Abstract: Aimed to the drawbacks of measuring similarity between Vague sets on a single measure, two similarity measures on multi-measures between Vague sets were proposed. A simplex geometrical expression of Vague sets was presented, which represents the degree of true membership, false membership and unknown for Vague sets as the 3 triarr files partitioning a same plane within a simplex. Then an area measure suiting for measuring similarity between Vague sets was proposed. Combining the area measure with the measure of distance and unknown degree, the similarity measures on multi-measures between Vague sets were constructed, which embody a measuring pattern for similarity by multi-features of "point lin}region" in spatial. The examples verify the validity and the advantage of the proposed multi-measures similarity measures.

Key words: Vague sets, Similarity measures, Multi-measures, Convex simplex