Title | Defuzzification of Fuzzy p-Values |
Publication Type | Conference Paper |
Year of Publication | 2008 |
Authors | Couso, Inés, and Sánchez Luciano |
Editor | Dubois, Didier, M. Lubiano Asunción, Prade Henri, Gil María Ángeles, Grzegorzewski Przemysław, and Hryniewicz Olgierd |
Conference Name | Soft Methods for Handling Variability and Imprecision |
Pagination | 126–132 |
Publisher | Springer Berlin Heidelberg |
Conference Location | Berlin, Heidelberg |
ISBN Number | 978-3-540-85027-4 |
Abstract | We provide a new description of the notion of fuzzy p-value, within the context of the theory of imprecise probabilities. The fuzzy p-value is viewed as a representation of a certain second-order possibility measure. According to Walley, any second-order possibility measure can be converted into a pair of lower and upper probabilities. Thus, we can convert the fuzzy p-value into an interval in the real line. We derive a construction of imprecise (but non fuzzy) tests, which are formally similar to recent tests used to manage with set-valued data. |