计算机应用 ›› 2012, Vol. 32 ›› Issue (05): 1303-1306.

• 人工智能 • 上一篇    下一篇

基于全序优势关系的不完备模糊信息系统及其属性约简

曾雪兰,孙兴星   

  1. 广西大学 数学与信息科学学院,南宁 530004
  • 收稿日期:2011-11-04 修回日期:2012-01-14 发布日期:2012-05-01 出版日期:2012-05-01
  • 通讯作者: 曾雪兰
  • 作者简介:曾雪兰(1962-),女,广西贺州人,副教授,主要研究方向:管理决策;孙兴星(1986-),男,陕西渭南人,硕士研究生,主要研究方向:管理决策、粗糙集;于莹莹(1988-),女,河南尉氏人,硕士研究生,主要研究方向:管理决策、粗糙集。
  • 基金资助:

    广西自然科学基金资助项目(桂科自0991027)

Incomplete fuzzy information system based on total order dominance relation and its attribute reduction

ZENG Xue-lan,SUN Xing-xing   

  1. College of Mathematics and Information Science, Guangxi University, Nanning Guangxi 530004, China
  • Received:2011-11-04 Revised:2012-01-14 Online:2012-05-01 Published:2012-05-01
  • Contact: ZENG Xue-lan

摘要: 针对具有优势关系的不完备模糊决策信息系统,在分析了现有的两种优势关系的优缺点的基础上,利用属性值的概率分布原理提出了一种新的全序优势关系,这种关系合理地改进了扩展优势关系,克服了限制优势关系不能对论域中所有对象进行比较的缺点,并进一步给出了基于全序优势关系的上下近似表达式,相对约简的定义和具体的计算方法。最后用实例说明这种方法的有效性。

关键词: 粗糙集, 不完备模糊信息系统, 优势关系, 相对约简

Abstract: Concerning the incomplete fuzzy decision information system with a dominance relation, according to the analyses on the advantages and disadvantages of two dominance relations, a new total order dominance relation was built by using the probability distribution principle of the attribute value. This relation was used to reasonably improve the extended dominance relation and overcome the shortcoming that the limited dominance relation cannot be used to compare all the objects in the domain. And further, based on the new relation, the expression of the lower and upper approximate, the definition of relative reduction and specific calculation method were given. Finally, an example verifies the effectiveness of the proposed method.

Key words: rough set, incomplete fuzzy information system, dominance relation, relative reduction

中图分类号: