Belief structures, possibility theory and decomposable confidence measures on finite sets
Computers and Artificial Intelligence
Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
On the concept of possibility-probability consistency
Fuzzy Sets and Systems
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
Are grades of membership probabilities?
Fuzzy Sets and Systems - Interpretations of Grades on Membership
Single value simulation of fuzzy variables
Fuzzy Sets and Systems
Consonant approximation of belief functions
International Journal of Approximate Reasoning
Random sets and fuzzy interval analysis
Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy sets
The expected value of a fuzzy number
Fuzzy Sets and Systems
When upper probabilities are possibility measures
Fuzzy Sets and Systems - Special issue dedicated to Professor Claude Ponsard
On the specificity of a possibility distribution
Fuzzy Sets and Systems
On the issue of defuzzification and selection based on a fuzzy set
Fuzzy Sets and Systems
Artificial Intelligence
Measures of uncertainty in expert systems
Artificial Intelligence
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
Nonmonotonic reasoning, conditional objects and possibility theory
Artificial Intelligence
Representation and application of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
On the variance of fuzzy random variables
Fuzzy Sets and Systems
Bayesian conditioning in possibility theory
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Conditioning in possibility theory with strict order norms
Fuzzy Sets and Systems
Supremum preserving upper probabilities
Information Sciences: an International Journal
Defuzzification: criteria and classification
Fuzzy Sets and Systems
Revision of possibility distributions: a Bayesian inference pattern
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
A behavioral model for linguistic uncertainty
Information Sciences—Informatics and Computer Science: An International Journal - Special issue computing with words
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Computing variance for interval data is NP-hard
ACM SIGACT News
Integration and Conditioning in Numerical Possibility Theory
Annals of Mathematics and Artificial Intelligence
Learning from imprecise data: possibilistic graphical models
Computational Statistics & Data Analysis - Nonlinear methods and data mining
A New Approach to Semantic Aspects of Possibilistic Reasoning
ECSQARU '93 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Constructing the Pignistic Probability Function in a Context of Uncertainty
UAI '89 Proceedings of the Fifth Annual Conference on Uncertainty in Artificial Intelligence
Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data
Computational Statistics & Data Analysis
ISUMA '95 Proceedings of the 3rd International Symposium on Uncertainty Modelling and Analysis
On weighted possibilistic mean and variance of fuzzy numbers
Fuzzy Sets and Systems - Theme: Basic concepts
Testing the descriptive validity of possibility theory in human judgments of uncertainty
Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
Uncertainty and Information: Foundations of Generalized Information Theory
Uncertainty and Information: Foundations of Generalized Information Theory
Unfair coins and necessity measures: Towards a possibilistic interpretation of histograms
Fuzzy Sets and Systems
Nonparametric rank-based statistics and significance tests for fuzzy data
Fuzzy Sets and Systems
A behavioural model for vague probability assessments
Fuzzy Sets and Systems
A notion of comparative probabilistic entropy based on the possibilistic specificity ordering
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Representing partial ignorance
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Fuzzy Sets and Systems
On the granularity of summative kernels
Fuzzy Sets and Systems
Conflict Analysis and Merging Operators Selection in Possibility Theory
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Fuzzy Sets and Systems
Integrated Likelihood in a Finitely Additive Setting
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
The fuzzy approach to statistical analysis
Computational Statistics & Data Analysis
Approaches to Uncertain or Imprecise Rules - A Survey
RuleML '09 Proceedings of the 2009 International Symposium on Rule Interchange and Applications
Possibilistic mean value and variance of fuzzy numbers: some examples of application
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Imprecise expectations for imprecise linear filtering
International Journal of Approximate Reasoning
User preferences discovery using fuzzy models
Fuzzy Sets and Systems
Mining fuzzy association rules from uncertain data
Knowledge and Information Systems
Possibilistic signal processing: How to handle noise?
International Journal of Approximate Reasoning
An improved index of interactivity for fuzzy numbers
Fuzzy Sets and Systems
An improved index of interactivity for fuzzy numbers
Fuzzy Sets and Systems
The role of epistemic uncertainty in risk analysis
SUM'10 Proceedings of the 4th international conference on Scalable uncertainty management
Kriging with Ill-known variogram and data
SUM'10 Proceedings of the 4th international conference on Scalable uncertainty management
On possibilistic correlation coefficient and ratio for fuzzy numbers
AIKED'11 Proceedings of the 10th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
Rainbow of computer science
Computers and Industrial Engineering
Imprecise regression based on possibilistic likelihood
SUM'11 Proceedings of the 5th international conference on Scalable uncertainty management
An experience-based system supporting inventory planning: A fuzzy approach
Expert Systems with Applications: An International Journal
On informational coefficient of correlation for possibility distributions
AIKED'12 Proceedings of the 11th WSEAS international conference on Artificial Intelligence, Knowledge Engineering and Data Bases
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
Inference in possibilistic network classifiers under uncertain observations
Annals of Mathematics and Artificial Intelligence
SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
On the connection between probability boxes and possibility measures
Information Sciences: an International Journal
MICAI'12 Proceedings of the 11th Mexican international conference on Advances in Artificial Intelligence - Volume Part I
Inferential processes leading to possibility and necessity
Information Sciences: an International Journal
Information Sciences: an International Journal
A novel evidence based model for detecting dangerous situations in level crossing environments
Expert Systems with Applications: An International Journal
Interval type-2 fuzzy logic for encoding clinical practice guidelines
Knowledge-Based Systems
International Journal of Approximate Reasoning
Stochastic dominance with imprecise information
Computational Statistics & Data Analysis
Naive possibilistic classifiers for imprecise or uncertain numerical data
Fuzzy Sets and Systems
A novel semantic quantitative description method based on possibilistic logic
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Numerical possibility distributions can encode special convex families of probability measures. The connection between possibility theory and probability theory is potentially fruitful in the scope of statistical reasoning when uncertainty due to variability of observations should be distinguished from uncertainty due to incomplete information. This paper proposes an overview of numerical possibility theory. Its aim is to show that some notions in statistics are naturally interpreted in the language of this theory. First, probabilistic inequalites (like Chebychev's) offer a natural setting for devising possibility distributions from poor probabilistic information. Moreover, likelihood functions obey the laws of possibility theory when no prior probability is available. Possibility distributions also generalize the notion of confidence or prediction intervals, shedding some light on the role of the mode of asymmetric probability densities in the derivation of maximally informative interval substitutes of probabilistic information. Finally, the simulation of fuzzy sets comes down to selecting a probabilistic representation of a possibility distribution, which coincides with the Shapley value of the corresponding consonant capacity. This selection process is in agreement with Laplace indifference principle and is closely connected with the mean interval of a fuzzy interval. It sheds light on the ''defuzzification'' process in fuzzy set theory and provides a natural definition of a subjective possibility distribution that sticks to the Bayesian framework of exchangeable bets. Potential applications to risk assessment are pointed out.