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Fuzzy decision in testing hypotheses by fuzzy data: Two case studies | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 17، شماره 5، آذر و دی 2020، صفحه 127-136 اصل مقاله (245.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5520 | ||
| نویسنده | ||
| A. Parchami* | ||
| Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In testing hypotheses, we may confront with cases where data are recorded as non-precise (fuzzy) rather than crisp. In such situations, the classical methods of testing hypotheses are not capable and need to be generalized. In solving the problem of testing hypotheses based on fuzzy data, the fuzziness of the observed data leads to the fuzzy p-value. This paper has been focused to calculate fuzzy p-value based on fuzzy data using the extension principle. Also, considering that p-value method is the most widely used / popular approach for testing hypotheses among different sciences users, two fuzzy $p$-value-based case studies have been provided in this paper. The first case study is discussed on ″the fuzzy data from a speedometer camera" and the second is deliberate about ″the lifetime of produced batteries in a factory" and both of them have been solved by a novel approach considering other studies found in the literature. | ||
| کلیدواژه‌ها | ||
| Testing hypotheses؛ fuzzy decision؛ fuzzy p-value؛ extension principle؛ fuzzy significance level؛ fuzzy data | ||
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آمار تعداد مشاهده مقاله: 450 تعداد دریافت فایل اصل مقاله: 419 |
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