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Handbook of Granular Computing

Witold Pedrycz (Editor), Andrzej Skowron (Co-Editor), Vladik Kreinovich (Co-Editor)
ISBN: 978-0-470-03554-2
1148 pages
August 2008
Handbook of Granular Computing (0470035544) cover image
Although the notion is a relatively recent one, the notions and principles of Granular Computing (GrC) have appeared in a different guise in many related fields including granularity in Artificial Intelligence, interval computing, cluster analysis, quotient space theory and many others. Recent years have witnessed a renewed and expanding interest in the topic as it begins to play a key role in bioinformatics, e-commerce, machine learning, security, data mining and wireless mobile computing when it comes to the issues of effectiveness, robustness and uncertainty.

The Handbook of Granular Computing offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field.  

  • Includes chapters covering the foundations of granular computing, interval analysis and fuzzy set theory; hybrid methods and models of granular computing; and applications and case studies.
  • Divided into 5 sections: Preliminaries, Fundamentals, Methodology and Algorithms, Development of Hybrid Models 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.

The Handbook of Granular Computing 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. 

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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 (Vladik Kreinovich).

2 Stochastic Arithmetic as a Model of Granular Computing (Ren├ Alt and Jean Vignes).

3 Fundamentals of Interval Analysis and Linkages to Fuzzy Set Theory (Weldon A. Lodwick).

4 Interval Methods for Non-Linear Equation Solving Applications (Courtney Ryan Gwaltney, Youdong Lin, Luke David Simoni, and Mark Allen Stadtherr).

5 Fuzzy Sets as a User-Centric Processing Framework of Granular Computing (Witold Pedrycz).

6 Measurement and Elicitation of Membership Functions (Taner Bilgi├ž and ─░. Burhan T├╝rk┼ en).

7 Fuzzy Clustering as a Data-Driven Development Environment for Information Granules (Paulo Fazendeiro and Jos├ Valente de Oliveira).

8 Encoding and Decoding of Fuzzy Granules (Shounak Roychowdhury).

9 Systems of Information Granules (Frank Hoeppner and Frank Klawann).

10 Logical Connectives for Granular Computing (Erich Peter Klement, Radko Mesiar, Andrea Mesiarová-Zemánková and Susanne Saminger-Platz).

11 Calculi of Information Granules. Fuzzy Relational Equations (Siegfried Gottwald).

12 Fuzzy Numbers and Fuzzy Arithmetic (Luciano Stefanini, Laerte Sorini, and Maria Letizia Guerra).

13 Rough-Granular Computing (Andrzej Skowron and James F. Peters).

14 Wisdom Granular Computing (Andrzej Jankowski and Andrzej Skowron).

15 Granular Computing for Reasoning about Ordered Data: The Dominance-Based Rough Set Approach (Salvatore Greco, Benedetto Matarazzo, and Roman Slowi┼ ski).

16 A Unified Approach to Granulation of Knowledge and Granular Computing Based on Rough Mereology: A Survey (Lech Polkowski).

17 A Unified Framework of Granular Computing (Yiyu Yao).

18 Quotient Spaces and Granular Computing (Ling Zhang and Bo Zhang).

19 Rough Sets and Granular Computing: Toward Rough-Granular Computing (Andrzej Skowron and Jaroslaw Stepaniuk).

20 Construction of Rough Information Granules (Anna Gomoli┼ ska).

21 Spatiotemporal Reasoning in Rough Sets and Granular Computing (Piotr Synak).

Part Two Hybrid Methods and Models of Granular Computing.

22 A Survey of Interval-Valued Fuzzy Sets (Humberto Bustince, Javier Montero, Miguel Pagola, Edurne Barrenechea, and Daniel Gomez).

23 Measurement Theory and Uncertainty in Measurements: Application of Interval Analysis and Fuzzy Sets Methods (Leon Reznik).

24 Fuzzy Rough Sets: From Theory into Practice (Chris Cornelis, Martine De Cock, and Anna Maria Radzikowska).

25 On Type 2 Fuzzy Sets as Granular Models for Words (Jerry M. Mendel).

26 Design of Intelligent Systems with Interval Type-2 Fuzzy Logic (Oscar Castillo and Patricia Melin).

27 Theoretical Aspects of Shadowed Sets (Gianpiero Cattaneo and Davide Ciucci).

28 Fuzzy Representations of Spatial Relations for Spatial Reasoning (Isabelle Bloch).

29 RoughÔ Neural Methodologies in Granular Computing (Sushmita Mitra and Mohua Banerjee).

30 Approximation and Perception in Ethology-Based Reinforcement Learning (James F. Peters).

31 Fuzzy Linear Programming (Jaroslav Ram├şk).

32 A Fuzzy Regression Approach to Acquisition of Linguistic Rules (Junzo Watada and Witold Pedrycz).

33 Fuzzy Associative Memories and Their Relationship to Mathematical Morphology (Peter Sussner and Marcos Eduardo Valle).

34 Fuzzy Cognitive Maps (E.I. Papageorgiou and C.D. Stylios).

Part Three Applications and Case Studies.

35 Rough Sets and Granular Computing in Behavioral Pattern Identification and Planning (Jan G. Bazan).

36 Rough Sets and Granular Computing in Hierarchical Learning (Sinh Hoa Nguyen and Hung Son Nguyen).

37 Outlier and Exception Analysis in Rough Sets and Granular Computing (Tuan Trung Nyuyen).

38 Information Access and Retrieval (Gloria Bordogna, Donald H. Kraft, and Gabriella Pasi).

39 Granular Computing in Medical Informatics (Giovanni Bortolan).

40 Eigen Fuzzy Sets and Image Information Retrieval (Ferdinando Di Martino, Salvatore Sessa, and Hajime Nobuhara).

41 Rough Sets and Granular Computing in Dealing with Missing Attribute Values (Jerzy W. Grzymala-Busse).

42 Granular Computing in Machine Learning and Data Mining (Eyke Huellermeier).

43 On Group Decision Making, Consensus Reaching, Voting, and Voting Paradoxes under Fuzzy Preferences and a Fuzzy Majority: A Survey and a Granulation Perspective (Janusz Kacprzyk, Slawomir. Zadro┼╝ny, Mario Fedrizzi and Hannu Nurmi).

44 FuzzJADE: A Framework for Agent-Based FLCs (Vincenzo Loia and Mario Veniero).

45 Granular Models for Time-Series Forecasting (Marina Hirota Magalhães, Rosangela Ballini, and Fernando Gomide).

46 Rough Clustering (Pawan Lingras, S. Asharaf, and Cory Butz).

47 Rough Document Clustering and The Internet (Hung Son Nguyen and Tu Bao Ho).

48 Rough and Granular Case-Based Reasoning (Simon C.K. Shiu, Sankar K. Pal, and Yan Li).

49 Granulation in Analogy-Based Classification (Arkadiusz Wojna).

50 Approximation Spaces in Conflict Analysis: A Rough Set Framework (Sheela Ramanna).

51 Intervals in Finance and Economics: Bridge between Words and Numbers, Language of Strategy (Manuel Tarrazo).

52 Granular Computing Methods in Bioinformatics (JulioJ. Vald├s).

Index.

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