Granular, Fuzzy, and Soft Computing

ISBN-13: 9781071626276 / Angielski / Twarda / 2023 / 850 str.

Tsau-Young Lin; Churn-Jung Liau; Janusz Kacprzyk

Opis

The first edition of the Encyclopedia of Complexity and Systems Science (ECSS, 2009) presented a comprehensive overview of granular computing (GrC) broadly divided into several categories: Granular computing from rough set theory, Granular Computing in Database Theory, Granular Computing in Social Networks, Granular Computing and Fuzzy Set Theory, Grid/Cloud Computing, as well as general issues in granular computing. In 2011, the formal theory of GrC was established, providing an adequate infrastructure to support revolutionary new approaches to computer/data science, including the challenges presented by so-called big data. 

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.   

Spis treści

Cooperative Multi-hierarchical Query Answering Systems

Dependency and Granularity in Data -Mining

Fuzzy Logic

Fuzzy Probability Theory

Fuzzy System Models Evolution from Fuzzy Rulebases to Fuzzy Functions

On Genetic-Fuzzy Data Mining Techniques

Granular 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

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

A theory of approximate computing in numerical analysis

Interval Computing

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

Some Remarks on the Foundations of Numerical Analysis

O autorze

Tsau-Young Lin holds a Ph.D. from Yale University and is Professor of Computer Science at San Jose State University. He has published over 250 papers and has edited a number of books. Prof. Lin coined the term Granular Computing (GrC) and has researched the subject for the past two decades. He is Founding President of the Rough Set Society and President of the GrC Society. His areas of expertise include data science (deep data analysis, data/knowledge mining, uncertainty), topology-based computing (algebraic, geometric, point set), granular and rough computing, and cyber security.

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.

Janusz Kacprzyk is Professor of Computer Science at the Systems Research Institute, Polish Academy of Sciences, WIT – Warsaw School of Information Technology, and Chongqing Three Gorges University, Wanzhou, Chinqgqung, China, and Professor of Automatic Control at PIAP – Industrial Institute of Automation and Measurements. He is Honorary Foreign Professor at the Department of Mathematics, Yli Normal University, Xinjiang, China. He is Full Member of the Polish Academy of Sciences, Member of Academia Europaea, European Academy of Sciences and Arts, European Academy of Sciences, Foreign Member of the: Bulgarian Academy of Sciences, Spanish Royal Academy of Economic and Financial Sciences (RACEF), Finnish Society of Sciences and Letters, and Flemish Royal Academy of Belgium of Sciences and the Arts (KVAB). He was awarded with 4 honorary doctorates. He is Fellow of IEEE, IET, IFSA, EurAI and SMIA.

His main research interests include the use of modern computation computational and artificial intelligence tools, notably fuzzy logic, in systems science, decision making, optimization, control, data analysis and data mining, with applications in mobile robotics, systems modeling, ICT etc.

He authored 7 books, (co)edited more than 100 volumes, (co)authored more than 600 papers, including ca. 80 in journals indexed by the WoS. His bibliographic data are: Google Scholar: citations: 28094; h-index: 74, Scopus: citations: citations: 8416; h-index: 40, ResearcherID (M-9574-2014): citations: 9014; h-index=42 and Web of Science: citations: 6696 (5517 without self-citations) h-index: 34.

He is the editor in chief of 7 book series at Springer, and of 2 journals, and is on the editorial boards of ca. 40 journals.. He is President of the Polish Operational and Systems Research Society and Past President of International Fuzzy Systems Association.