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多测度Vague集相似度量

     

摘要

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 triangles 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-line-region" in spatial. The examples verify the validity and the advantage of the proposed multi-measures similarity measures.%针对单一测度度量Vague集相似性上的缺陷,提出了两种Vague集的多测度相似度量.给出了一种Vague集的单形体几何表示方法,亦即将Vague集的真、假隶属度和未知度表达为划分单形体同一平面的3个三角形,进而提出了适合于度量Vague集相似性的面积测度,并结合距离测度和未知度测度构造了Vague集多测度相似度量,以在空间上体现出“点-线-面”多特征相似性度量格局.实例验证了多测度相似度量的有效性和优越性.

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