Decision Making with Ordinal Payoffs Under Dempster-Shafer Type Uncertainty
- 29 July 2013
- journal article
- research article
- Published by Hindawi Limited in International Journal of Intelligent Systems
- Vol. 28 (11), 1039-1053
- https://doi.org/10.1002/int.21615
Abstract
Our focus is on decision making in uncertain environments. We first introduce the Dempster–Shafer framework to model the uncertainty associated with possible outcomes. We then describe an approach for decision making when our uncertainty is captured using the Dempster–Shafer model and where the payoffs are numeric values. An important part of this approach is the role of the decision attitude as well as the aggregation of the possible payoffs. We then look at the situation where the payoffs, rather than being numbers, are values drawn from an ordinal scale. This requires us to provide appropriate operations for combining payoffs drawn from an ordinal scale.Keywords
This publication has 25 references indexed in Scilit:
- Extending stochastic ordering to belief functions on the real lineInformation Sciences, 2009
- Formal Representations of UncertaintyPublished by Wiley ,2009
- The Dempster–Shafer calculus for statisticiansInternational Journal of Approximate Reasoning, 2008
- Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidenceArtificial Intelligence, 2007
- On the cardinality index and attitudinal character of fuzzy measuresInternational Journal of General Systems, 2002
- Including importances in OWA aggregations using fuzzy systems modelingIEEE Transactions on Fuzzy Systems, 1998
- The transferable belief modelArtificial Intelligence, 1994
- DECISION MAKING UNDER DEMPSTER-SHAFER UNCERTAINTIESInternational Journal of General Systems, 1992
- On ordered weighted averaging aggregation operators in multicriteria decisionmakingIEEE Transactions on Systems, Man, and Cybernetics, 1988
- Statistical Decision Functions Which Minimize the Maximum RiskAnnals of Mathematics, 1945