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Statistical Methods for Fuzzy Data by Reinhard Viertl

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4.2 Maximum of fuzzy data

Under the same conditions as in Section 4.1 the maximum of n fuzzy intervals x1*,…xn* is the fuzzy interval xmax* = max{x1*,…xn*} whose δ-cuts Cδ(xmax*) are defined by

Unnumbered Display Equation

Remark 4.1:

The minimum as well as maximum of fuzzy intervals reduce to the classical minimum and maximum for classical samples x1,…,xn.

Examples are given in Section 4.4.

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