Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (7): 171-176.DOI: 10.3778/j.issn.1002-8331.1510-0038

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Study of information entropy in granular computing of hesitant fuzzy

LU Xiaoyun   

  1. School of Computer, Qinghai Normal University, Xining 810008, China
  • Online:2017-04-01 Published:2017-04-01

犹豫模糊粒计算中信息熵研究

鲁小云   

  1. 青海师范大学 计算机学院,西宁 810008

Abstract: Based on the theory?of hesitant fuzzy granularity structure, combined with the concepts of Shannon’s entropy and the new entropy introduced by Liang, the concepts of type[Ι]and type[Π]hesitant fuzzy information entropy, joint entropy, condition entropy are given. The partial order of hesitant fuzzy-information entropy is discussed, the relationships between?the hesitation fuzzy information entropy, joint entropy, condition entropy presented above and all kinds of related entropy that?already?exist are analyzed.

Key words:  hesitant fuzzy granular structure, hesitant fuzzy information entropy, hesitant fuzzy information joint entropy, hesitant fuzzy information condition entropy

摘要: 基于犹豫模糊粒度结构理论,结合Shannon熵和梁吉业等人提出的新熵概念,给出[Ι]型和[Π]型犹豫模糊信息熵、联合熵、条件熵概念,讨论了两类犹豫模糊信息熵的偏序性,分析了给出的犹豫模糊信息熵、联合熵、条件熵与已存在的各类相关熵之间的关系。

关键词: 犹豫模糊粒度结构, 犹豫模糊信息熵, 犹豫模糊信息联合熵, 犹豫模糊信息条件熵