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題名 Random and fuzzy sets in coarse data analysis
作者 Nguyen, H.T.
吳柏林
Wu, Berlin
貢獻者 應數系
關鍵詞 Data reduction; Mathematical models; Probability; Set theory; Statistical methods; Coarse data analysis; Fuzzy statistics; Random fuzzy sets; Random sets; Fuzzy sets
日期 2006-11
上傳時間 21-Jul-2015 15:29:36 (UTC+8)
摘要 The theoretical aspects of statistical inference with imprecise data, with focus on random sets, are considered. On the setting of coarse data analysis imprecision and randomness in observed data are exhibited, and the relationship between probability and other types of uncertainty, such as belief functions and possibility measures, is analyzed. Coarsening schemes are viewed as models for perception-based information gathering processes in which random fuzzy sets appear naturally. As an implication, fuzzy statistics is statistics with fuzzy data. That is, fuzzy sets are a new type of data and as such, complementary to statistical analysis in the sense that they enlarge the domain of applications of statistical science. © 2006 Elsevier B.V. All rights reserved.
關聯 Computational Statistics and Data Analysis, 51(1), 70-85
資料類型 article
DOI http://dx.doi.org/10.1016/j.csda.2006.04.016
dc.contributor 應數系-
dc.creator (作者) Nguyen, H.T.-
dc.creator (作者) 吳柏林zh_TW
dc.creator (作者) Wu, Berlinen_US
dc.date (日期) 2006-11-
dc.date.accessioned 21-Jul-2015 15:29:36 (UTC+8)-
dc.date.available 21-Jul-2015 15:29:36 (UTC+8)-
dc.date.issued (上傳時間) 21-Jul-2015 15:29:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/76764-
dc.description.abstract (摘要) The theoretical aspects of statistical inference with imprecise data, with focus on random sets, are considered. On the setting of coarse data analysis imprecision and randomness in observed data are exhibited, and the relationship between probability and other types of uncertainty, such as belief functions and possibility measures, is analyzed. Coarsening schemes are viewed as models for perception-based information gathering processes in which random fuzzy sets appear naturally. As an implication, fuzzy statistics is statistics with fuzzy data. That is, fuzzy sets are a new type of data and as such, complementary to statistical analysis in the sense that they enlarge the domain of applications of statistical science. © 2006 Elsevier B.V. All rights reserved.-
dc.format.extent 285843 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Computational Statistics and Data Analysis, 51(1), 70-85-
dc.subject (關鍵詞) Data reduction; Mathematical models; Probability; Set theory; Statistical methods; Coarse data analysis; Fuzzy statistics; Random fuzzy sets; Random sets; Fuzzy sets-
dc.title (題名) Random and fuzzy sets in coarse data analysis-
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.csda.2006.04.016-
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.csda.2006.04.016-