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模糊信息度量的基本原理与方法
Basic principles and methods of fuzziness measures
【摘要】 本文对模糊集理论中已有的各种类型的模糊熵进行了综述,简要介绍了近几年人们在模糊熵领域的研究进展和已经取得的新成果。文中以De Luca和Termini的模糊熵为主线,聚焦于几种典型的DeLuca-Termini类型的模糊熵,对它们的特征性质做一系统介绍,重点突显构造模糊熵的基本原理和基本方法;同时阐明许多离散模糊熵在由Sugeno积分或Choquet积分定义的模糊熵的框架下得到了统一。本文还呈现了由模糊积分定义的模糊熵的几个新的性质,并且进一步探讨了关于模糊熵的结构理论的研究。
【Abstract】 In this paper a brief overview of various types of fuzzy entropy existing in fuzzy set theory was provided, and the research progress and new achievements in the field of fuzzy entropy in recent years were briefly introduced. With De Luca and Termini’ s fuzzy entropy as the main thread, several typical DeLucaTermini types of fuzzy entropy was focused on. A systematic introduction was given to their characteristic properties, highlighting the basic principles and methods of constructing fuzzy entropy. At the same time, it was explained that many discrete fuzzy entropies were unified under the framework of fuzzy entropy defined by Sugeno integral or Choquet integral. Several new properties of fuzzy entropy defined by integrals were also included in this paper, as well as further thoughts on the structural theory of fuzzy entropy.
【Key words】 fuzzy set; entropy of fuzzy set; fuzzy measure; fuzzy integral; Choquet integral;
- 【文献出处】 信息传播研究 ,Information and Communication Research , 编辑部邮箱 ,2024年06期
- 【分类号】O159
- 【下载频次】8