Topics in Rough Set Theory. Current Applications to Granular Computing

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This book discusses current topics in rough set theory. Since Pawlak’s rough set theory was first proposed to offer a basis for imprecise and uncertain data and reasoning from data, many workers have investigated its foundations and applications. Examining various topical issues, including object-oriented rough set models, recommendation systems, decision tables, and granular computing, the book is a valuable resource for students and researchers in the field.

Author(s): Seiki Akama, Yasuo Kudo, Tetsuya Murai
Publisher: Springer
Year: 2020

Language: English
Pages: 208
Tags: Granular Computing, Rough Sets, Rough Set Theory

Front Matter ....Pages i-xv
Introduction (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 1-5
Overview of Rough Set Theory (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 7-60
Object Reduction in Rough Set Theory (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 61-70
Recommendation Method by Direct Setting of Preference Patterns Based on Interrelationship Mining (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 71-79
Rough-Set-Based Interrelationship Mining for Incomplete Decision Tables (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 81-99
A Parallel Computation Method for Heuristic Attribute Reduction Using Reduced Decision Tables (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 101-111
Heuristic Algorithm for Attribute Reduction Based on Classification Ability by Condition Attributes (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 113-127
An Evaluation Method of Relative Reducts Based on Roughness of Partitions (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 129-140
Neighbor Selection for User-Based Collaborative Filtering Using Covering-Based Rough Sets (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 141-159
Granular Computing and Aristotle’s Categorical Syllogism (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 161-172
A Modal Characterization of Visibility and Focus in Granular Reasoning (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 173-185
Directions for Future Work in Rough Set Theory (Seiki Akama, Yasuo Kudo, Tetsuya Murai)....Pages 187-198
Back Matter ....Pages 199-201