Type 2 Fuzzy Granular Models

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Type-2 Fuzzy Granular Models

Author : Mauricio A. Sanchez
Publisher : Springer
ISBN 13 : 3319412884
Total Pages : 93 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Type-2 Fuzzy Granular Models by : Mauricio A. Sanchez

Download or read book Type-2 Fuzzy Granular Models written by Mauricio A. Sanchez and published by Springer. This book was released on 2016-08-26 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a series of granular algorithms are proposed. A nature inspired granular algorithm based on Newtonian gravitational forces is proposed. A series of methods for the formation of higher-type information granules represented by Interval Type-2 Fuzzy Sets are also shown, via multiple approaches, such as Coefficient of Variation, principle of justifiable granularity, uncertainty-based information concept, and numerical evidence based. And a fuzzy granular application comparison is given as to demonstrate the differences in how uncertainty affects the performance of fuzzy information granules.

Type-2 Fuzzy Logic: Theory and Applications

Author : Oscar Castillo
Publisher : Springer Science & Business Media
ISBN 13 : 3540762833
Total Pages : 252 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Type-2 Fuzzy Logic: Theory and Applications by : Oscar Castillo

Download or read book Type-2 Fuzzy Logic: Theory and Applications written by Oscar Castillo and published by Springer Science & Business Media. This book was released on 2008-02-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes new methods for building intelligent systems using type-2 fuzzy logic and soft computing (SC) techniques. The authors extend the use of fuzzy logic to a higher order, which is called type-2 fuzzy logic. Combining type-2 fuzzy logic with traditional SC techniques, we can build powerful hybrid intelligent systems that can use the advantages that each technique offers. This book is intended to be a major reference tool and can be used as a textbook.

Human-Centric Information Processing Through Granular Modelling

Author : Andrzej Bargiela
Publisher : Springer Science & Business Media
ISBN 13 : 3540929150
Total Pages : 402 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Human-Centric Information Processing Through Granular Modelling by : Andrzej Bargiela

Download or read book Human-Centric Information Processing Through Granular Modelling written by Andrzej Bargiela and published by Springer Science & Business Media. This book was released on 2009-02-26 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information granules and their processing permeate a way in which we perceive the world, carryout processing at the conceptual (abstract) level, and communicate our findings to the surrounding environment. The importance of information granulation becomes even more apparent when we are faced with a rapidly growing flood of data, become challenged to make decisions in complex data settings and are required to appreciate the context from which the data is derived. Human centricity of systems that claim to be “intelligent” and the granular computing come hand in hand. It is not surprising at all to witness that the paradigm of Granular Computing has started to gain visibility and continues along this path by gathering interest from the circles of academics and practitioners. It is quite remarkable that the spectrum of application and research areas that have adopted information granulation as a successful strategy for dealing with information complexity covers such diverse fields as bioinformatics, image understanding, environmental monitoring, urban sustainability, to mention few most visible in the literature. Undoubtedly, there are two important aspects of Granular Computing that are worth stressing. First, there are several formalisms in which information granules are articulated so be intervals (sets), fuzzy sets, rough sets, soft sets, approximate sets, near sets and alike. They are complementary and each of them offers some interesting views at the complexity of the world and cyberspace.

Granular, Fuzzy, and Soft Computing

Author : Tsau-Young Lin
Publisher : Springer Nature
ISBN 13 : 1071626280
Total Pages : 936 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Granular, Fuzzy, and Soft Computing by : Tsau-Young Lin

Download or read book Granular, Fuzzy, and Soft Computing written by Tsau-Young Lin and published by Springer Nature. This book was released on 2023-03-29 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Granular Computing

Author : Witold Pedrycz
Publisher : John Wiley & Sons
ISBN 13 : 0470724153
Total Pages : 1148 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Handbook of Granular Computing by : Witold Pedrycz

Download or read book Handbook of Granular Computing written by Witold Pedrycz and published by John Wiley & Sons. This book was released on 2008-07-31 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hierarchical Type-2 Fuzzy Aggregation of Fuzzy Controllers

Author : Leticia Cervantes
Publisher : Springer
ISBN 13 : 3319266713
Total Pages : 69 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Hierarchical Type-2 Fuzzy Aggregation of Fuzzy Controllers by : Leticia Cervantes

Download or read book Hierarchical Type-2 Fuzzy Aggregation of Fuzzy Controllers written by Leticia Cervantes and published by Springer. This book was released on 2015-11-06 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the fields of fuzzy logic, granular computing and also considering the control area. These areas can work together to solve various control problems, the idea is that this combination of areas would enable even more complex problem solving and better results. In this book we test the proposed method using two benchmark problems: the total flight control and the problem of water level control for a 3 tank system. When fuzzy logic is used it make it easy to performed the simulations, these fuzzy systems help to model the behavior of a real systems, using the fuzzy systems fuzzy rules are generated and with this can generate the behavior of any variable depending on the inputs and linguistic value. For this reason this work considers the proposed architecture using fuzzy systems and with this improve the behavior of the complex control problems.

