A class of reject-first possibilistic classifiers

The authors address the problem of defining a general class of reject-first possibilistic classifiers. It relies on fuzzy XOR operators based on dual triples (t-norm, t-conorm, complement). Such a classifier operates in two sequential steps. It starts with testing for exclusive classification by thresholding the fuzzy XOR combination of membership degrees to the different classes. If the pattern has to be rejected, the classifier continues by testing for the kind of rejection encountered (i.e. ambiguity or distance) using another threshold on the fuzzy OR combination