On Fuzziness


On Fuzziness
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Readings In Fuzzy Sets For Intelligent Systems


Readings In Fuzzy Sets For Intelligent Systems
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Author : Didier J. Dubois
language : en
Publisher: Morgan Kaufmann
Release Date : 2014-05-12

Readings In Fuzzy Sets For Intelligent Systems written by Didier J. Dubois and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Computers categories.


Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.



Mathematics Of Fuzziness Basic Issues


Mathematics Of Fuzziness Basic Issues
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Author : Xuzhu Wang
language : en
Publisher: Springer
Release Date : 2009-03-11

Mathematics Of Fuzziness Basic Issues written by Xuzhu Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-11 with Mathematics categories.


Mathematics of Fuzziness – Basic Issues introduces a basic notion of ‘fuzziness’ and provides a conceptual mathematical framework to characterize such fuzzy phenomena in Studies in Fuzziness and Soft Computing. The book systematically presents a self-contained introduction to the essentials of mathematics of fuzziness ranging from fuzzy sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy integrals, and fuzzy topology to fuzzy control in a strictly mathematical manner. It contains most of the authors’ research results in the field of fuzzy set theory and has evolved from the authors’ lecture notes to both undergraduate and graduate students over the last three decades. A lot of exercises in each chapter of the book are particularly suitable as a textbook for any undergraduate and graduate student in mathematics, computer science and engineering. The reading of the book will surely lay a solid foundation for further research on fuzzy set theory and its applications.



Fuzziness In Information Systems


Fuzziness In Information Systems
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Author : Miroslav Hudec
language : en
Publisher: Springer
Release Date : 2018-04-22

Fuzziness In Information Systems written by Miroslav Hudec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-22 with Computers categories.


This book is an essential contribution to the description of fuzziness in information systems. Usually users want to retrieve data or summarized information from a database and are interested in classifying it or building rule-based systems on it. But they are often not aware of the nature of this data and/or are unable to determine clear search criteria. The book examines theoretical and practical approaches to fuzziness in information systems based on statistical data related to territorial units. Chapter 1 discusses the theory of fuzzy sets and fuzzy logic to enable readers to understand the information presented in the book. Chapter 2 is devoted to flexible queries and includes issues like constructing fuzzy sets for query conditions, and aggregation operators for commutative and non-commutative conditions, while Chapter 3 focuses on linguistic summaries. Chapter 4 presents fuzzy logic control architecture adjusted specifically for the aims of business and governmental agencies, and shows fuzzy rules and procedures for solving inference tasks. Chapter 5 covers the fuzzification of classical relational databases with an emphasis on storing fuzzy data in classical relational databases in such a way that existing data and normal forms are not affected. This book also examines practical aspects of user-friendly interfaces for storing, updating, querying and summarizing. Lastly, Chapter 6 briefly discusses possible integration of fuzzy queries, summarization and inference related to crisp and fuzzy databases. The main target audience of the book is researchers and students working in the fields of data analysis, database design and business intelligence. As it does not go too deeply into the foundation and mathematical theory of fuzzy logic and relational algebra, it is also of interest to advanced professionals developing tailored applications based on fuzzy sets.



Fundamentals Of Uncertainty Calculi With Applications To Fuzzy Inference


Fundamentals Of Uncertainty Calculi With Applications To Fuzzy Inference
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Author : Michel Grabisch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Fundamentals Of Uncertainty Calculi With Applications To Fuzzy Inference written by Michel Grabisch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.


With the vision that machines can be rendered smarter, we have witnessed for more than a decade tremendous engineering efforts to implement intelligent sys tems. These attempts involve emulating human reasoning, and researchers have tried to model such reasoning from various points of view. But we know precious little about human reasoning processes, learning mechanisms and the like, and in particular about reasoning with limited, imprecise knowledge. In a sense, intelligent systems are machines which use the most general form of human knowledge together with human reasoning capability to reach decisions. Thus the general problem of reasoning with knowledge is the core of design methodology. The attempt to use human knowledge in its most natural sense, that is, through linguistic descriptions, is novel and controversial. The novelty lies in the recognition of a new type of un certainty, namely fuzziness in natural language, and the controversality lies in the mathematical modeling process. As R. Bellman [7] once said, decision making under uncertainty is one of the attributes of human intelligence. When uncertainty is understood as the impossi bility to predict occurrences of events, the context is familiar to statisticians. As such, efforts to use probability theory as an essential tool for building intelligent systems have been pursued (Pearl [203], Neapolitan [182)). The methodology seems alright if the uncertain knowledge in a given problem can be modeled as probability measures.



New Trends In Fuzzy Systems


New Trends In Fuzzy Systems
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Author : Dario Mancini
language : en
Publisher: World Scientific
Release Date : 1998-02-17

New Trends In Fuzzy Systems written by Dario Mancini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-17 with categories.