Recent Advances in Intuitionistic Fuzzy Logic Systems

Author : Said Melliani
Publisher : Springer
ISBN 13 : 3030021556
Total Pages : 320 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems written by Said Melliani and published by Springer. This book was released on 2018-10-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.

Type-2 Fuzzy Neural Networks and Their Applications

Author : Rafik Aziz Aliev
Publisher : Springer
ISBN 13 : 3319090720
Total Pages : 203 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Type-2 Fuzzy Neural Networks and Their Applications by : Rafik Aziz Aliev

Download or read book Type-2 Fuzzy Neural Networks and Their Applications written by Rafik Aziz Aliev and published by Springer. This book was released on 2014-09-08 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory, design principles, and application of hybrid intelligent systems using type-2 fuzzy sets in combination with other paradigms of Soft Computing technology such as Neuro-Computing and Evolutionary Computing. It provides a self-contained exposition of the foundation of type-2 fuzzy neural networks and presents a vast compendium of its applications to control, forecasting, decision making, system identification and other real problems. Type-2 Fuzzy Neural Networks and Their Applications is helpful for teachers and students of universities and colleges, for scientists and practitioners from various fields such as control, decision analysis, pattern recognition and similar fields.

Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives

Author : Krassimir T. Atanassov
Publisher : Springer Nature
ISBN 13 : 3030470245
Total Pages : 452 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives by : Krassimir T. Atanassov

Download or read book Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives written by Krassimir T. Atanassov and published by Springer Nature. This book was released on 2020-06-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected papers from two important conferences held on October 24–28, 2018, in Warsaw, Poland: theFifteenth National Conference of Operational and Systems Research, BOS-2018, one of the leading conferences in the field of operational and systems research not only in Poland but also at the European level; andthe Seventeenth International Workshop on Intuitionistic Fuzzy Sets and General Nets, IWIFSGN-2018, one of thepremiere conferences on fuzzy logic. The papers presented here constitute a fair and comprehensive representation of the topics covered by both BOS-2018 and IWIFSGN-2018, includingextensions of the traditional fuzzy sets, in particular on the intuitionistic fuzzy sets, as well as other topics in uncertainty and imprecision modeling, the Generalized Nets (GNs), a powerful extension of the traditional Petri net paradigm, and InterCriteria Analysis, a new method for feature selection and analyses in multicriteria and multi-attribute decision-making problems. The Workshop was dedicated to the memory of Professor Beloslav Riečan (1936–2018), a regular participant at the IWIFSGN workshops.

Granular Computing

Author : Witold Pedrycz
Publisher : CRC Press
ISBN 13 : 1439886873
Total Pages : 309 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Granular Computing by : Witold Pedrycz

Download or read book Granular Computing written by Witold Pedrycz and published by CRC Press. This book was released on 2018-09-03 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information granules, as encountered in natural language, are implicit in nature. To make them fully operational so they can be effectively used to analyze and design intelligent systems, information granules need to be made explicit. An emerging discipline, granular computing focuses on formalizing information granules and unifying them to create a coherent methodological and developmental environment for intelligent system design and analysis. Granular Computing: Analysis and Design of Intelligent Systems presents the unified principles of granular computing along with its comprehensive algorithmic framework and design practices. Introduces the concepts of information granules, information granularity, and granular computing Presents the key formalisms of information granules Builds on the concepts of information granules with discussion of higher-order and higher-type information granules Discusses the operational concept of information granulation and degranulation by highlighting the essence of this tandem and its quantification in terms of the associated reconstruction error Examines the principle of justifiable granularity Stresses the need to look at information granularity as an important design asset that helps construct more realistic models of real-world systems or facilitate collaborative pursuits of system modeling Highlights the concepts, architectures, and design algorithms of granular models Explores application domains where granular computing and granular models play a visible role, including pattern recognition, time series, and decision making Written by an internationally renowned authority in the field, this innovative book introduces readers to granular computing as a new paradigm for the analysis and synthesis of intelligent systems. It is a valuable resource for those engaged in research and practical developments in computer, electrical, industrial, manufacturing, and biomedical engineering. Building from fundamentals, the book is also suitable for readers from nontechnical disciplines where information granules assume a visible position.

