Constructing membership functions using statistical data
Fuzzy Sets and Systems
On the concept of possibility-probability consistency
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Consonant Belief Function Induced by a Confidence Set of Pignistic Probabilities
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Possibility theory and statistical reasoning
Computational Statistics & Data Analysis
Inferring a possibility distribution from empirical data
Fuzzy Sets and Systems
Naive possibilistic classifiers for imprecise or uncertain numerical data
Fuzzy Sets and Systems
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For a given sample set, there are already different methods for building possibility distributions encoding the family of probability distributions that may have generated the sample set. Almost all the existing methods are based on parametric and distribution free confidence bands. In this work, we introduce some new possibility distributions which encode different kinds of uncertainties not treated before. Our possibility distributions encode statistical tolerance and prediction intervals (regions). We also propose a possibility distribution encoding the confidence band of the normal distribution which improves the existing one for all sample sizes. In this work we keep the idea of building possibility distributions based on intervals which are among the smallest intervals for small sample sizes. We also discuss the properties of the mentioned possibility distributions.