Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supporting the robust ordinal regression approach to multiple criteria
  decision aiding with a set of representative value functions   In this paper we propose a new methodology to represent the results of the
robust ordinal regression approach by means of a family of representative value
functions for which, taken two alternatives $a$ and $b$, the following two
conditions are satisfied: 1) if for all compatible value functions $a$ is
evaluated not worse than $b$ and for at least one value function $a$ has a
better evaluation, then the evaluation of $a$ is greater than the evaluation of
$b$ for all representative value functions; 2) if there exists one compatible
value function giving $a$ an evaluation greater than $b$ and another compatible
value function giving $a$ an evaluation smaller than $b$, then there are also
at least one representative function giving a better evaluation to $a$ and
another representative value function giving $a$ an evaluation smaller than
$b$. This family of representative value functions intends to provide the
Decision Maker (DM) a more clear idea of the preferences obtained by the
compatible value functions, with the aim to support the discussion in
constructive approach of Multiple Criteria Decision Aiding.

6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat