Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Testing Hypothesis of the Mean of Normal Fuzzy Random Variables Based on $p$-Value

Document Type : Original Article

Author
Jalal Chachi
10.22034/jfsa.2025.526538.1277
Abstract
In this paper, a new method for testing fuzzy hypotheses based on fuzzy random variables is presented. This method is based on testing hypotheses that are generated based on $-h$-level sets of fuzzy parameter.
These hypotheses are tested at the level of $\alpha$ based on data obtained from the $-h$ fuzzy random variable observations. The method of testing hypotheses is based on comparing the $p$-value of each test with the level of $\alpha$. Then, by introducing a criterion,, a fuzzy test function is constructed for these hypotheses, which is itself a fuzzy set. Finally, we will test the relevant hypotheses. We will examine the method presented in this paper by providing an example.
Keywords
Fuzzy random variables
Normal fuzzy random variables
Fuzzy parameter
P-value
Subjects
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Fuzzy Systems and its Applications
Volume 8, Issue 1 - Serial Number 16
Open Access Statement
June 2025
Pages 247-263

  • Receive Date 27 May 2025
  • Revise Date 31 July 2025
  • Accept Date 13 September 2025