Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Belief functions induced by random fuzzy sets: A general framework for
  representing uncertain and fuzzy evidence   We revisit Zadeh's notion of "evidence of the second kind" and show that it
provides the foundation for a general theory of epistemic random fuzzy sets,
which generalizes both the Dempster-Shafer theory of belief functions and
possibility theory. In this perspective, Dempster-Shafer theory deals with
belief functions generated by random sets, while possibility theory deals with
belief functions induced by fuzzy sets. The more general theory allows us to
represent and combine evidence that is both uncertain and fuzzy. We demonstrate
the application of this formalism to statistical inference, and show that it
makes it possible to reconcile the possibilistic interpretation of likelihood
with Bayesian inference.

35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin