Concepts for decision making under severe uncertainty with partial ordinal and partial cardinal preferences
type: Item
instance of: scholarly article
title: Concepts for decision making under severe uncertainty with partial ordinal and partial cardinal preferences
zbMATH Open document ID: 1451.91040
author: Y. Aharonov
published in: International Journal of Approximate Reasoning
publication date: 2018-06-22T00:00:00Z
full work available at URL: https://epub.ub.uni-muenchen.de/43315/
review text: The authors introduce three different approaches for decision making under uncertainty if (i) there is only partial (both cardinally and ordinally scaled) information on an agent's preferences and (ii) the uncertainty about the states of nature is described by a credal set (or some other imprecise probabilistic model). They: (1) Rely on decision criteria constructing complete rankings of the available acts that are based on generalized expectation intervals; (2) Introduce different concepts of global admissibility that construct partial orders between the available acts by comparing them all simultaneously; (3) Define criteria induced by suitable binary relations on the set of acts and, therefore, can be understood as concepts of local admissibility; (4) Provide linear programming based algorithms for checking optimality/admissibility of acts; (5) Include a discussion of a prototypical situation by means of a toy example.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6893199
zbMATH Keywords: partial preferences
zbMATH Keywords: ordinality and cardinality
zbMATH Keywords: utility representation
zbMATH Keywords: imprecise probabilities
zbMATH Keywords: stochastic dominance
zbMATH Keywords: linear programming
reviewed by: George Stoica
MaRDI profile type: Publication
OpenAlex ID: W2801801856
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Wikidata QID: Q129915106
DOI: 10.1016/J.IJAR.2018.04.011
description: scientific article; zbMATH DE number 6893199