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中国管理科学 ›› 2007, Vol. 15 ›› Issue (6): 105-110.

• 论文 • 上一篇    下一篇

基于粗糙集理论的格序选择方法

戴毓, 周德群   

  1. 南京航空航天大学经济与管理学院, 江苏南京210016
  • 收稿日期:2007-01-11 修回日期:2007-11-26 出版日期:2007-12-31 发布日期:2007-12-31
  • 作者简介:戴毓(1979- ),男(汉族),山东临沂人,南京航空航天大学经济与管理学院博士研究生,研究方向:金融决策、金融工程.
  • 基金资助:

    国家自然科学基金资助项目(90510010);教育部博士点基金资助项目(20050287026)

A Method of Lattice-Order Selection Based on Rough Sets Theory

DAI Yu, ZHOU De-qun   

  1. College of Economics and Management, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
  • Received:2007-01-11 Revised:2007-11-26 Online:2007-12-31 Published:2007-12-31

摘要: 在粗糙集理论中,为了识别由偏好属性导致的不相容性,已提出基于优势关系的粗糙集理论,然而这一理论在实际应用中往往导致多个决策规则的出现,如何辨别由偏好多属性决策表中获取的多个决策规则从而选取最优方案,尚未见到有关的研究文献。本文针对这一问题,利用格序理论,给出属性约简的贴近度,比较不同约简所得决策规则贴近于原知识库的程度,从而得到一种选择最优决策方案的方法。

关键词: 格序, 优势关系, 属性约简, 贴近度

Abstract: In the theory of the rough set,some results were given to deal with possible inconsistencies in preferential attribute decision.However,in practice,different reductions may occur according to this theory.How to choose the best reduction from different ones is still unanswered.In this thesis,with the theory of lattice and order based on dominance relation,the fidelity of a reduction is defined.Then,the similarities of different reductions compared with original data table are obtained.Through this tool one can choose a better reduction of attributes to make a decision.

Key words: lattice-order, dominance relation, reduction of attributes, fidelity

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