《計算機應用研究》|Application Research of Computers

多粒度粗糙集粒度權重確定的綜合方法

Synthetic method for granularity weights of multi-granularity rough set

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作者 彭連貴,閻瑞霞,陳昭君
機構 上海工程技術大學 管理學院,上海 201620
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文章編號 1001-3695(2019)11-010-3250-03
DOI 10.19734/j.issn.1001-3695.2018.05.0302
摘要 針對現有粒度權重的確定方法主觀性較強的問題,提出一種基于粒度信息量的權重確定方法。首先,將信息量引入粗糙集的下近似分布中,定義粗糙集下近似分布中粒度集的信息量;其次,基于信息量定義了粒度的重要度,以粒度的重要度作為啟發信息,設計了基于信息量來確定粒度權重的綜合方法;通過引入權重系數,決策者根據實際情況選擇粒度權重的確定方式,即經驗主導型、客觀主導型;最后,通過實例驗證了算法的有效性。分析結果發現,經驗主導型的確定方法強化了非核粒度的重要性,客觀主導型的確定方法強化了核粒度的重要性。
關鍵詞 多粒度粗糙集; 信息量; 粒度重要度; 權重
基金項目 國家自然科學基金資助項目(71301100)
上海市教委科研創新項目(14YZ140)
本文URL http://www.ziusle.tw/article/01-2019-11-010.html
英文標題 Synthetic method for granularity weights of multi-granularity rough set
作者英文名 Peng Liangui, Yan Ruixia, Chen Zhaojun
機構英文名 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.
英文關鍵詞 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
頁碼 3250-3252,3268
中圖分類號 TP182
文獻標志碼 A
中超外援名额