The developments of fuzzy systems and fuzzy logic is permeating through the diverse branches of science where uncertainty has to be considered laying on the foundations and applicative developments. CIFT and MEPP conferences have been held in different venues in Scandinavia and Italy since 1990, and have stimulated the attention from academia and industry toward the novelties introduced by fuzzy logic and fuzzy systems theory. The papers presented in this volume are concerned with a wide vision of modern perspectives of science. These cover research areas such as management, financial and economic applications, urbanism and ecology, astronomical engineering, medical diagnosis and imaging, and human behavior. Contents:Retrieving Documents from Multiple Information Sources (R Yager & A Rybalov)Basic Principles of Rough Set Analysis (B Matarazzo)Conditional Measures: Old and New (G Coletti & R Scozzafava)Application of a New Fuzzy Identification Algorithm for the Control of a DC to DC Converter (A Luciano et al)Fuzzy Logic and the Engineering of Quality in Electronic Products (B Bosacchi)On Some Order Structures in Fuzzy Modelling (M Fedrizzi et al)Fuzzy Control for Medicine: State of the Art and New Perspectives (S Giove)The Generalised Perceptron is a Fuzzy Neuron and a Fuzzy Rule (L Kallin & P Eklund)Application of MEP-Based Fuzzy Clustering to the Segmentation of Multivariate Medical Images (F Masulli et al)and other papers Readership: Students, engineers, and researchers in fuzzy systems, artificial intelligence, systems/knowledge engineering, biomedical engineering, civil engineering, applied mathematics, materials science, economics/finance and management. keywords:Fuzzy Logic;Fuzzy Modeling;Fuzzy Rule;Fuzzy Clustering



Fuzzy Image Processing And Applications With Matlab


Fuzzy Image Processing And Applications With Matlab
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Author : Tamalika Chaira
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Fuzzy Image Processing And Applications With Matlab written by Tamalika Chaira and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Technology & Engineering categories.


In contrast to classical image analysis methods that employ "crisp" mathematics, fuzzy set techniques provide an elegant foundation and a set of rich methodologies for diverse image-processing tasks. However, a solid understanding of fuzzy processing requires a firm grasp of essential principles and background knowledge. Fuzzy Image Processing and Applications with MATLAB® presents the integral science and essential mathematics behind this exciting and dynamic branch of image processing, which is becoming increasingly important to applications in areas such as remote sensing, medical imaging, and video surveillance, to name a few. Many texts cover the use of crisp sets, but this book stands apart by exploring the explosion of interest and significant growth in fuzzy set image processing. The distinguished authors clearly lay out theoretical concepts and applications of fuzzy set theory and their impact on areas such as enhancement, segmentation, filtering, edge detection, content-based image retrieval, pattern recognition, and clustering. They describe all components of fuzzy, detailing preprocessing, threshold detection, and match-based segmentation. Minimize Processing Errors Using Dynamic Fuzzy Set Theory This book serves as a primer on MATLAB and demonstrates how to implement it in fuzzy image processing methods. It illustrates how the code can be used to improve calculations that help prevent or deal with imprecision—whether it is in the grey level of the image, geometry of an object, definition of an object’s edges or boundaries, or in knowledge representation, object recognition, or image interpretation. The text addresses these considerations by applying fuzzy set theory to image thresholding, segmentation, edge detection, enhancement, clustering, color retrieval, clustering in pattern recognition, and other image processing operations. Highlighting key ideas, the authors present the experimental results of their own new fuzzy approaches and those suggested by different authors, offering data and insights that will be useful to teachers, scientists, and engineers, among others.



Advances In Fuzzy Object Oriented Databases


Advances In Fuzzy Object Oriented Databases
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Author : Zongmin Ma
language : en
Publisher: IGI Global
Release Date : 2005-01-01

Advances In Fuzzy Object Oriented Databases written by Zongmin Ma and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Computers categories.


Readers will get a complete understanding of the notions, techniques, and methods related to the research and developments of fuzzy object-oriented databases from the book, which will serve as a starting point and a reference for their research and developments."--BOOK JACKET.



Fuzzy Sets Methods In Image Processing And Understanding


Fuzzy Sets Methods In Image Processing And Understanding
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Author : Isabelle Bloch
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Fuzzy Sets Methods In Image Processing And Understanding written by Isabelle Bloch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Medical categories.


This book provides a thorough overview of recent methods using higher level information (object or scene level) for advanced tasks such as image understanding along with their applications to medical images. Advanced methods for fuzzy image processing and understanding are presented, including fuzzy spatial objects, geometry and topology, mathematical morphology, machine learning, verbal descriptions of image content, fusion, spatial relations, and structural representations. For each methodological aspect covered, illustrations from the medical imaging domain are provided. This is an ideal book for graduate students and researchers in the field of medical image processing.



On Fuzziness


On Fuzziness
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Author : Rudolf Seising
language : en
Publisher: Springer
Release Date : 2013-01-12

On Fuzziness written by Rudolf Seising and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-12 with Technology & Engineering categories.


The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far. This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him. Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science. Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain). Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain). Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)



Applications Of Fuzzy Sets Theory


Applications Of Fuzzy Sets Theory
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Author : Francesco Masulli
language : en
Publisher: Springer
Release Date : 2007-08-24

Applications Of Fuzzy Sets Theory written by Francesco Masulli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Computers categories.


The 7th International Workshop on Fuzzy Logic and Applications, held in Camogli, Italy in July 2007, presented the latest findings in the field. This volume features the refereed proceedings from that meeting. It includes 84 full papers as well as three keynote speeches. The papers are organized into topical sections covering fuzzy set theory, fuzzy information access and retrieval, fuzzy machine learning, and fuzzy architectures and systems.