Marvin Brown has an interesting analysis of integrity showing that the term can mean four different things:
Wholeness, of course, always implies the presence of parts, so integrity requires not only wholeness, but also the right relationships among the parts of a whole. To create integrity, therefore, is to integrate the parts into a whole. The relationships between the parts and the whole offer various meanings of integrity, including integrity as consistency, as relational awareness, as inclusion, and as pursing a worthwhile purpose.
The whole article is worth reading and is, itself, an extract from his book Marvin T. Brown Corporate Integrity: Rethinking Organizational Ethics and Leadership (Cambridge University Press, 2005)