多测度Vague集相似度量  

Multi-measures Similarity Measures between Vague Sets

作　　者：韦波[1,2] 黎胜[1] 黎珍惜[1] 

机构地区：[1]桂林理工大学测绘地理信息学院,桂林541004 [2]桂林理工大学广西空间信息与测绘重点实验室,桂林541004

出　　处：《计算机科学》2012年第7期219-221,241,共4页Computer Science

基　　金：国家自然科学基金项目(41071294;41064001);广西自然科学基金项目(0991248);广西研究生教育创新计划项目(2011105960816M14)资助

摘　　要：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。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 unknovcn for Vague sets as the 3 trian- gles 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 mea- sures 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.

关 键 词：VAGUE集 相似度量 多测度 凸面单形体 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]