Reformulating decision theory using fuzzy set theory and Shafer's theory of evidence.

DOI10.1016/S0165-0114(02)00515-8zbMath1055.91009MaRDI QIDQ1413851

Robert F. Bordley

Publication date: 17 November 2003

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

Quantum physicsPossibility theoryPsychometry and measurementNon-additive measure

Mathematics Subject Classification ID

Decision theory (91B06) Theory of fuzzy sets, etc. (03E72)

Related Items (3)

A new framework for the Bayesian analysis of single-stage decision problems with imprecise utilities ⋮ Evidence-theory-based numerical characterization of multigranulation rough sets in incomplete information systems ⋮ Decision making under uncertainty with fuzzy targets

Cites Work

• Preference relations on a set of fuzzy utilities as a basis for decision making
• Decision-making with a fuzzy preference relation
• Fuzzy sets and probability
• Fuzzy sets and decision analysis
• Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences
• Expected utility without utility
• Modeling unforeseen events with similarity templates changes Bayesian probabilities into pignistic probabilities
• Savage revisited (with discussion)
• Relating probability amplitude mechanics to standard statistical models
• Experiment-dependent priors in psychology and physics
• A Belief-Based Account of Decision Under Uncertainty
• Subjective Probability and Expected Utility without Additivity
• The Future of Statistics: A Bayesian 21st Century
• Prospect Theory: An Analysis of Decision under Risk
• The Predictive Utility of Generalized Expected Utility Theories
• Operational Statistics. I. Basic Concepts
• Quantum Probability Spaces
• Decision-theoretic foundations of qualitative possibility theory
• Decision analysis using targets instead of utility functions.
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