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多粒度粗糙集的双层绝对约简*
引用本文:邓大勇,黄厚宽.多粒度粗糙集的双层绝对约简*[J].模式识别与人工智能,2016,29(11):969-975.
作者姓名:邓大勇  黄厚宽
作者单位:1.浙江师范大学 行知学院 金华 321004
2.北京交通大学 计算机与信息技术学院 北京100044
基金项目:国家自然科学基金项目(No.61572442,61473030)、浙江省自然科学基金项目(No.LY15F020012)资助
摘    要:多粒度粗糙集本质上是异构的,但是目前尚未运用于异构数据处理.从绝对约简的角度出发,提出多粒度粗糙集的双层绝对约简——多粒度绝对约简和多粒度绝对粒度约简.分析多粒度双层绝对约简的性质,特别是从异构数据约简的角度探究多粒度双层绝对约简的特性,提出多粒度双层绝对约简算法.理论分析和实例表明多粒度双层绝对约简算法的可行性.

关 键 词:粗糙集    多粒度粗糙集    异构数据    绝对约简    双层绝对约简  
收稿时间:2016-07-25

Double-Level Absolute Reduction for Multi-granulation Rough Sets
DENG Dayong,HUANG Houkuan.Double-Level Absolute Reduction for Multi-granulation Rough Sets[J].Pattern Recognition and Artificial Intelligence,2016,29(11):969-975.
Authors:DENG Dayong  HUANG Houkuan
Affiliation:1.Xingzhi College, Zhejiang Normal University, Jinhua 321004
2.School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044
Abstract:Multi-granulation rough set is a rough set model for heterogenous data in essence. However, it is still not employed to deal with heterogenous data. From the viewpoints of absolute attribute reduction, double-level absolute reduction for multi-granulation rough sets is proposed, including multi-granulation absolute recducts and multi-granulation absolute granulation reducts, and properties of double-level absolute reduction are analyzed from the perspective of heterogenous data. The algorithms for double-level absolute reduction are presented. Theoretical analysis and example show the validation of multi-granulation absolute reducts, multi-granulation absolute granulation reducts and double-level absolute reducts.
Keywords:Rough Set  Multi-granulation Rough Set  Heterogenous Data  Absolute Reduction  Double-Level Absolute Reduction  
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