
Rough Sets and Knowledge Technology
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Content
- Title
- Preface
- Organization
- Table of Contents
- Part I: Rough Sets and Its Generalizations
- A Characterization of Rough Separability
- Introduction
- Rough Sets and Indiscernibility Relations
- Rough Separability and Pseudometric Spaces
- Pseudometrics Determined by Families of Sets
- Equivalence of Pseudometric Spaces
- Conclusions
- References
- Data-Driven Valued Tolerance Relation
- Introduction
- Valued Tolerance Relation
- Data-Driven Valued Tolerance Relation
- Calculation of Tolerance Degree
- Auto-selection of Threshold
- Experiment Results
- Conclusions
- References
- Optimistic Multi-Granulation Fuzzy Rough Set Model Based on Triangular Norm
- Introduction
- The Rough Set Based on Triangular Norm
- Optimistic Multi-Granulation Fuzzy Rough Set Based on Triangular Norm
- Conclusions
- References
- Rough Set Model Based on Hybrid Tolerance Relation
- Introduction
- Preliminaries
- Strong and Weak Indiscernibility Relations
- Incomplete Information System and Tolerance Relations
- Weak Tolerance Relations
- Hybrid Tolerance Relation and Decision Rule
- Hybrid Tolerance Relation
- Decision Rule
- Conclusions
- References
- Scalable Improved Quick Reduct: Sample Based
- Introduction
- Overview of IQRA and IQRA_IG Algorithms
- Proposed SGIQRA_IG Algorithm
- Experiments and Results
- Analysis of Results
- Conclusion
- References
- Soft Rough Sets Based on Similarity Measures
- Introduction
- Preliminaries
- Analysis of Soft Rough Approximations
- Soft Fuzzy Rough Sets Based on Similarity Measures
- Concluding Remarks
- References
- Theory of Truth Degrees in Three Valued Formed System RSL
- Introduction
- Basic of Rough Set and Formed System RSL
- The Theory of Truth Degree
- Similarity Degree and a Pseudo-metric among Formulas
- Conclusion
- References
- Upper Approximation Reduction Based on Intuitionistic Fuzzy T Equivalence Information Systems
- Introduction
- Intuitionistic Fuzzy Rough Sets and Intuitionistic Fuzzy T Equivalence Information Systems
- Upper Approximation Reduction in IF T Equivalence Information Systems with Decision
- An Illustrated Example
- Conclusions
- References
- Part II: Rough Sets in Data and Knowledge Processing
- A Fuzzy-Rough Sets Based Compact Rule Induction Method for Classifying Hybrid Data
- Introduction
- Preliminary Notion of Rough Sets Based Rule Induction Method
- Fuzzy Rough Sets Based Compact Rule Learner
- Experiments and Discussion
- Conclusion
- References
- A New Intuitionistic Fuzzy Rough Set Approach for Decision Support
- Introduction
- Preliminaries
- Dominance-Based Rough Set Approach
- Intuitionistic Fuzzy Theory
- Uncertain Rule Induction
- Believe Factor
- Measurements
- Believable Rule Induction
- Illustrative Example
- Decision Table and Rough Approximations
- Believable Rule Induction
- Verification of Sorting Capability
- Conclusion
- References
- A New Rule Induction Method from a Decision Table Using a Statistical Test
- Introduction
- Model of Data Generation
- Proposal of Rule Estimation Method by Statistical Test
- Algorithm for Rule Induction
- Experimental Studies
- Conclusions
- References
- A Rough Neurocomputing Approach for Illumination Invariant Face Recognition System
- Introduction
- Rough Set Theory (RST)
- Proposed RNRS Architecture
- Design of ADNN
- Approximation Neuron
- Decider Neuron
- Architecture of ADNN
- Experimental Results
- Conclusion
- References
- An Approximation Decision Entropy Based Decision Tree Algorithm and Its Application in Intrusion Detection
- Introduction
- Preliminaries
- Approximation Decision Entropy
- Decision Tree Algorithm DTADE
- Experimental Results
- Conclusion
- References
- Application of Rough Set Theory to Prediction of Antimicrobial Activity of Bis-quaternary Ammonium Chlorides
- Introduction
- Material and Methods
- Material
- Discovery of Decision Rules Using DRSA
- Attribute Relevance
- Results and Discussion
- References
- Classification and Decision Based on Parallel Reducts and F-Rough Sets
