At present in the area of intelligence it is more and more widely and deeply to research vague set. For mea-suring vague set, similarity measures between vague sets have been proposed in [1]. But in many cases we need themeasuring method with distance characteristics, so we propose a series of distance measures for vague sets (values)and elements of vague sets. And we prove all characteristics of vague sets proposed by us, and then an example is al-so presented to illustrate the application of the proposed distance measures in handling behavior analysis problems.The method proposed in the example can provide a useful way in handling the behavior analysis problems. It providesa useful tool for intelligence system.
