Some people see integrity as the quality of having a sense of honesty and truthfulness in regard to the motivations for one's actions. Some people use the term "hypocrisy" in contrast to integrity for asserting that one part of a value system demonstrably conflicts with another, and to demand that the parties holding apparently conflicting values account for the discrepancy or change their beliefs to improve internal consistency (seen as a virtue).
The etymology of the word "integrity" can suggest insight into its use and meaning. It stems from the Latin adjective integer (whole, complete). In this context, integrity may comprise the personal inner sense of "wholeness" deriving from (say) honesty and consistency of character. As such, one may judge that others "have integrity" to the extent that one judges whether they behave according to the values, beliefs and principles they claim to hold.