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Testing statistical hypotheses in fuzzy environment. (English) Zbl 0893.68139
Summary: In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially while dealing with linguistic data or imprecise requirements. To relax this rigidity fuzzy methods are incorporated into statistics. We review hitherto existing achievements in testing statistical hypotheses in fuzzy environment, point out their advantages or disadvantages and practical problems. We propose also a formalization of that decision problem and indicate the directions of further investigations in order to construct a more general theory.

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
fuzzy methods
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