Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivative of functions over lattices as a basis for the notion of
  interaction between attributes   The paper proposes a general notion of interaction between attributes, which
can be applied to many fields in decision making and data analysis. It
generalizes the notion of interaction defined for criteria modelled by
capacities, by considering functions defined on lattices. For a given problem,
the lattice contains for each attribute the partially ordered set of remarkable
points or levels. The interaction is based on the notion of derivative of a
function defined on a lattice, and appears as a generalization of the Shapley
value or other probabilistic values.

5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th