Distance Measures between Vague Sets (VALUES)

At present in the area of intelligence it is more and more widely and deeply to research vague set. For measuring vague set, similarity measures between vague sets have been proposed in [1]. But in many cases we need the measuring 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 also 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 provides a useful tool for intelligence system.