Handbook of Granular Computing (repost)
Handbook of Granular Computing
by Witold Pedrycz, Andrzej Skowron, Vladik Kreinovich
English | 2008 | ISBN: 0470035544, 9780470035542 | 1151 pages | PDF | 22.48 MB
by Witold Pedrycz, Andrzej Skowron, Vladik Kreinovich
English | 2008 | ISBN: 0470035544, 9780470035542 | 1151 pages | PDF | 22.48 MB
This book offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field. The book represents a significant and valuable contribution to the literature and will appeal to a broad audience including researchers, students and practitioners in the fields of Computational Intelligence, pattern recognition, fuzzy sets and neural networks, system modelling, operations research and bioinformatics
• Covers the foundations of granular computing, interval analysis and fuzzy set theory; hybrid methods and models of granular computing; and applications and case studies.
• Presents the flow of ideas in a systematic, well-organized manner, starting with the concepts and motivation and proceeding to detailed design that materializes in specific algorithms, applications and case studies.
• Provides the reader with a self-contained reference that includes all pre-requisite knowledge, augmented with step-by-step explanations of more advanced concepts.
Preface
Foreword
Biographies
Part One Fundamentals and Methodology of Granular Computing Based on Interval Analysis, Fuzzy Sets and Rough Sets
1 Interval Computation as an Important Part of Granular Computing: An Introduction
2 Stochastic Arithmetic as a Model of Granular Computing
3 Fundamentals of Interval Analysis and Linkages to Fuzzy Set Theory
4 Interval Methods for Non-Linear Equation Solving Applications
5 Fuzzy Sets as a User-Centric Processing Framework of Granular Computing
6 Measurement and Elicitation of Membership Functions
7 Fuzzy Clustering as a Data-Driven Development Environment for Information Granules
8 Encoding and Decoding of Fuzzy Granules
9 Systems of Information Granules
10 Logical Connectives for Granular Computing
11 Calculi of Information Granules. Fuzzy Relational Equations
12 Fuzzy Numbers and Fuzzy Arithmetic
13 Rough-Granular Computing
14 Wisdom Granular Computing
15 Granular Computing for Reasoning about Ordered Data: The Dominance-Based Rough Set Approach
16 A Unified Approach to Granulation of Knowledge and Granular Computing Based on Rough Mereology: A Survey
17 A Unified Framework of Granular Computing
18 Quotient Spaces and Granular Computing
19 Rough Sets and Granular Computing: Toward Rough-Granular Computing
20 Construction of Rough Information Granules
21 Spatiotemporal Reasoning in Rough Sets and Granular Computing
Part Two Hybrid Methods and Models of Granular Computing
22 A Survey of Interval-Valued Fuzzy Sets
23 Measurement Theory and Uncertainty in Measurements: Application of Interval Analysis and Fuzzy Sets Methods
24 Fuzzy Rough Sets: From Theory into Practice
25 On Type 2 Fuzzy Sets as Granular Models for Words
26 Design of Intelligent Systems with Interval Type-2 Fuzzy Logic
27 Theoretical Aspects of Shadowed Sets
28 Fuzzy Representations of Spatial Relations for Spatial Reasoning
29 Rough-Neural Methodologies in Granular Computing
30 Approximation and Perception in Ethology-Based Reinforcement Learning
31 Fuzzy Linear Programming
32 A Fuzzy Regression Approach to Acquisition of Linguistic Rules
33 Fuzzy Associative Memories and Their Relationship to Mathematical Morphology
34 Fuzzy Cognitive Maps
Part Three Applications and Case Studies
35 Rough Sets and Granular Computing in Behavioral Pattern Identification and Planning
36 Rough Sets and Granular Computing in Hierarchical Learning
37 Outlier and Exception Analysis in Rough Sets and Granular Computing
38 Information Access and Retrieval
39 Granular Computing in Medical Informatics
40 Eigen Fuzzy Sets and Image Information Retrieval
41 Rough Sets and Granular Computing in Dealing with Missing Attribute Values
42 Granular Computing in Machine Learning and Data Mining
