Fuzzy sets and statistical data.

*(English)*Zbl 0588.62002Specific 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 |

##### Keywords:

semantical aspects; weak possibilistic substitutes of probability measures; imprecise statistical data; fuzzy sets
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\textit{D. Dubois} and \textit{H. Prade}, Eur. J. Oper. Res. 25, 345--356 (1986; Zbl 0588.62002)

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