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Sequential Test of Fuzzy Hypotheses

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DOI: 10.4236/ojs.2011.12010    4,197 Downloads   7,855 Views   Citations


In testing statistical hypotheses, as in other statistical problems, we may be confronted with fuzzy concepts. This paper deals with the problem of testing hypotheses, when the hypotheses are fuzzy and the data are crisp. We first give new definitions for notion of mass (density) probability function with fuzzy parameter, probability of type I and type II errors and then state and prove the sequential probability ratio test, on the basis of these new errors, for testing fuzzy hypotheses. Numerical examples are also provided to illustrate the approach.

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The authors declare no conflicts of interest.

Cite this paper

M. Akbari, "Sequential Test of Fuzzy Hypotheses," Open Journal of Statistics, Vol. 1 No. 2, 2011, pp. 87-92. doi: 10.4236/ojs.2011.12010.


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