Testing fuzzy hypotheses based on vague observations: a p-value approach

Statistical Papers volume 53, pages469–484(2012)Cite this article

Abstract

This paper deals with the problem of testing statistical hypotheses when both the hypotheses and data are fuzzy. To this end, we first introduce the concept of fuzzy p-value and then develop an approach for testing fuzzy hypotheses by comparing a fuzzy p-value and a fuzzy significance level. Numerical examples are provided to illustrate the approach for different cases.

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Author information

Affiliations

  1. Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran

    Abbas Parchami & Mashaallah Mashinchi

  2. Department of Mathematical Sciences, Isfahan University of Technology (IUT), Isfahan, 84156-83111, Iran

    S. Mahmoud Taheri

Authors
  1. Abbas Parchami
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  2. S. Mahmoud Taheri
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  3. Mashaallah Mashinchi
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Corresponding author

Correspondence to S. Mahmoud Taheri.

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Parchami, A., Taheri, S.M. & Mashinchi, M. Testing fuzzy hypotheses based on vague observations: a p-value approach. Stat Papers 53, 469–484 (2012). https://doi.org/10.1007/s00362-010-0353-2

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Keywords

  • Testing hypothesis
  • Vague data
  • Fuzzy p-value
  • Fuzzy significance level

Mathematics Subject Classification (2000)

  • Primary: 62F03
  • Secondary: 03E72