Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (24): 38-41.

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Information entropy and knowledge granulation for set-valued ordered information systems

BAO Zhongkui   

  1. 1.School of Mathematical Sciences, Anhui University, Hefei 230601, China
    2.School of Management, Hefei University of Technology, Hefei 230009, China
  • Online:2014-12-15 Published:2014-12-12

集值序信息系统的信息熵和知识粒度

鲍忠奎   

  1. 1.安徽大学 数学科学学院,合肥 230601
    2.合肥工业大学 管理学院,合肥 230009

Abstract: To overcome the shortcoming of the existing dominance relations, a new δ-dominance relation that considers the superiority degree between objects is proposed for set-valued ordered information systems. And then, based on δ-dominance relation, the concepts of information entropy and knowledge granulation are introduced in set-valued ordered information systems to measure the uncertainty. Results show that information entropy and knowledge granulation can evaluate the uncertainty of knowledge in set-valued ordered information systems.

Key words: set-valued ordered information systems, δ-dominance relation, information entropy, knowledge granulation

摘要: 针对已有文献中二元优势关系定义过于宽松的不足,在集值序信息系统中结合对象间的不同优势程度,提出δ-优势关系的概念;基于δ-优势关系,将信息熵和知识粒度引入集值序信息系统中进行不确定性的度量。结论表明提出的信息熵和知识粒度可以精确地度量集值序信息系统的不确定性。

关键词: 集值序信息系统, &delta, -优势关系, 信息熵, 知识粒度