. Cahier du LAMSADE no.
240, Université de Paris-Dauphine, 2005.

## Download

**Legal disclaimer:** The program is the property of the Laboratory of
Intelligent Decision Support of the Institute of Computing Science of the Poznan
University of Technology. It is distributed free of charge for education and
research, subject to quotation of the software name and its origins, as well as
of the above reference, in all written material about the use of VisualUTA.

Proceed to the download page.