计算机应用 ›› 2015, Vol. 35 ›› Issue (4): 1030-1034.DOI: 10.11772/j.issn.1001-9081.2015.04.1030

• 人工智能 • 上一篇    下一篇

信息系统的属性信息粒计算方法

郝彦彬1, 郭晓2, 杨乃定1   

  1. 1. 西北工业大学 管理学院, 西安 710072;
    2. 西安电子科技大学 经济与管理学院, 西安 710071
  • 收稿日期:2014-11-17 修回日期:2014-01-05 出版日期:2015-04-10 发布日期:2015-04-08
  • 通讯作者: 郝彦彬
  • 作者简介:郝彦彬(1976-),男,黑龙江伊春人,讲师,博士研究生,CCF会员,主要研究方向:信息系统、数据挖掘、粒计算; 郭晓(1981-),女,山东泰安人,讲师,博士,主要研究方向:管理系统工程、风险管理、项目管理; 杨乃定(1964-),男,陕西户县人,教授,博士师导师,博士,主要研究方向:管理系统工程、风险管理、项目管理。
  • 基金资助:

    国家自然科学基金资助项目(71471146)。

Computing method of attribute information granule of information system

HAO Yanbin1, GUO Xiao2, YANG Naiding1   

  1. 1. College of Management, Northwestern Polytechnical University, Xi'an Shaanxi 710072, China;
    2. School of Economics and Management, Xidian University, Xi'an Shaanxi 710071, China
  • Received:2014-11-17 Revised:2014-01-05 Online:2015-04-10 Published:2015-04-08

摘要:

根据属性上的函数依赖关系,提出了信息系统属性信息粒的概念,并给出了可分离信息系统的粒结构计算方法。首先,定义了信息系统可分离性,证明了如果一个信息系统是可分离的,则该系统的粒结构可分解为该系统的子系统粒结构的笛卡儿乘积;其次,给出了信息系统可分离性的判别方法及信息系统分解算法;最后,分析了该计算方法的复杂度。分析结果表明,与直接计算信息系统的粒结构相比,该计算方法可将计算复杂度从O(2n)降低到O(2n1+2n2+…+2nk),n=n1+n2+…+nk。理论分析和实例计算表明,该计算方法是可行的。

关键词: 函数依赖, 闭包, 属性粒, 信息系统结构, 可分离性

Abstract:

Based on functional dependency over the attributes, the concept of attribute information granule of information system was proposed, and a method to calculate the structure of attribute granule of separable information system was given. Firstly, the separability of information system was defined, and it was proved that if an information system is separable, the structure of attribute granule of the system can be decomposed into the Cartesian product of the structures of attribute granules of its sub-systems. Secondly, the method to judge the separability of an information system and the decomposition algorithm of information system were given. Lastly, the complexity of the proposed method was analyzed. And the analysis result demonstrates that the complexity of the direct calculation of the structure of attribute granule of information system is O(2n), and the proposed method can reduce it to O(2n1+2n2+…+2nk) where n=n1+n2+…+nk. The theoretical analysis and example show that the method is feasible.

Key words: functional dependency, closure, attribute granule, information system structure, separability

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