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模糊性度量的数字特征分析及计算方法
Numerical Character Analysis and Calculation Method for Fuzzy Measure
【摘要】 介绍了模糊性的度量方法模糊度,分析了模糊度的公理化理论体系,并根据模糊度对单调性和对称性要求的强弱不同,将模糊度细分为3种类型,证明了每个类型所具有的性质,给出了用模糊信息熵及各种模糊距离计算模糊度的方法,并探讨了这些方法的各自特点.
【Abstract】 This paper introduces the measuring method of the fuzziness,that is fuzzy degree,and analyses the axiomatic theory system of the fuzziness.According to monotonicity of fuzzy degree and symmetry of fuzzy degree,it is divided into three genera,and each property of the genera is proved.With fuzzy information entropy and fuzzy distance,the calculation method of the fuzzy degree is given,and characteristic of those methods are probed.
【关键词】 模糊度;
模糊信息熵;
模糊距离;
海明距离;
闵可夫斯基距离;
【Key words】 fuzzy degree; fuzzy information entropy; fuzzy distance; Hamming Distance; Minkowski Distance;
【Key words】 fuzzy degree; fuzzy information entropy; fuzzy distance; Hamming Distance; Minkowski Distance;
【基金】 甘肃省自然科学基金资助项目(3ZS041-A25-004);甘肃省教育厅科研基金资助项目(0601-20)
- 【文献出处】 兰州工业高等专科学校学报 ,Journal of Lanzhou Polytechnic College , 编辑部邮箱 ,2007年02期
- 【分类号】O159
- 【被引频次】2
- 【下载频次】92