Buckley�s approach (Buckley (2004), (2005), (2006)) uses sets of confidence intervals by taking into consideration both of the\nuncertainty and impreciseness of concepts that produce triangular shaped fuzzy numbers for the estimator. This approach produces\nfuzzy test statistics and fuzzy critical values in hypothesis testing. In addition, the sample size is fixed for this test.When data comes\nsequentially, however, it is not suitable to study with a fixed sample size test. In such cases, sequential and group sequential tests are\nrecommended. Unlike a sequential test, a group of sequential test provides substantial savings in sample and enables us to make\ndecisions as early as possible. This intends paper to combine the benefits of group sequential test and Buckley�s approach using\na-cuts. It attempts to show that using ??-cuts can be used within the group sequential tests. To illustrate the test more explicitly a\nnumerical example is also given.
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