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Fuzzy sets and statistical data. (English) Zbl 0588.62002
Specific features of probability and possibility theories are discussed with emphasis on semantical aspects. Instead of putting forward the acknowledged usefulness of possibility theory for the non-statistical modelling of subjective categories, we try to figure out how statistical data and possibility theory could be matched. As a result, procedures for constructing weak possibilistic substitutes of probability measures, and for processing imprecise statistical data are outlined. They provide new insights on the relationship between fuzzy sets and probability theories.

MSC:
62A01 Foundations and philosophical topics in statistics
60A99 Foundations of probability theory
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