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http://hdl.handle.net/10119/5000
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タイトル: | A roughness measure for fuzzy sets |
著者: | Huynh, Van-Nam Nakamori, Yoshiteru |
キーワード: | Rough sets fuzzy sets roughness measure rough fuzzy sets |
発行日: | 2005-06-16 |
出版者: | Elsevier |
誌名: | Information Sciences |
巻: | 173 |
号: | 1-3 |
開始ページ: | 255 |
終了ページ: | 275 |
DOI: | 10.1016/j.ins.2004.07.017 |
抄録: | Recently, an attempt of integration between the theories of fuzzy sets and rough sets has resulted in providing a roughness measure for fuzzy sets (Banerjee and Pal, 1996). Essentially, Banerjee and Pal's roughness measure depends on parameters that are designed as thresholds of definiteness and possibility in membership of the objects to a fuzzy set. In this paper we first remark that this measure of roughness has several undesirable properties, and then propose a parameter-free roughness measure for fuzzy sets based on the notion of the mass assignment of a fuzzy set. Several interesting properties of this new measure are examined. Furthermore, we also discuss how the proposed approach is used to describe the rough approximation quality of a fuzzy classification. |
Rights: | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Van-Nam Huynh and Yoshiteru Nakamori, Information Sciences, 173(1-3), 2005, 255-275, http://dx.doi.org/10.1016/j.ins.2004.07.017 |
URI: | http://hdl.handle.net/10119/5000 |
資料タイプ: | author |
出現コレクション: | a10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
ファイル |
記述 |
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C3715.pdf | | 232Kb | Adobe PDF | 見る/開く |
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