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模糊知识的三种否定及其集合基础
  • 摘要

    对于模糊知识中“否定”的认知与处理,文中从概念层面上区分模糊知识中的矛盾否定关系与对立否定关系,研究发现了模糊知识中存在一规律:一对对立的概念为模糊概念,则它们之间必然存在“中介”的模糊概念;反之,如果一对对立的概念之间存在中介的模糊概念,则对立的概念必然是模糊概念.因此,作者提出在模糊知识的否定关系中存在三种不同的否定关系,即矛盾否定关系、对立否定关系和中介否定关系,并给出它们的形式定义.为了能够刻画这些关系的内在性质与联系,作者提出了一种新的具有矛盾否定、对立否定和中介否定的模糊集FSCOM,并讨论了FSCOM的特征、FSCOM的基本运算与性质以及FSCOM与Zadeh模糊集的关系等.在后续文中将表明,FSCOM是一种处理实际中的模糊知识及其各种否定的有效方法.

  • 作者

    潘正华  PAN Zheng-Hua 

  • 作者单位

    江南大学理学院 江苏无锡214122

  • 刊期

    2012年7期 ISTIC EI PKU

  • 关键词

    模糊知识  模糊集  矛盾否定关系  对立否定关系  中介否定关系 

参考文献
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