On the variance of fuzzy random variables
Fuzzy Sets and Systems
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
The variance and covariance of fuzzy random variables and their applications
Fuzzy Sets and Systems
Imprecise distribution function associated to a random set
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
Nonparametric rank-based statistics and significance tests for fuzzy data
Fuzzy Sets and Systems
Random intervals as a model for imprecise information
Fuzzy Sets and Systems
Partial identification with missing data: concepts and findings
International Journal of Approximate Reasoning
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
Independence concepts in evidence theory
International Journal of Approximate Reasoning
Diagnosis of dyslexia with low quality data with genetic fuzzy systems
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
Inner and outer fuzzy approximations of confidence intervals
Fuzzy Sets and 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
Linguistic cost-sensitive learning of genetic fuzzy classifiers for imprecise data
International Journal of Approximate Reasoning
Inner and outer fuzzy approximations of confidence intervals
Fuzzy Sets and Systems
Journal of Computer and System Sciences
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We aim to construct suitable tests when we have imprecise information about a sample. More specifically, we assume that we get a collection of n sets of values, each one characterizing an imprecise measurement. Each set specifies where the true sample value is (and where it is not) with full confidence, but it does not provide any additional information. Our main objectives are twofold: first we will review different kinds of tests in the literature about inferential statistics with random sets and discuss the approach that best suits our definition of imprecise data. Secondly, we will show that we can take advantage from mark and recapture techniques to improve the accuracy of our decisions. These techniques will be specially important when the population is small enough (with respect to the sample size) that recaptures are common. They also seem to be useful when resampling techniques are involved in the decision process.