The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
Higher order probability and intervals
International Journal of Approximate Reasoning
Graded sets and points: a stratified approach to fuzzy sets and points
Fuzzy Sets and Systems
The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Supremum preserving upper probabilities
Information Sciences: an International Journal
The necessity of the strong &agr;-cuts of a fuzzy set
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Relationships between possibility measures and nested random sets
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Imprecise distribution function associated to a random set
Information Sciences—Informatics and Computer Science: An International Journal
A random set characterization of possibility measures
Information Sciences—Informatics and Computer Science: An International Journal
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
International Journal of Approximate Reasoning
Genetic learning of fuzzy rules based on low quality data
Fuzzy Sets and Systems
Upper Probabilities Attainable by Distributions of Measurable Selections
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Taximeter verification with GPS and soft computing techniques
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Testing statistical hypotheses with vague data
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
Random intervals as a model for imprecise information
Fuzzy Sets and Systems
Approximations of upper and lower probabilities by measurable selections
Information Sciences: an International Journal
On the variability of the concept of variance for fuzzy random variables
IEEE Transactions on Fuzzy Systems
Diagnosis of dyslexia with low quality data with genetic fuzzy systems
International Journal of Approximate Reasoning
Mark-recapture techniques in statistical tests for imprecise data
International Journal of Approximate Reasoning
Induction of fuzzy-rule-based classifiers with evolutionary boosting algorithms
IEEE Transactions on Fuzzy Systems
Advocating the Use of Imprecisely Observed Data in Genetic Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Fuzzy set-valued stochastic Lebesgue integral
Fuzzy Sets and Systems
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We review two existing interpretations of fuzzy random variables. In the first one, the fuzzy random variable is viewed as a linguistic random variable. In the second case, it represents some incomplete knowledge about an otherwise standard random variable. For each interpretation, the information provided by the frv is described by a specific model, namely a standard probability model and a second-order imprecise model, respectively. In this paper, we deal with an alternative interpretation. Guided by simple examples we will observe the usefulness of each interpretation when applied to particular situations. Then we will demonstrate that the new interpretation leads, in a natural way, to the pair of order ~ capacities. Furthermore, we show that they are formally related to the former models. These results can be applied in future works to make inferences from fuzzy sample data. The use of upper-lower models instead of second-order models will enable us in the future to reach crisp decisions in some specific statistical problems, without adding any arbitrary information, and taking into account the imprecision in data.