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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (3): 97-104.doi: 10.6040/j.issn.1671-9352.4.2016.159

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基于加权粒度和优势关系的程度多粒度粗糙集

汪小燕,沈家兰,申元霞   

  1. 安徽工业大学计算机科学与技术学院, 安徽 马鞍山 243032
  • 收稿日期:2016-04-16 出版日期:2017-03-20 发布日期:2017-03-20
  • 作者简介:汪小燕(1974— ),女,硕士,副教授,研究方向为粗糙集理论、粒计算和概念格.E-mail: wxyzjx@126.com
  • 基金资助:
    国家青年科学基金资助项目(61300059)

Graded multi-granulation rough set based on weighting granulations and dominance relation

WANG Xiao-yan, SHEN Jia-lan, SHEN Yuan-xia   

  1. School of Computer Science &
    Technology, Anhui University of Technology, Maanshan 243032, Anhui, China
  • Received:2016-04-16 Online:2017-03-20 Published:2017-03-20

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被引次数

2

摘要： 程度多粒度粗糙集考虑了等价类与目标集合之间重叠部分的定量信息,却忽略了不同粒度的权重问题。基于程度多粒度粗糙集与加权粒度多粒度粗糙集,提出了基于加权粒度和优势关系的程度多粒度粗糙集模型。讨论了它的相关性质,并提出一种粒度约简的方法。最后通过实例分析验证了本文理论方法的正确性与有效性。

关键词: 程度多粒度粗糙集, 加权, 粒度约简, 优势关系

Abstract: It is considered that the quantitative information of the overlap between equivalence classes and a target set in graded multi-granulation rough set. However, the weight of different granularity is ignored. In view of graded multi-granulation rough set and multigranulation rough set based on weighted granulations, it is proposed the model of graded multi-granulation rough set based on weighting granulations and dominance relation. Then, its properties are discussed and a method of granulation reduction is proposed. Finally, the results of examples also show the correctness and effectiveness of the theoretical methods.

Key words: dominance relation, granulation reduction, graded multi-granulation rough set, weighting

中图分类号: 

  • TP18
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