Optimal Granularity Selections in Consistent Incomplete Multi-granular Labeled Decision Systems
WU Weizhi, CHEN Ying, XU Youhong, GU Shenming
Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan 316022 School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022
Abstract:Aiming at knowledge acquisition in incomplete information systems with multi-granular labels, the concept of incomplete multi-granular labeled information systems is firstly introduced.Similarity relations of an incomplete multi-granular labeled information system are then defined.Representations of information granules with different levels of granulation as well as their relationships are also explored.Lower and upper approximations based on similarity relations with different levels of granulation are further defined and their properties are presented.Finally, by belief and plausibility functions in Dempster-Shafer theory of evidence, optimal granularity selections in consistent incomplete multi-granular labeled decision systems are discussed.
作者简介: 吴伟志(通讯作者),男,1964年生,博士,教授,主要研究方向为粗糙集、粒计算、数据挖掘、人工智能.E-mail:wuwz@zjou.edu.cn. (WU Weizhi (Corresponding author), born in 1964, Ph.D., professor. His research interests include rough sets, granular computing, data mining and artificial intelligence.) 陈 颖,女,1992年生,硕士研究生,主要研究方向为粗糙集、数据挖掘.E-mail: 825077994@qq.com. (CHEN Ying, born in 1992, master student. Her research interests include rough sets and data mining. ) 徐优红,女,1969年生,硕士,副教授,主要研究方向为粗糙集、粒计算、人工智能.E-mail: xyh@zjou.edu.cn. (XU Youhong, born in 1969, master, associate professor. Her research interests include rough sets, granular computing and artificial intelligence. ) 顾沈明,男,1970年生,硕士,教授,主要研究方向为粒计算、粗糙集、数据挖掘、机器学习.E-mail: gsm@zjou.edu.cn. (GU Shenming, born in 1970, master, professor. His research interests include granular computing, rough sets, data mining and machine learning.)
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