Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information fractal dimension of mass function   Fractal plays an important role in nonlinear science. The most important
parameter to model fractal is fractal dimension. Existing information dimension
can calculate the dimension of probability distribution. However, given a mass
function which is the generalization of probability distribution, how to
determine its fractal dimension is still an open problem of immense interest.
The main contribution of this work is to propose an information fractal
dimension of mass function. Numerical examples are illustrated to show the
effectiveness of our proposed dimension. We discover an important property in
that the dimension of mass function with the maximum Deng entropy is
$\frac{ln3}{ln2}\approx 1.585$, which is the well-known fractal dimension of
Sierpi\'nski triangle.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom