Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distance function of D numbers   Dempster-Shafer theory is widely applied in uncertainty modelling and
knowledge reasoning due to its ability of expressing uncertain information. A
distance between two basic probability assignments(BPAs) presents a measure of
performance for identification algorithms based on the evidential theory of
Dempster-Shafer. However, some conditions lead to limitations in practical
application for Dempster-Shafer theory, such as exclusiveness hypothesis and
completeness constraint. To overcome these shortcomings, a novel theory called
D numbers theory is proposed. A distance function of D numbers is proposed to
measure the distance between two D numbers. The distance function of D numbers
is an generalization of distance between two BPAs, which inherits the advantage
of Dempster-Shafer theory and strengthens the capability of uncertainty
modeling. An illustrative case is provided to demonstrate the effectiveness of
the proposed function.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math