Is rigour always related to definitions and axioms?
Whatever be the case, can a set of philosophical analyses be rated in terms of rigour?
There is definitely such a thing as philosophical rigour although it is often an ideal rather than something achieved. Language makes rigour very difficult in philosophy but it can be maintained if one is aware of the ptitfalls.
Philosophical analysis can and must be rated in terms of rigour. Once rigour is lost philosophy becomes a muddle of words and concepts. Lack of rigour is public enemy number one in philosophy just as in mathematics.
Rigour in itself does not make for good philosophy but in its absence philosophy cannot be good.