43 On Group Decision Making, Consensus Reaching, Voting, and Voting Paradoxes under Fuzzy Preferences and a Fuzzy Majority: A Survey and a Granulation Perspective
44 FuzzJADE: A Framework for Agent-Based FLCs
45 Granular Models for Time-Series Forecasting
46 Rough Clustering
47 Rough Document Clustering and The Internet
48 Rough and Granular Case-Based Reasoning
49 Granulation in Analogy-Based Classification
50 Approximation Spaces in Conflict Analysis: A Rough Set Framework
51 Intervals in Finance and Economics: Bridge between Words and Numbers, Language of Strategy
52 Granular Computing Methods in Bioinformatics
Foreword
Biographies
Part One Fundamentals and Methodology of Granular Computing Based on Interval Analysis, Fuzzy Sets and Rough Sets
1 Interval Computation as an Important Part of Granular Computing: An Introduction
2 Stochastic Arithmetic as a Model of Granular Computing
3 Fundamentals of Interval Analysis and Linkages to Fuzzy Set Theory
4 Interval Methods for Non-Linear Equation Solving Applications
5 Fuzzy Sets as a User-Centric Processing Framework of Granular Computing
6 Measurement and Elicitation of Membership Functions
7 Fuzzy Clustering as a Data-Driven Development Environment for Information Granules
8 Encoding and Decoding of Fuzzy Granules
9 Systems of Information Granules
10 Logical Connectives for Granular Computing
11 Calculi of Information Granules. Fuzzy Relational Equations
12 Fuzzy Numbers and Fuzzy Arithmetic
13 Rough-Granular Computing
14 Wisdom Granular Computing
15 Granular Computing for Reasoning about Ordered Data: The Dominance-Based Rough Set Approach
16 A Unified Approach to Granulation of Knowledge and Granular Computing Based on Rough Mereology: A Survey
17 A Unified Framework of Granular Computing
18 Quotient Spaces and Granular Computing
19 Rough Sets and Granular Computing: Toward Rough-Granular Computing
20 Construction of Rough Information Granules
21 Spatiotemporal Reasoning in Rough Sets and Granular Computing
Part Two Hybrid Methods and Models of Granular Computing
22 A Survey of Interval-Valued Fuzzy Sets
23 Measurement Theory and Uncertainty in Measurements: Application of Interval Analysis and Fuzzy Sets Methods
24 Fuzzy Rough Sets: From Theory into Practice
25 On Type 2 Fuzzy Sets as Granular Models for Words
26 Design of Intelligent Systems with Interval Type-2 Fuzzy Logic
27 Theoretical Aspects of Shadowed Sets
28 Fuzzy Representations of Spatial Relations for Spatial Reasoning
29 Rough-Neural Methodologies in Granular Computing
30 Approximation and Perception in Ethology-Based Reinforcement Learning
31 Fuzzy Linear Programming
32 A Fuzzy Regression Approach to Acquisition of Linguistic Rules
33 Fuzzy Associative Memories and Their Relationship to Mathematical Morphology
34 Fuzzy Cognitive Maps
Part Three Applications and Case Studies
35 Rough Sets and Granular Computing in Behavioral Pattern Identification and Planning
36 Rough Sets and Granular Computing in Hierarchical Learning
37 Outlier and Exception Analysis in Rough Sets and Granular Computing
38 Information Access and Retrieval
39 Granular Computing in Medical Informatics
40 Eigen Fuzzy Sets and Image Information Retrieval
41 Rough Sets and Granular Computing in Dealing with Missing Attribute Values
42 Granular Computing in Machine Learning and Data Mining
43 On Group Decision Making, Consensus Reaching, Voting, and Voting Paradoxes under Fuzzy Preferences and a Fuzzy Majority: A Survey and a Granulation Perspective
44 FuzzJADE: A Framework for Agent-Based FLCs
45 Granular Models for Time-Series Forecasting
46 Rough Clustering
47 Rough Document Clustering and The Internet
48 Rough and Granular Case-Based Reasoning
49 Granulation in Analogy-Based Classification
50 Approximation Spaces in Conflict Analysis: A Rough Set Framework
51 Intervals in Finance and Economics: Bridge between Words and Numbers, Language of Strategy
52 Granular Computing Methods in Bioinformatics
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