Frontiers of Higher Order Fuzzy Sets

Author : Alireza Sadeghian
Publisher : Springer
ISBN 13 : 1461434424
Total Pages : 266 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Frontiers of Higher Order Fuzzy Sets by : Alireza Sadeghian

Download or read book Frontiers of Higher Order Fuzzy Sets written by Alireza Sadeghian and published by Springer. This book was released on 2014-12-03 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers of Higher Order Fuzzy Sets, provides a unified representation theorem for higher order fuzzy sets. The book elaborates on the concept of gradual elements and their integration with the higher order fuzzy sets. This book also is devoted to the introduction of new frameworks based on general T2FSs, IT2FSs, Gradual elements, Shadowed sets and rough sets. Such new frameworks will provide more capable frameworks for real applications. Applications of higher order fuzzy sets in various fields will be discussed. In particular, the properties and characteristics of the new proposed frameworks would be studied. Such frameworks that are the result of the integration of general T2FSs, IT2FSs, gradual elements, shadowed sets and rough sets will be shown to be suitable to be applied in the fields of bioinformatics, business, management, ambient intelligence, medicine, cloud computing and smart grids.

Uncertain Rule-Based Fuzzy Systems

Author : Jerry M. Mendel
Publisher : Springer
ISBN 13 : 3319513702
Total Pages : 684 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Uncertain Rule-Based Fuzzy Systems by : Jerry M. Mendel

Download or read book Uncertain Rule-Based Fuzzy Systems written by Jerry M. Mendel and published by Springer. This book was released on 2017-05-17 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this textbook provides a fully updated approach to fuzzy sets and systems that can model uncertainty — i.e., “type-2” fuzzy sets and systems. The author demonstrates how to overcome the limitations of classical fuzzy sets and systems, enabling a wide range of applications from time-series forecasting to knowledge mining to control. In this new edition, a bottom-up approach is presented that begins by introducing classical (type-1) fuzzy sets and systems, and then explains how they can be modified to handle uncertainty. The author covers fuzzy rule-based systems – from type-1 to interval type-2 to general type-2 – in one volume. For hands-on experience, the book provides information on accessing MatLab and Java software to complement the content. The book features a full suite of classroom material.

Fuzzy Logic Theory and Applications

Author : Lotfi A Zadeh
Publisher : World Scientific Publishing
ISBN 13 : 9813238194
Total Pages : 612 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Fuzzy Logic Theory and Applications by : Lotfi A Zadeh

Download or read book Fuzzy Logic Theory and Applications written by Lotfi A Zadeh and published by World Scientific Publishing. This book was released on 2018-11-28 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, voluminous textbooks and monographs in fuzzy logic are devoted only to separate or some combination of separate facets of fuzzy logic. There is a lack of a single book that presents a comprehensive and self-contained theory of fuzzy logic and its applications. Written by world renowned authors, Lofti Zadeh, also known as the Father of Fuzzy Logic, and Rafik Aliev, who are pioneers in fuzzy logic and fuzzy sets, this unique compendium includes all the principal facets of fuzzy logic such as logical, fuzzy-set-theoretic, epistemic and relational. Theoretical problems are prominently illustrated and illuminated by numerous carefully worked-out and thought-through examples. This invaluable volume will be a useful reference guide for academics, practitioners, graduates and undergraduates in fuzzy logic and its applications.

Fuzzy Logic and Soft Computing Applications

Author : Alfredo Petrosino
Publisher : Springer
ISBN 13 : 3319529625
Total Pages : 281 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Fuzzy Logic and Soft Computing Applications by : Alfredo Petrosino

Download or read book Fuzzy Logic and Soft Computing Applications written by Alfredo Petrosino and published by Springer. This book was released on 2017-02-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 11th International Workshop on Fuzzy Logic and Applications, WILF 2016, held in Naples, Italy, in December 2016. The 22 revised full papers presented together with 2 invited lectures were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy measures and transforms; granularity and multi-logics, clustering and learning; knowledge systems; and soft computing and applications.

