In description logics, default knowledge is exclusively treated as inc
idental rules. However, as few concepts are definable using only stric
t knowledge, imposing strict definitions leads to terminological knowl
edge bases that mostly contain partially defined concepts. This is a r
eal problem because such concepts can only be inserted as leaves of th
e terminology. Moreover, instance recognition is biased as these conce
pts must be explicitly mentioned as properties of these instances. It
follows that partially defined concepts are described with necessary b
ut not sufficient conditions. As a solution to these problems, we prop
ose to integrate defaults in concept definitions and we argue that thi
s is essential for our diagnosis application. We introduce a descripti
on language AL(delta epsilon) with default(delta) and exception(epsilo
n) connectives. The cornerstone of our approach is the introduction of
a definitional point of view where a default can be part of a concept
definition, whereas in the classical inheritance one it is only viewe
d as a weak implication. we go on to describe a map between the defini
tion of a concept and its inherited properties, and we show that the c
ombination of these definitional and inheritance levels considerably i
mproves the capabilities of classification processes. In particular th
is allows us to distinguish sure from probable instances and typical f
rom exceptional instances. Finally we provide a specific operation, ob
ject refinement, which consists in enlarging object descriptions with
exceptions in order to find additional concepts the object is an insta
nce of. This operation is useful for our diagnosis application.