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计算机工程 ›› 2010, Vol. 36 ›› Issue (15): 77-79. doi: 10.3969/j.issn.1000-3428.2010.15.027

• 软件技术与数据库 • 上一篇    下一篇

实数域上的粗糙函数及其Galois格构建

郭显娥1,王俊红2   

  1. (1. 山西大同大学数学与计算机科学学院,大同 037009;2. 山西大学计算机与信息技术学院,太原 030006)
  • 出版日期:2010-08-05 发布日期:2010-08-25
  • 作者简介:郭显娥(1964-),女,副教授、硕士,主研方向:概念格,知识发现;王俊红,讲师、博士
  • 基金资助:
    山西省国际科技合作基金资助项目(2010081005);天津市自然科学重大基金资助项目(07JCZDJC06500)

Rough Function in Real Domain and Its Establishment of Galois Lattice

GUO Xian’e1, WANG Jun-hong2   

  1. (1. School of Mathematics and Computer Science, Shanxi Datong University, Datong 037009; 2. School of Computer and Information Technology, Shanxi University, Taiyuan 030006)
  • Online:2010-08-05 Published:2010-08-25

摘要: 传统粗糙集理论源于集合论平台,其上、下近似算子在描述函数方面存在缺陷。针对该问题,利用定义在整数轴上能严格划分出单调实函数的标度工具,提出上、下粗糙函数概念,形成实数域上的粗糙函数模型。构建与其匹配的Galois格,并通过可辨识矩阵对其概念格进行了知识约简。

关键词: 标度, Galois格, 粗糙函数

Abstract: The traditional rough set theory is based on the set theory. It can be found that upper and lower approximation operators have some shortcomings in the description of function. This paper puts forward the definition of upper and lower rough function in view of scale, which can confirm strict partition of a monotone real function defined in the integer, then form rough function model of real domain. It establishes the corresponding Galois concept lattice in light of the analysis of rough function model. It simplifies the property of lattice concept by discernibility matrix.

Key words: scale, Galois lattice, rough function

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