- Introduction
- F-Rough Sets and Parallel Reducts
- Three Types of Classification(Decision) Based on Parallel Reducts and F-Rough Sets
- Specific Decision Subsystem
- Decision Subsystem Selected Randomly
- Deciding by a Majority Vote
- Conclusion
- References
- Evidential Clustering or Rough Clustering: The Choice Is Yours
- Introduction
- Similarities between ECM and RKM
- Strengths of ECM
- Strengths of RKM
- Conclusion
- References
- Heuristic for Attribute Selection Using Belief Discernibility Matrix
- Introduction
- Rough Set Theory
- Belief Function Theory
- Heuristic for Attribute Selection Method Using Belief Discernibility Matrix
- Uncertain Decision Table
- Feature Selection with Johnson´s Heuristic Algorithm
- Belief Discernibility Matrix
- Belief Rough Set Classifier
- Experimental Results
- Conclusion and Future Work
- References
- Incremental Rules Induction Based on Rule Layers
- Introduction
- Rough Sets and Probabilistic Rules
- Rough Set Theory
- Probabilistic Rules
- Problems in Incremental Rule Induction
- Theory for Incremental Learning
- Both: Negative
- R: Positive
- d: Positive
- d: Positive
- Updates of Accuracy and Coverage
- An Algorithm for Incremental Learning
- Algorithm
- Experimental Results
- Conclusion
- References
- Optimization of Inhibitory Decision Rules Relative to Length and Coverage
- Introduction
- Nonredundant Decision Rules
- Directed Acyclic Graph (T)
- Procedures of Optimization Relative to Length and Coverage
- Experimental Results
- Conclusions
- References
- Parallelized Computing of Attribute Core Based on Rough Set Theory and MapReduce
- Introduction
- Parallel Algorithm for Computing Attribute Core Based on Rough Set and MapReduce
- Experiments and Discussion
- Case Study
- Comparative Experiments for Efficiency of the Proposed Algorithm
- Conclusion
- References
- Semi-supervised Vehicle Recognition: An Approximate Region Constrained Approach
- Introduction
- Semi-supervised Learning Based on Approximate Region Constraints (SsL-ARC)
- SsL-ARC Algorithm Framework
- Approximate Region Constraints
- Experiments
- Conclusions
- References
- Part III: Knowledge Technology
- A Color Image Segmentation Algorithm by Integrating Watershed with Region Merging
- Introduction
- Watershed Algorithm
- Merger of the Image Regions
- Distance Metric between Graph Regions
- Merger Algorithm of the Image Regions
- Experimental Results and Analysis
- Conclusion
- References
- A Mixed Strategy Multi-Objective Coevolutionary Algorithm Based on Single-Point Mutation and Particle Swarm Optimization
- Introduction
- Multi-Objective Optimization Problems
- Multi-Objective Coordination Operator Evolutionary Programming Based on Single Point and PSO Operator
- Mixed Strategy
- Maintenance of External Archive
- Algorithm Description
- The Experimental Results
- Experiment Setting
- Results and Analysis
- Summary
- References
- A Novel Distributed Machine Learning Method for Classification: Parallel Covering Algorithm
- Introduction
- Covering Algorithm Overview
- Learn Procedure
- Classification
- Parallel Covering Algorithm
- Experiments and Analysis
- Uniprocessor Environment
- Multi-core Parallel Computing Environment
- Conclusion
- References
- A Spatial Clustering Method for Points-with-Directions
- Introduction
- Related Work
- Points-with-Directions Clustering
- Problem Definition
- Spatial Clustering Method for Points-with-Directions
- The Limitations of PDC
- PDC+
- Experimental Evaluation
- Conclusions and Future Work
- References
- An Argumentation Framework for Non-monotonic Reasoning in Description Logic
- Introduction
- The Description Logic ALC
- Defeasible ALC
- Inductive Terminologies
- Conclusion and Future Work
- References
- Analysis of Symmetry Properties for Bayesian Confirmation Measures
- Introduction
- Preliminaries
- Property of Bayesian Confirmation
- Properties of Symmetry
- A New Set of Symmetry Properties
- Conclusions
- References
- Applying Verbal Decision Analysis in Selecting Specific Practices of CMMI
- Introduction
