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基于广义离散Morse理论的强关联规则挖掘
引用本文:刘俊,刘希玉.基于广义离散Morse理论的强关联规则挖掘[J].计算机工程,2011,37(16):45-47.
作者姓名:刘俊  刘希玉
作者单位:山东师范大学管理与经济学院,济南,250014
基金项目:国家自然科学基金资助项目,山东省自然科学基金资助项目
摘    要:针对强关联规则的挖掘问题,提出构造事务数据库的单元复形,利用广义离散Morse理论发现强关联规则的方法。在基本的离散Morse理论和关联规则的基础上延伸得到广义离散Morse理论和强关联规则的定义,通过在事务数据库的单元复形上定义离散Morse函数挖掘强关联规则,例证表明该方法的可行性和高效性。

关 键 词:离散Morse理论  拓扑  广义离散Morse函数  广义离散梯度  强关联规则
收稿时间:2011-01-28

Strong-association Rules Mining Based on Generalized Discrete Morse Theory
LIU Jun,LIU Xi-yu.Strong-association Rules Mining Based on Generalized Discrete Morse Theory[J].Computer Engineering,2011,37(16):45-47.
Authors:LIU Jun  LIU Xi-yu
Affiliation:(School of Management and Economics,Shandong Normal University,Jinan 250014,China)
Abstract:For the problem of strong-association rules mining,a method is proposed which constructs a cell complex on transaction database and uses generalized discrete Morse theory to find the strong-association rule.It gets the definition of generalized discrete Morse theory and strong-association rule by extending the basic discrete Morse theory and association rule,mining the strong-association rule by defining discrete Morse theory on cell complex of transaction database.Example verifies the feasibility and efficiency of the method.
Keywords:discrete Morse theory  topology  generalized discrete Morse function  generalized discrete gradient  strong-association rule
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