Granular Computing and Intelligent Systems

Author : Witold Pedrycz
Publisher : Springer Science & Business Media
ISBN 13 : 3642198201
Total Pages : 308 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Granular Computing and Intelligent Systems by : Witold Pedrycz

Download or read book Granular Computing and Intelligent Systems written by Witold Pedrycz and published by Springer Science & Business Media. This book was released on 2011-04-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information granules are fundamental conceptual entities facilitating perception of complex phenomena and contributing to the enhancement of human centricity in intelligent systems. The formal frameworks of information granules and information granulation comprise fuzzy sets, interval analysis, probability, rough sets, and shadowed sets, to name only a few representatives. Among current developments of Granular Computing, interesting options concern information granules of higher order and of higher type. The higher order information granularity is concerned with an effective formation of information granules over the space being originally constructed by information granules of lower order. This construct is directly associated with the concept of hierarchy of systems composed of successive processing layers characterized by the increasing levels of abstraction. This idea of layered, hierarchical realization of models of complex systems has gained a significant level of visibility in fuzzy modeling with the well-established concept of hierarchical fuzzy models where one strives to achieve a sound tradeoff between accuracy and a level of detail captured by the model and its level of interpretability. Higher type information granules emerge when the information granules themselves cannot be fully characterized in a purely numerical fashion but instead it becomes convenient to exploit their realization in the form of other types of information granules such as type-2 fuzzy sets, interval-valued fuzzy sets, or probabilistic fuzzy sets. Higher order and higher type of information granules constitute the focus of the studies on Granular Computing presented in this study. The book elaborates on sound methodologies of Granular Computing, algorithmic pursuits and an array of diverse applications and case studies in environmental studies, option price forecasting, and power engineering.

Complex Systems: Spanning Control and Computational Cybernetics: Foundations

Author : Peng Shi
Publisher : Springer Nature
ISBN 13 : 3030997766
Total Pages : 505 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Complex Systems: Spanning Control and Computational Cybernetics: Foundations by : Peng Shi

Download or read book Complex Systems: Spanning Control and Computational Cybernetics: Foundations written by Peng Shi and published by Springer Nature. This book was released on 2022-08-24 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, dedicated to Professor Georgi M. Dimirovski on his anniversary, contains new research directions, challenges, and many relevant applications related to many aspects within the broadly perceived areas of systems and control, including signal analysis and intelligent systems. The project comprises two volumes with papers written by well known and very active researchers and practitioners. The first volume is focused on more foundational aspects related to general issues in systems science and mathematical systems, various problems in control and automation, and the use of computational and artificial intelligence in the context of systems modeling and control. The second volume is concerned with a presentation of relevant applications, notably in robotics, computer networks, telecommunication, fault detection/diagnosis, as well as in biology and medicine, and economic, financial, and social systems too.

Pattern Recognition

Author : Wladyslaw Homenda
Publisher : John Wiley & Sons
ISBN 13 : 111930282X
Total Pages : 256 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Pattern Recognition by : Wladyslaw Homenda

Download or read book Pattern Recognition written by Wladyslaw Homenda and published by John Wiley & Sons. This book was released on 2018-03-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the issue of data quality in pattern recognition Detailing foundational concepts before introducing more complex methodologies and algorithms, this book is a self-contained manual for advanced data analysis and data mining. Top-down organization presents detailed applications only after methodological issues have been mastered, and step-by-step instructions help ensure successful implementation of new processes. By positioning data quality as a factor to be dealt with rather than overcome, the framework provided serves as a valuable, versatile tool in the analysis arsenal. For decades, practical need has inspired intense theoretical and applied research into pattern recognition for numerous and diverse applications. Throughout, the limiting factor and perpetual problem has been data—its sheer diversity, abundance, and variable quality presents the central challenge to pattern recognition innovation. Pattern Recognition: A Quality of Data Perspective repositions that challenge from a hurdle to a given, and presents a new framework for comprehensive data analysis that is designed specifically to accommodate problem data. Designed as both a practical manual and a discussion about the most useful elements of pattern recognition innovation, this book: Details fundamental pattern recognition concepts, including feature space construction, classifiers, rejection, and evaluation Provides a systematic examination of the concepts, design methodology, and algorithms involved in pattern recognition Includes numerous experiments, detailed schemes, and more advanced problems that reinforce complex concepts Acts as a self-contained primer toward advanced solutions, with detailed background and step-by-step processes Introduces the concept of granules and provides a framework for granular computing Pattern recognition plays a pivotal role in data analysis and data mining, fields which are themselves being applied in an expanding sphere of utility. By facing the data quality issue head-on, this book provides students, practitioners, and researchers with a clear way forward amidst the ever-expanding data supply.