Uniqueness of information measure in the theory of evidence
Fuzzy Sets and Systems - Special Issue: Measures of Uncertainty
On the uniqueness of possibilistic measure of uncertainty and information
Fuzzy Sets and Systems - Special Issue: Measures of Uncertainty
Uncertainty-Based Information: Elements of Generalized Information Theory
Uncertainty-Based Information: Elements of Generalized Information Theory
On Measuring Uncertainty and Uncertainty-Based Information: Recent Developments
Annals of Mathematics and Artificial Intelligence
Maximum of entropy for credal sets
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Uncertainty and Information: Foundations of Generalized Information Theory
Uncertainty and Information: Foundations of Generalized Information Theory
Independence concepts for convex sets of probabilities
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Toward a characterization of uncertainty measure for the dempster-shafer theory
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Constructing and evaluating alternative frames of discernment
International Journal of Approximate Reasoning
Generalized information theory for hints
International Journal of Approximate Reasoning
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The aim of this paper is to formalize, within a broad range of theories of imprecise probabilities, the notion of a total, aggregate measure of uncertainty and its various disaggregations into measures of nonspecificity and conflict. As a framework for facilitating this aim, we introduce a system of well-justified axiomatic requirements for such measures. It is shown that these requirements can be equivalently defined for belief functions and credal sets. Some important consequences are then derived within this framework, which clarify the role of various uncertainty measures proposed in the literature. Moreover, some well-defined new open problems for future research also emerge from the introduced framework.