东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (9): 1274-1277.DOI: -

• 论著 • 上一篇    下一篇

模糊形式概念分析与模糊概念格

胡明涵;张俐;任飞亮;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-09-15 发布日期:2013-06-24
  • 通讯作者: Hu, M.-H.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60573090)

Fuzzy formal concept analysis and fuzzy concept lattices

Hu, Ming-Han (1); Zhang, Li (1); Ren, Fei-Liang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-09-15 Published:2013-06-24
  • Contact: Hu, M.-H.
  • About author:-
  • Supported by:
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摘要： 针对在许多应用领域中,大多数信息都是复杂的、不确定的,而传统的形式概念分析不能表达这些模糊的、不确定的信息问题,介绍了将Zadeh的模糊数学理论与形式概念分析理论相结合所形成的模糊形式概念分析理论.给出并证明了在模糊形式背景下对象集合及属性集合的一些结论.建立了在模糊形式背景下的模糊概念格并证明了该模糊概念格仍然是一个完备格.最后用实例说明了这种模糊概念格的构造方法.

关键词: 形式概念分析, 模糊形式概念分析, 模糊概念格, 完备格, 对象, 属性

Abstract: In many application domains, information is complex and uncertain. Conventional formal concept analysis is unable to express fully the vague and uncertain information. The theory of fuzzy formal concept analysis is therefore introduced, which combines the fuzzy theory proposed by Zadeh with the theory of formal concept analysis. Some conclusions are drawn with a set of objects and a set of attributes proved in fuzzy formal context. Then, the fuzzy concept lattice is formed in fuzzy formal context, which is proved to be a complete one. Some examples are given to illustrate how to form the fuzzy concept lattice.

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