- Verbal Decision Analysis: Overview and Application
- Conclusions, Future Works and Acknowledgment
- References
- Belief Networks in Classification of Laryngopathies Based on Speech Spectrum Analysis
- Introduction
- Laryngopathy Data
- Theoretical Foundations of BeliefSEEKER
- Experiments
- Conclusions
- References
- Comparing Similarity of Concepts Identified by Temporal Patterns of Terms in Biomedical Research Documents
- Introduction
- A Method for Analyzing Distances on Taxonomy and Temporal Patterns of Term Usage
- Obtaining Temporal Patterns of Data-Driven Indexes Related to Term Usages
- Defining Similarity of Terms on a Structured Taxonomy
- Analyzing Similarity of Terms in Temporal Patterns of Medical Research Documents
- Analysis of Disease over Time
- Obtaining Temporal Patterns of Medical Terms about Migraine Drug Therapy Studies
- Similarity of the Terms in Obtained Temporal Patterns on MeSH
- Conclusion
- References
- Extracting Incidental and Global Knowledge through Compact Pattern Trees in Distributed Environment
- Introduction
- An Overview of Compact Pattern Tree
- Global Rules from Distributed Compact Pattern Tree
- Extraction of Local and Global Rules
- Algorithms and Illustrations of Proposed Methodology
- Experimental Results
- Conclusion
- References
- Hierarchical Path-Finding Based on Decision Tree
- Introduction
- Related Work
- Problem Formulation
- Influence of Terrain to A*
- Map Division Is a Classification Problem
- Hierarchical Path-Finding Based on Decision Tree
- Handing Continuous-Valued Attributes
- Stopping Criterion
- Attribute Selection Measure
- Online Path-Finding
- Empirical Study
- Conclusions and Future Work
- References
- Human Activity Recognition with Trajectory Data in Multi-floor Indoor Environment
- Introduction
- Related Work
- Problem and Challenges
- Human Activity Recognition from Trajectory Data
- Semantic Indoor Trajectory Model
- Activity Recognition Model
- Experiments and Evaluation
- Conclusions
- References
- Remote Sensing Image Data Storage and Search Method Based on Pyramid Model in Cloud
- Introduction
- Background
- Multiresolution Pyramid and Image Block Technology
- File Organization and Programming Model in Cloud
- Related Work of Massive Image Data
- The Image Data Storage and Search Method Based on MapReduce
- The MapReduce Programming Paradigm
- Tiles Encoding Method
- Mapping Method between Tile Layers
- Process of Image Data Storage and Search
- Algorithm Complexity Analysis
- Experiment Environment and Datasets Analysis
- Experiment Environment and Datasets
- The I/O Performance Test
- Conclusion
- References
- Learning to Classify Service Data with Latent Semantics
- Introduction
- Our Approach
- Evaluation
- Dataset Description
- Comparison of Clustering Methods
- Analysis of Multiclass Classification Performance
- Discussion
- Conclusions
- References
- Link Communities Detection via Local Approach
- Introduction
- Community Detection
- Problem Definition
- LBLC Algorithm
- Local Based Link Community Detection (LBLC)
- Description of LBLC Algorithm
- Evaluation of Link Community
- Experiments
- Computer-Generated Networks
- Real-World Networks
- Conclusion
- References
- Maximizing Influence Spread in a New Propagation Model
- Introduction
- Layered Network and Layered Cascade Model
- Layered Network
- Layered Cascade Model
- Information Propagation in Network
- Role of Edges in Networks
- Information Propagation in LC Model
- Influence Maximization Problem
- Experiment
- Experiment Setup
- Experiment Results
- Discussion on the Results
- Conclusions
- References
- Semi-supervised Clustering Ensemble Based on Multi-ant Colonies Algorithm
- Introduction
- Ant Colony Clustering with Pairwise Constraints
- Semi-supervised Clustering Ensemble
- Experimental Results
- Conclusion
- References
- Semi-supervised Hierarchical Co-clustering
- Introduction
- Feature Clustering
- Similarity Measurement
- Hierarchical Co-clustering
- Experiments Evaluation
- Data Preprocessing
- Experiment Process
- Experiment Results
- Conclusion
