Granular, Fuzzy, and Soft Computing
Description
For this volume of ECSS, Second Edition, many entries have been updated to capture these new developments, together with new chapters on such topics as data clustering, outliers in data mining, qualitative fuzzy sets, and information flow analysis for security applications. Granulations can be seen as a natural and ancient methodology deeply rooted in the human mind. Many daily "things" are routinely granulated into sub "things": The topography of earth is granulated into hills, plateaus, etc., space and time are granulated into infinitesimal granules, and a circle is granulated into polygons of infinitesimal sides. Such granules led to the invention of calculus, topology and non-standard analysis. Formalization of general granulation was difficult but, as shown in this volume, great progress has been made in combing discrete and continuous mathematics under one roof for a broad range of applications in data science.
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Churn-Jung Liau received a B.S., an M.S. and a Ph.D in computer science and information engineering from National Taiwan University in 1985, 1987 and 1992 respectively. He then joined the Institute of Information Science, Academia Sinica, Taiwan and is currently a tenured full research fellow. His major research interest includes aaplied logic, artificial intelligence, and uncertainty reasoning.
Content
Cooperative Multi-hierarchical Query Answering Systems
Dependency and Granularity in Data -MiningFuzzy Logic
Fuzzy Probability TheoryFuzzy System Models Evolution from Fuzzy Rulebases to Fuzzy Functions
On Genetic-Fuzzy Data Mining TechniquesGranular Computing and Data Mining for Ordered Data: The Dominance-Based Rough Set Approach
Granular Computing, Information Models for
Granular Computing, Introduction to
Granular Computing and Modeling of the Uncertainty in Quantum Mechanics
Philosophical Foundation for Granular Computing
Granular Computing: Practices, Theories, and Future Directions
Granular Computing, Principles and Perspectives of
Granular Computing System Vulnerabilities: Exploring the Dark Side of Social Networking Communities
Granular Model for Data Mining
Granular Neural Networks
Granulation of Knowledge: Similarity Based Approach in Information and Decision Systems
Multi-Granular Computing and Quotient Structure
Non-standard Analysis, An Invitation to
Information System Design Using Fuzzy and Rough Set Theory
Rough Set Data Analysis
Rule Induction, Missing Attribute Values, and Discretization
Social Networks and Granular Computing
Rough Sets in Decision Making
Knowledge Engineering from Email Archives
Fuzzy Similarity for Parallel Function Computation Model
Mereology
Fuzzy Logic applied to Gestalt Visual Perception of Edges versus Texture; Human & Computer
Variable Precision Approximations in Rough Sets
Algebraic Models and Granular Computing
Set-Valued Mapping for Generalized Rough Approximation and Application to Clustering Algorithm
Fuzzy System Representations of Stochastic systems
Function Approximation Property of Fuzzy Systems and Its Error Analysis
Issues in Access Control and Privacy for Big Data
Security Situational Awareness: A Practical Approach for a Complex Heterogeneous Environment
Security with Privacy
Privacy Preservation in Big Data Analytics
Access Control for XML Big Data Applications
Approximate Arithmetics for Numerical Analysis
Some Remarks on The Foundations of Numerical Analysis
Aggregation Operators and Soft Computing
Evolving Fuzzy Systems
Fuzzy Logic, Type-2 and Uncertainty
Fuzzy Optimization
Foundations of Fuzzy Sets Theory
Hybrid Soft Computing Models for Systems Modeling and Control
Neuro-fuzzy Systems
Possibility Theory
Rough Sets: Foundations and Perspectives
Soft Computing, Introduction to
Statistics with Imprecise Data
Interval Computing
Some Remarks on the Foundations of Numerical Analysis