TITLE:
Sequential Test of Fuzzy Hypotheses
AUTHORS:
Mohammad Ghasem Akbari
KEYWORDS:
Canonical Fuzzy Number, Fuzzy Hypotheses, Type I and II Error Sizes, Sequential
Probability Ratio Test
JOURNAL NAME:
Open Journal of Statistics,
Vol.1 No.2,
August
1,
2011
ABSTRACT: 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.