An uncertainty measure in partition-based fuzzy rough sets
Publication in refereed journal

香港中文大學研究人員

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摘要This paper extends Pawlak's rough set onto the basis of a fuzzy partition of the universe of discourse. Some basic properties of partition-based fuzzy approximation operators are examined. To measure uncertainty in generalized fuzzy rough sets, a new notion of entropy of a fuzzy set is introduced. The notion is demonstrated to be adequate for measuring the fuzziness of a fuzzy event. The entropy of a fuzzy partition and conditional entropy are also proposed. These kinds of entropy satisfy some basic properties similar to those of Shannon's entropy. It is proved that the measure of fuzziness of a partition-based fuzzy rough set, FR(A), is equal to zero if and only if the set A is crisp and definable.
著者Mi JS, Leung Y, Wu WZ
期刊名稱International Journal of General Systems
出版年份2005
月份2
日期1
卷號34
期次1
出版社TAYLOR & FRANCIS LTD
頁次77 - 90
國際標準期刊號0308-1079
電子國際標準期刊號1563-5104
語言英式英語
關鍵詞entropy; fuzziness; fuzzy partition; rough set; uncertainty
Web of Science 學科類別Computer Science; Computer Science, Theory & Methods; COMPUTER SCIENCE, THEORY & METHODS; Engineering; Ergonomics

上次更新時間 2020-24-10 於 01:16