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Strategic Study of CAE >> 2004, Volume 6, Issue 12

A Decision-making Method Based on Fuzzy Sets and Rough Sets Theory

1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

2. North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China

Funding project:国家自然科学基金资助项目(10071074);国家博士学科点科研基金资助项目(20020287001);江苏省自然科学基金重点资助项目(BK2003211);河南省自然科学基金资助项目(2003120001) Received: 2003-11-11 Revised: 2004-01-17 Available online: 2004-11-20

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Abstract

In this paper, a combined decision-making model is presented for dealing with uncertain and imprecise problems, based on the difference between fuzzy sets and rough sets theories. The model is firstly to classify the uncertain examples given using fuzzy clustering analysis, to make a decision table specified,and then to simplify the decision table by means of the rough sets theory. It gives all possible minimal decision algorithms associated with the decision table. These decision algorithms have found application in larger field.

References

[ 1 ] ZadehLA .Fuzzysets[J].InformationandControl, 1965, (8) :338~353

[ 2 ] 陈有安, 郑丕谔, 李光泉.粗糙度量和模糊信息颗粒化[J].系统工程学报, 2001, 16 (4) :241~247 link1

[ 3 ] 朱剑英.智能系统非经典数学方法[M ].武汉:华中科技大学出版社, 2001, 138~141 link1

[ 4 ] 刘叙华.模糊逻辑与模糊推理[M].长春:吉林大学出版社, 1989 link1

[ 5 ] PawlakZ .RoughSetsTheoreticalAspectsofReasoningAboutData[M ].KluwerAcademicPublishers, Dordrecht, 1991

[ 6 ] 刘 清.Rough集及Rough推理[M ].北京:科学技术出版社, 2001 link1

[ 7 ] TanakaT , IshibuchiH , MatsudaN .Fuzzyexpertsystembasedonroughsetsanditsapplicationtomedicaldiagnosis[J].InternationalJournalofGeneralSystems, 1992, 21:83~97

[ 8 ] 张文修, 吴伟志, 梁吉业, 等.粗糙集理论与方法[M].北京:科学技术出版社, 2001 link1

[ 9 ] AdamM , LeszekP .Knowledgerepresentationinfuzzyandroughcontrollers[J ].FundamentaInformaticae1994, 30:299~311

[10] 王国胤.Rough集理论与知识获取[M ].西安:西安交通大学出版社, 2001 link1

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