A new approach for testing fuzzy hypotheses based on likelihood ratio statistic

Shima Yosefi (), Mohsen Arefi () and Mohammad Ghasem Akbari ()
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Shima Yosefi: University of Birjand
Mohsen Arefi: University of Birjand
Mohammad Ghasem Akbari: University of Birjand

Statistical Papers, 2016, vol. 57, issue 3, No 6, 665-688

Abstract: Abstract In this paper, a new approach for testing fuzzy hypotheses based on likelihood ratio test statistic is presented. In this approach, we first formulate the hypotheses of interest by fuzzy sets, and then, a likelihood ratio statistic is defined based on the $$\delta $$ δ -cut of null fuzzy hypothesis. Also, in order to establish critical region, we give new definitions for the probabilities of type I and type II errors.

Keywords: Fuzzy hypotheses; Fuzzy set; Likelihood ratio test; Probability of type I error; Probability of type II error; 62F03; 62F86 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00362-015-0673-3

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