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Incomplete Information System and Rough Set Theory : Models and Attribute Reductions.

Author: Xibei Yang; Jingyu Yang
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edition/Format:   Print book : Document   Computer File : English
Database:WorldCat
Summary:
"Incomplete Information System and Rough Set Theory: Models and Attribute Reductions" covers theoretical study of generalizations of rough set model in various incomplete information systems. It discusses not only the regular attributes but also the criteria in the incomplete information systems. Based on different types of rough set models, the book presents the practical approaches to compute several reducts in  Read more...
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Genre/Form: Electronic books
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Xibei Yang; Jingyu Yang
ISBN: 3642259340 9783642259340
OCLC Number: 990397158
Language Note: English.
Notes: Description based upon print version of record.
Chapter 3 Neighborhood System and Rough Set in Incomplete Information System
Description: 1 online resource (237 p.)
Contents: Title Page; Copyright Page; Foreword; Preface; Acknowledgements; Table of Contents; 3.1.5 Neighborhood System and Topological Space; Part I Indiscernibility Relation Based Rough Sets; Chapter 1 Indiscernibility Relation, Rough Sets and Information System; 1.1 Pawlak's Rough Approximation; 1.1.1 Rough Set; 1.1.2 Uncertainty Measurements and Knowledge Granulation; 1.1.2.1 Accuracy of Approximation and Rough Accuracy; 1.1.2.2 Knowledge Granulation; 1.1.3 Knowledge Reductions; 1.1.3.1 Reduct of Indiscernibility Relation; 1.1.3.2 Relative Reduct of Positive Region; 1.1.4 Knowledge Dependency 1.2 Variable Precision Rough Set1.2.1 Inclusion Error and Variable Precision Rough Set; 1.2.2 Several Reducts in Variable Precision Rough Set; 1.3 Multigranulation Rough Set; 1.3.1 Optimistic Multigranulation Rough Set; 1.3.2 Pessimistic Multigranulation Rough Set; 1.3.3 Multigranulation Rough Memberships; 1.4 Hierarchical Structures on Multigranulation Spaces; 1.4.1 Definitions of Three Hierarchical Structures; 1.4.2 Relationships Between Hierarchical Structures and Multigranulation Rough Sets; 1.5 Information System; 1.5.1 Information System and Rough Set 1.5.2 Rough Sets in Multiple-source Information Systems1.5.3 Several Reducts in Decision System; 1.6 Conclusions; References; Part II Incomplete Information Systems and Rough Sets; Chapter 2 Expansions of Rough Sets in Incomplete Information Systems; 2.1 Tolerance Relation Based Rough Set Approach; 2.1.1 Tolerance Relation and Its Reducts; 2.1.2 Tolerance Relation Based Rough Set and Generalized Decision Reduct; 2.2 Valued Tolerance Relation Based Rough Set Approach; 2.2.1 Valued Tolerance Relation; 2.2.2 Valued Tolerance Relation Based Fuzzy Rough Set 2.3 Maximal Consistent Block Based Rough Set Approach2.3.1 Maximal Consistent Block and Its Reducts; 2.3.2 Maximal Consistent Block Based Rough Set and Approximate Distribution Reducts; 2.4 Descriptor Based Rough Set; 2.4.1 Descriptor and Reduct Descriptor; 2.4.2 Descriptor Based Rough Set and Generalized Decision Reduct of Descriptor; 2.5 Similarity Relation Based Rough Set Approach; 2.5.1 Similarity Relation and Similarity Based Rough Set; 2.5.2 Approximate Distribution Reducts in Similarity Relation Based Rough Set; 2.6 Difference Relation Based Rough Set Approach 2.6.1 Difference Relation and Its Reducts2.6.2 Rough Set Based on Difference Relation; 2.6.3 Approximate Distribution Reducts in Difference Relation Based Rough Set; 2.7 Limited Tolerance Relation Based Rough Set Approach; 2.7.1 Limited Tolerance Relation; 2.7.2 Limited Tolerance Relation Based Rough Set; 2.8 Characteristic Relation Based Rough Set Approach; 2.8.1 Characteristic Relation and Characteristic Relation Based Rough Set; 2.8.2 Approximate Distribution Reducts in Characteristic Relation Based Rough Set; 2.9 Conclusions; References
Other Titles: Incomplete Information System and Rough Set Theory

Abstract:

"Incomplete Information System and Rough Set Theory: Models and Attribute Reductions" covers theoretical study of generalizations of rough set model in various incomplete information systems. It discusses not only the regular attributes but also the criteria in the incomplete information systems. Based on different types of rough set models, the book presents the practical approaches to compute several reducts in terms of these models. The book is intended for researchers and postgraduate students in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, and granular computing. Dr. Xibei Yang is a lecturer at the School of Computer Science and Engineering, Jiangsu University of Science and Technology, China; Jingyu Yang is a professor at the School of Computer Science, Nanjing University of Science and Technology, China.

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