The fuzzy decision problem: An approach to the problem of testing statistical hypotheses with fuzzy information. (English) Zbl 0605.62018

Casals, M. R.; Gil, M. A.; Gil, P.

Eur. J. Oper. Res. 27, 371-382 (1986).

The authors introduce a method for using fuzzy information in the testing of statistical hypotheses. They adopt a decision theoretic approach. As indicated by the authors, the fuzziness appears only in the initial data whereas the final decision is crisp.
Two decision procedures, the Bayesian and the minimax, are treated in detail and elucidated by examples.

Reviewer: O.Kaleva

MSC:

62F03	Parametric hypothesis testing
62C99	Statistical decision theory
03E72	Theory of fuzzy sets, etc.

Keywords:

risk function; fuzzy decision problem; Bayes fuzzy test; minimax fuzzy test; fuzzy information

References:

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