《计算机应用研究》|Application Research of Computers

多粒度粗糙集粒度权重确定的综合方法

Synthetic method for granularity weights of multi-granularity rough set

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作者 彭连贵,阎瑞霞,陈昭君
机构 上海工程技术大学 管理学院,上海 201620
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文章编号 1001-3695(2019)11-010-3250-03
DOI 10.19734/j.issn.1001-3695.2018.05.0302
摘要 针对现有粒度权重的确定方法主观性较强的问题,提出一种基于粒度信息量的权重确定方法。首先,将信息量引入粗糙集的下近似分布中,定义粗糙集下近似分布中粒度集的信息量;其次,基于信息量定义了粒度的重要度,以粒度的重要度作为启发信息,设计了基于信息量来确定粒度权重的综合方法;通过引入权重系数,决策者根据实际情况选择粒度权重的确定方式,即经验主导型、客观主导型;最后,通过实例验证了算法的有效性。分析结果发现,经验主导型的确定方法强化了非核粒度的重要性,客观主导型的确定方法强化了核粒度的重要性。
关键词 多粒度粗糙集; 信息量; 粒度重要度; 权重
基金项目 国家自然科学基金资助项目(71301100)
上海市教委科研创新项目(14YZ140)
本文URL http://www.arocmag.com/article/01-2019-11-010.html
英文标题 Synthetic method for granularity weights of multi-granularity rough set
作者英文名 Peng Liangui, Yan Ruixia, Chen Zhaojun
机构英文名 School of Management,Shanghai University of Engineering Science,Shanghai 201620,China
英文摘要 In order to overcome the problem that most of the methods for granularity weights has strong subjectivity, this paper proposed a weight determination method based on the granularity information quantity. Firstly, the method introduced the information quantity into the lower approximate distribution of the rough set. It defined the information quantity of the granularity set in the approximate distribution under the rough set. Secondly, it defined the importance degree of the granularity based on the information quantity, and used the importance degree of the granularity as the heuristic information. It proposed a synthetic method based on the quantity of information to determine the granularity weight. According to the weight coefficient and actual situation, the decision maker chose the granularity weight determination mode: empiricallyoriented and objectively-oriented. Finally, it used an example to verify the effectiveness of the method. The results show that the empirically-oriented determined method strengthens the importance of non-nuclear granularity, and the objectively-oriented determination method strengthens the importance of nuclear granularity.
英文关键词 multi-granularity rough set; information quantity; granularity important degree; weight
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收稿日期 2018/5/20
修回日期 2018/7/13
页码 3250-3252,3268
中图分类号 TP182
文献标志码 A