计算机科学 ›› 2014, Vol. 41 ›› Issue (7): 250-253.doi: 10.11896/j.issn.1002-137X.2014.07.052

• 人工智能 • 上一篇    下一篇

形式概念分析在不完备信息系统中的知识获取

李想,王素格,李德玉,康向平,翟岩慧   

  1. 山西大学数学科学学院 太原030006;山西大学计算机与信息技术学院 太原030006;山西大学计算智能与中文信息处理教育部重点实验室 太原030006;山西大学计算机与信息技术学院 太原030006;山西大学计算智能与中文信息处理教育部重点实验室 太原030006;同济大学电子与信息工程学院 上海201804;山西大学计算机与信息技术学院 太原030006;山西大学计算智能与中文信息处理教育部重点实验室 太原030006
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金资助

Knowledge Acquisition in Incomplete Information System Based on Formal Concept Analysis

LI Xiang,WANG Su-ge,LI De-yu,KANG Xiang-ping and ZHAI Yan-hui   

  • Online:2018-11-14 Published:2018-11-14

摘要: 在实际应用中,信息系统通常不满足完备性,直接采用经典粗糙集无法进行有效求解。针对该问题,在粗糙集中引入形式概念分析,通过探讨二者之间的关系,在不完备信息系统中提出了两大理论融合下的知识获取模型。在该模型中,首先将不完备信息系统转换为单值形式背景,提出了相容概念和相容概念格,然后基于相容概念对不完备信息系统中的一些常见问题(如上下近似算子、核、约简等)的求解进行了研究,最后探讨了相容概念在不完备决策表中的应用。该模型不仅对两种理论之间的融合研究进行了有益探索,而且为不完备信息系统中的一些基本问题求解提供了一种新的思路。

关键词: 形式概念分析,粗糙集,相容关系,不完备信息系统 中图法分类号TP181文献标识码A

Abstract: In practical applications,some common problems in information system can’t be solved effectively based on the classical rough set due to its incompleteness.To solve this problem,the paper introduced formal concept analysis into rough set,proposed a knowledge acquisition model in incomplete information systems by discussing the relationship between formal concept analysis and rough set theory.First by converting incomplete information system into a one-va-lued context,consistent concepts and consistent concept lattice were proposed.Then some common problems in incomplete information systems were studied,such as upper and lower approximations,cores,reducts,etc.Finally,the application of consistent concepts in a decision table was discussed.The proposed model not only explores the fusion of two theories greatly,but provides a new idea for solving some basic problems of incomplete information system.

Key words: Formal concept analysis,Rough set,Consistent relation,Incomplete information system

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