Abstract
In hypotheses testing, such as other statistical problems, we may confront with imprecise concepts. One case is a situation in which both hypotheses and observations are imprecise. In this paper, using fuzzy set theory for formulation of imprecise hypotheses and observations, we analyze mentioned problem on the basis of a Bayesian method.
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References
Berger J. O.:Statistical Decision Theory and Bayesian Analysis. Springer-Verlag (1993).
Casals M. R., Gil M. R. and Gil P.:On the use of Zadeh’s probabilistic definition for testing statistical hypotheses from fuzzy information. Fuzzy Sets and Systems 20 (1986) 175–190.
Casals M. R.:Bayesian testing of fuzzy parametric hypotheses from fuzzy information. RAIRO, Operations Research 27 (1993) 189–199.
Kruse R. and Meyer K. D.: Statistics with Vague Data. Reidal Publ. Netherlands (1987).
Taheri S. M. and Behboodian J.:Neyman-Pearson Lemma for fuzzy hypotheses testing. Metrika 49 (1999) 3–17.
Taheri S. M. and Behboodian J.:A Bayesian approach to fuzzy hypotheses testing. Fuzzy Sets and Systems, (2001) To appeare.
Zadeh L. A.:Probability measures of fuzzy events. J. Math. Anal. Appl. 23 (1968) 421–427.
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Taheri, S.M., Behboodian, J. (2002). Fuzzy Hypotheses Testing with Fuzzy Data: A Bayesian Approach. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_73
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DOI: https://doi.org/10.1007/3-540-45631-7_73
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