Higher order probability and intervals
International Journal of Approximate Reasoning
Handbook of logic in artificial intelligence and logic programming (vol. 3)
Supremum preserving upper probabilities
Information Sciences: an International Journal
A behavioral model for linguistic uncertainty
Information Sciences—Informatics and Computer Science: An International Journal - Special issue computing with words
Fuzzy Measure Theory
Integration and Conditioning in Numerical Possibility Theory
Annals of Mathematics and Artificial Intelligence
Belief models: An order-theoretic investigation
Annals of Mathematics and Artificial Intelligence
A random set description of a possibility measure and its natural extension
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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Fuzzy Sets and Systems
Joint propagation of probability and possibility in risk analysis: Towards a formal framework
International Journal of Approximate Reasoning
Higher order models for fuzzy random variables
Fuzzy Sets and Systems
Optimal selection of the service rate for a finite input source fuzzy queuing system
Fuzzy Sets and Systems
Representing parametric probabilistic models tainted with imprecision
Fuzzy Sets and Systems
Unifying practical uncertainty representations -- I: Generalized p-boxes
International Journal of Approximate Reasoning
Generalized theory of uncertainty (GTU)-principal concepts and ideas
Computational Statistics & Data Analysis
Possibility theory and statistical reasoning
Computational Statistics & Data Analysis
Discussion: Further thoughts on possibilistic previsions: A rejoinder
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Upper and lower probabilities induced by a fuzzy random variable
Fuzzy Sets and Systems
Upper and lower probabilities induced by a fuzzy random variable
Fuzzy Sets and Systems
Cumulative distribution functions, p-boxes and decisions under risk
International Journal of Knowledge Engineering and Soft Data Paradigms
Imprecise set and fuzzy valued probability
Journal of Computational and Applied Mathematics
Multi-agents and non-classical logic systems
IUKM'11 Proceedings of the 2011 international conference on Integrated uncertainty in knowledge modelling and decision making
On the confidence preferences model
Fuzzy Sets and Systems
Centrality as a gradual notion: A new bridge between fuzzy sets and statistics
International Journal of Approximate Reasoning
Fuzzy logic-based generalized decision theory with imperfect information
Information Sciences: an International Journal
Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
Fuzzy Sets and Systems
Constrained optimization problems under uncertainty with coherent lower previsions
Fuzzy Sets and Systems
Weighted regret-based likelihood: a new approach to describing uncertainty
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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I present an hierarchical uncertainty model that is able to represent vague probability assessments, and to make inferences based on them. This model can be given an interpretation in terms of the behaviour of a modeller in the face of uncertainty, and is based on Walley's theory of imprecise probabilities. It is formally closely related to Zadeh's fuzzy probabilities, but it has a different interpretation, and a different calculus. Through rationality (coherence) arguments, the hierarchical model is shown to lead to an imprecise first-order uncertainty model that can be used in decision making, and as a prior in statistical reasoning.