- References
- Part IV: Workshop: Advances in Granular Computing, 2012 (AGC2012)
- A Granular Computing Perspective on Image Organization within an Image Retrieval Context
- Introduction
- Fundamentals of Image Retrieval
- Granular Organization of Images
- Feature Vector Generation
- Similarity-Based Image Organization
- Hierarchical Structure of Image Space
- Granular Interaction Mechanisms
- Support for Intelligent Decision-Making
- Conclusion
- References
- Granular Computing in Opinion Target Extraction
- Introduction
- Preliminaries
- Algorithm
- The Algorithm to Compute the Features of the Words
- Extracting the Opinion Target with Neural Network
- Experiment
- Data Set
- Experiment Result
- Conclusion
- References
- Granular Covering Selection Methods Dependent on the Granule Size
- Introduction
- Granular Rough Computing
- Covering Finding Methods
- Covering by Granules with Minimal Size
- Covering by Granules with Average Size
- Covering by Granules of Maximal Size
- Experimental Session
- Conclusions
- References
- Rough Set Approximations in Incomplete Multi-scale Information Systems
- Introduction
- Classical Rough Sets and Information Systems
- Pawlak Rough Sets
- Information Systems
- Multi-scale Information Systems
- Complete Multi-scale Information Systems
- Incomplete Multi-scale Information Systems
- Properties of Rough Set Approximations
- Conclusion
- References
- Three Granular Structure Models in Graphs
- Purpose of the Study
- Related Studies
- Granules and Granular Structures
- Three Granular Structure Models in Graphs
- Vertex-Oriented Granular Structure Model in Graphs
- Edge-Oriented Granular Structure Model in Graphs
- Combination-Oriented Granular Structure Model in Graphs
- Conclusion
- References
- Part V: Special Session: Decision-Theoretic Rough Set Model and Applications
- A Competition Strategy to Cost-Sensitive Decision Trees
- Introduction
- Related Works
- The Data Model
- Computation of the Average Cost
- Related Algorithms
- New Algorithms
- -ID3
- The Post-prune Technique
- The Competition Strategy
- Experiments
- Conclusions and Further Works
- References
- An Information-Theoretic Interpretation of Thresholds in Probabilistic Rough Sets
- Introduction
- An Overview of Probabilistic Rough Sets
- Three Probabilistic Regions Defined by a Pair of Thresholds
- Thresholds and Classification Errors and Costs
- Determination of Thresholds
- An Information-Theoretic Interpretation
- Shannon Entropy of a Partition
- Uncertainties of Three Probabilistic Regions
- Determining Optimal Thresholds by Entropy Minimization
- An Example
- Conclusion
- References
- Cost-Sensitive Classification Based on Decision-Theoretic Rough Set Model
- Introduction
- Decision-Theoretic Rough Set Model
- Cost-Sensitive Classification Based on DTRS
- Experimental Analysis
- Conclusion
- References
- Decision-Theoretic Rough Sets with Probabilistic Distribution
- Introduction
- Preliminaries
- Probabilistic Distribution
- Decision-Theoretic Rough Sets
- Extension of Decision-Theoretic Rough Set Models
- Decision-Theoretic Rough Sets with Uniform Distribution
- Decision-Theoretic Rough Sets with Normal Distribution
- An Illustration
- Conclusions
- References
- Multiple Criteria Decision Analysis with Game-Theoretic Rough Sets
- Introduction
- Overview of Game-Theoretic Rough Sets
- The GTRS Based Framework for Multiple Criteria Decision Analysis
- Multiple Criteria as Players in a Game
- Strategies in Multiple Criteria Analysis
- Payoff Functions for Analyzing Strategies
- Implementing Competition for Effective Solutions
- A Confidence versus Coverage Game Example
- Conclusion
- References
- Part VI: Special Session: Intelligent Decision-Making and Granular Computing
- Granularity Analysis of Fuzzy Soft Set
- Introduction
- Preliminaries
- -Dominance Class on the Possibility Degree of FSs
- Standardized Methods of the Fuzzy Soft Set
- The Possibility Degree of FSs
- -Dominance Class and -Covering Approximation Space
- Variable Precision Granularity Analysis Based on -Covering Approximation Space
