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基于熵的模糊信息测度研究
  • ISSN号：0254-4164
  • 期刊名称：计算机学报
  • 时间：0
  • 页码：796-801
  • 分类：TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]中国矿业大学计算机科学与技术学院江苏,徐州221116, [2]中国科学院计算技术研究所智能信息处理重点实验室,北京100190
  • 相关基金：国家自然科学基金项目（41074003,60975039）; 国家“九七三”重点基础研究发展规划项目基金（2007CB311004）; 江苏省基础研究计划（自然科学基金）（BK2009093）; 中国科学院智能信息处理重点实验室开放基金项目（IIP2010-1）资助~~
  • 相关项目：分布式计算环境下的并行数据挖掘算法与理论研究
作者： 丁世飞|朱红|许新征|史忠植|DING Shi-Fei1),2) ZHU Hong1) XU Xin-Zheng1) SHI Zh|
关键词： 模糊熵, 模糊交互熵, 模糊绝对熵测度, 模糊相对熵测度, 模糊交互熵测度, fuzzy entropy, fuzzy cross entropy, fuzzy absolute entropy measure（FAEM）, fuzzy relative entropy measure（FREM）, fuzzy cross entropy measure（FCEM）
中文摘要：

模糊信息测度（Fuzzy Information Measures,FIM）是度量两个模糊集之间相似性大小的一种量度,在模式识别、机器学习、聚类分析等研究中,起着重要的作用.文中对模糊测度进行了分析,研究了基于熵的模糊信息测度理论：首先,概述了模糊测度理论,指出了其优缺点;其次,基于信息熵理论,研究了模糊熵理论,建立了模糊熵公理化体系,讨论了各种模糊熵,在此基础上,提出了模糊绝对熵测度、模糊相对熵测度等模糊熵测度;最后,基于交互熵理论,建立了模糊交互熵理论,进而提出了模糊交互熵测度.这些测度理论,不仅丰富与发展了FIM理论,而且为模式识别、机器学习、聚类分析等理论与应用研究提供了新的研究方法.

英文摘要：

Fuzzy Information Measures（FIM） are to be used to measure similarity between two fuzzy sets and plays an important part in pattern recognition,machine learning,clustering analysis.In this paper,FIM theory is studied based on information entropy.Firstly,the existing FIM theories are introduced and some advantages and disadvantages are pointed out.Secondly,based on information entropy,the fuzzy information entropy is studied,four axioms about fuzzy entropy are set up,and all kinds of definitions of fuzzy entropy are discussed.Based on fuzzy entropy,two new fuzzy entropy measures,fuzzy absolute information measure（FAIM） and fuzzy relative information measure（FRIM） are proposed.At last,based on cross entropy,the fuzzy cross entropy is discussed,and fuzzy cross entropy measure（FCEM） is set up.All these measures,not only enrich and develop FIM theory,but also provide a new research approach for studies on pattern recognition,machine learning,clustering analysis et al in theory and application.

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期刊论文 49 著作 1
分布式计算环境下的并行数据挖掘算法与理论研究
期刊论文 65 会议论文 32
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期刊信息
  • 《计算机学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国计算机学会 中国科学院计算技术研究所
  • 主编：孙凝晖
  • 地址：北京中关村科学院南路6号
  • 邮编：100190
  • 邮箱：cjc@ict.ac.cn
  • 电话：010-62620695
  • 国际标准刊号：ISSN：0254-4164
  • 国内统一刊号：ISSN：11-1826/TP
  • 邮发代号:2-833
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,荷兰文摘与引文数据库,美国工程索引,美国剑桥科学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:48433