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模糊集上度量的若干注记
引用本文:张运良.模糊集上度量的若干注记[J].西安联合大学学报,1999(4).
作者姓名:张运良
作者单位:西安联合大学!陕西西安710061
摘    要:给一个度量空间S上的两个模糊集u 和v,Chaudhuri和Rosenfeld 定义了u、v 之间的Hausdorff距离。该定义只适应于u 和v 取离散值或连续值的情形。在更一般的情况下,定义了新的Hausdorff距离

关 键 词:模糊集  度量  距离  Hausdorff距离  不相似性

Notes on Metric Distance between Fuzzy Sets
Authors:ZHANG Yun  liang
Abstract:Given two fuzzy subsets, u and v on support set S in a metric (e g Euclidean)space, Chaudhuri and Rosenfeld defined a Hausdorff-like distance between u and v This definition is applicable both when u and v are discretevalued and when they are continuous In this paper we consider the problem of defining a distance between u and v in more general case, new Hausdorff-like distances are defined that are a metric
Keywords:Fuzzy sets  Metric  Distance  Hausdorff distance  Dissimilarity
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