- Illustrative Examples
- Conclusions
- References
- Granular Approach in Knowledge Discovery
- Introduction
- Granular Computing Approach in Solving the Problem
- Description of the Method
- Granules Generation
- The Blockage Prediction
- Experimental Verification
- Conclusions
- References
- Hybrid: A New Multigranulation Rough Set Approach
- Introduction
- Multigranulation Rough Sets
- Optimistic Multigranulation Rough Set
- Pessimistic Multigranulation Rough Set
- Hybrid Multigranulation Approach to Rough Set
- Conclusions
- References
- Inclusion Degrees of Graded Ill-Known Sets
- Introduction
- Graded Ill-Known Sets
- Inclusion Degrees of Graded Ill-Known Sets
- A Simple Example
- References
- Information Granularity and Granular Structure in Decision Making
- Introduction
- Weights Acquisition Based on Information Granularity
- The Partial Granular Structure in Preference Relation
- Multiplicative Preference Relation and Fuzzy Preference Relation
- Partial Granular Structure
- Conclusions
- References
- Semi-supervised Clustering Ensemble Based on Collaborative Training
- Introduction
- Related Work
- Clustering Ensemble
- Semi-supervised Learning
- Collaborative Training
- Semi-supervised Clustering Ensemble Model Based on Collaborative Training
- Base Clustering Components Generation
- Using Tri-training as Consensus
- Semi-supervised Clustering Ensemble Model Based on Collaborative Training
- Unsupervised Clustering Ensemble Model Based on Collaborative Training
- Experiments
- Dataset
- Experiment Methodology
- Results
- Conclusion
- References
- Soft Set Approaches to Decision Making Problems
- Introduction
- Soft Sets and Fuzzy Soft Sets
- Analysis of the Existing Approaches
- Choice Value Based Approach
- Comparison Score Based Approach
- Approaches for Incomplete Information
- Conclusions
- References
- The Models of Variable PrecisionMultigranulation Rough Sets
- Introduction
- VPRS and MGRS
- Variable Precision Rough Set
- Multigranulation Rough Set
- Variable Precision Multigranulation Rough Sets
- Variable Precision Optimistic Multigranulation Rough Sets
- Variable Precision Pessimistic Multigranulation Rough Sets
- Relationships among Several Models
- Conclusions
- References
- Topological Properties of the Pessimistic Multigranulation Rough Set Model
- Introduction
- Review of Multigranulation Rough Set Model
- Topological Properties of the Pessimistic Multigranulation Rough Set Model
- Concluding Remarks
- References
- Part VII: Special Session: Rough Set Foundations
- Axiomatic Granular Approach to Knowledge Correspondences
- Introduction
- General Rough Y-Systems - A First Order Approach
- Sub-Natural Correspondences (SNC) across RYS
- References
- Definable and Rough Sets in Covering-Based Approximation Spaces
- Introduction
- Definable Sets and Their Algebraic Structure
- Approximations of Sets
- Comparison with Other Neighborhood Based Operators
- Rough Sets and Their Algebraic Structure
- Conclusions
- References
- Intuitionistic Fuzzy Topologies in Crisp Approximation Spaces
- Introduction
- Basic Notions of Intuitionistic Fuzzy Sets
- Rough Intuitionistic Fuzzy Sets
- Basic Concepts of Intuitionistic Fuzzy Topological Spaces
- Intuitionistic Fuzzy Topologies of Rough Intuitionistic Fuzzy Sets
- Conclusion
- References
- Oppositions in Rough Set Theory
- Introduction
- Preliminary Notions
- Oppositions and Geometrical Organization
- Rough Sets
- Opposition from Approximations
- Opposition from Relations
- Tetrahedron from Two Relations
- Conclusions
- References
- Partial First-order Logic with Approximative Functors Based on Properties
- Introduction
- Tool-based Partial First-order Logic (TbPFoL) with Approximative Functors
- Language of TbPFoL with Approximative Functors
- Interpretations of TbPFol with Approximation Functors
- Generated Tool-based General Partial Approximation Spaces
- Semantic Rules of TbPFoL with Approximative Functors
- Theorems of Representations
- Conclusion
- References
- Author Index
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