计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (19): 42-45.

• 研究、探讨 • 上一篇    下一篇

一种由乘积蕴涵算子构造的模糊概念格

苏亚娟1,张  涛2   

  1. 1.新乡学院 数学系,河南 新乡 453003
    2.新乡学院 网络管理中心,河南 新乡 453003
  • 出版日期:2012-07-01 发布日期:2012-06-27

A kind of fuzzy concept lattice defined from product implication operators

SU Yajuan1, ZHANG Tao2   

  1. 1.Department of Mathematics, Xinxiang University, Xinxiang, Henan 453003, China
    2.Department of Network Management Center, Xinxiang University, Xinxiang, Henan 453003, China
  • Online:2012-07-01 Published:2012-06-27

摘要: 建立了形式背景下一种由乘积蕴涵算子构造的模糊概念格,给出了它的定义方式;讨论了它的性质和层次结构,并给出了一种计算模糊概念的算法。通过数值例子说明了此类概念格的构造方法。

关键词: 形式背景, 蕴涵算子, 模糊集, 模糊概念格

Abstract: A new definition of the fuzzy concept that is based on product implication operators in a fuzzy formal context is presented. Its properties and hierarchical structure are discussed. After that, an algorithm is given to compute all fuzzy concepts. Finally, an example is included to illustrate the method.

Key words: formal context, implication operators, fuzzy sets, fuzzy concept lattice