A fuzzy set theoretic approach to signal detection

A reformulation of the generalized Neyman-Pearson lemma is attempted using the fuzzy set theory. Based on the result, a locally optimum (or locally most powerful) fuzzy test is defined and the locally optimum fuzzy test function is derived. As a practical application of the locally optimum fuzzy test, detection of weak deterministic signals corrupted by purely additive noise, which is an important problem in statistical signal processing, is considered. Comparisons between the locally optimum and the locally optimum fuzzy tests are also made. >