Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information efficient learning of complexly structured preferences:
  Elicitation procedures and their application to decision making under
  uncertainty   In this paper we propose efficient methods for elicitation of complexly
structured preferences and utilize these in problems of decision making under
(severe) uncertainty. Based on the general framework introduced in Jansen,
Schollmeyer and Augustin (2018, Int. J. Approx. Reason), we now design
elicitation procedures and algorithms that enable decision makers to reveal
their underlying preference system (i.e. two relations, one encoding the
ordinal, the other the cardinal part of the preferences) while having to answer
as few as possible simple ranking questions. Here, two different approaches are
followed. The first approach directly utilizes the collected ranking data for
obtaining the ordinal part of the preferences, while their cardinal part is
constructed implicitly by measuring meta data on the decision maker's
consideration times. In contrast, the second approach explicitly elicits also
the cardinal part of the decision maker's preference system, however, only an
approximate version of it. This approximation is obtained by additionally
collecting labels of preference strength during the elicitation procedure. For
both approaches, we give conditions under which they produce the decision
maker's true preference system and investigate how their efficiency can be
improved. For the latter purpose, besides data-free approaches, we also discuss
ways for effectively guiding the elicitation procedure if data from previous
elicitation rounds is available. Finally, we demonstrate how the proposed
elicitation methods can be utilized in problems of decision under (severe)
uncertainty. Precisely, we show that under certain conditions optimal decisions
can be found without fully specifying the preference system.

29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th