Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of the row geometric mean ranking with a group
  consensus axiom   An axiomatic approach is applied to the problem of extracting a ranking of
the alternatives from a pairwise comparison ratio matrix. The ordering induced
by row geometric mean method is proved to be uniquely determined by three
independent axioms, anonymity (independence of the labelling of alternatives),
responsiveness (a kind of monotonicity property) and aggregation invariance,
which requires the preservation of group consensus, that is, the pairwise
ranking between two alternatives should remain unchanged if unanimous
individual preferences are combined by geometric mean.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph