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

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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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Authors and 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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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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  • DOI: https://doi.org/10.1007/s00362-010-0353-2

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