Type-2 Fuzzy Neural Networks and Their Applications

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Author :
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.

Fuzzy Neural Networks for Real Time Control Applications

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Author :
Publisher : Butterworth-Heinemann
ISBN 13 : 0128027037
Total Pages : 266 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fuzzy Neural Networks for Real Time Control Applications by : Erdal Kayacan

Download or read book Fuzzy Neural Networks for Real Time Control Applications written by Erdal Kayacan and published by Butterworth-Heinemann. This book was released on 2015-10-07 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: AN INDISPENSABLE RESOURCE FOR ALL THOSE WHO DESIGN AND IMPLEMENT TYPE-1 AND TYPE-2 FUZZY NEURAL NETWORKS IN REAL TIME SYSTEMS Delve into the type-2 fuzzy logic systems and become engrossed in the parameter update algorithms for type-1 and type-2 fuzzy neural networks and their stability analysis with this book! Not only does this book stand apart from others in its focus but also in its application-based presentation style. Prepared in a way that can be easily understood by those who are experienced and inexperienced in this field. Readers can benefit from the computer source codes for both identification and control purposes which are given at the end of the book. A clear and an in-depth examination has been made of all the necessary mathematical foundations, type-1 and type-2 fuzzy neural network structures and their learning algorithms as well as their stability analysis. You will find that each chapter is devoted to a different learning algorithm for the tuning of type-1 and type-2 fuzzy neural networks; some of which are: • Gradient descent • Levenberg-Marquardt • Extended Kalman filter In addition to the aforementioned conventional learning methods above, number of novel sliding mode control theory-based learning algorithms, which are simpler and have closed forms, and their stability analysis have been proposed. Furthermore, hybrid methods consisting of particle swarm optimization and sliding mode control theory-based algorithms have also been introduced. The potential readers of this book are expected to be the undergraduate and graduate students, engineers, mathematicians and computer scientists. Not only can this book be used as a reference source for a scientist who is interested in fuzzy neural networks and their real-time implementations but also as a course book of fuzzy neural networks or artificial intelligence in master or doctorate university studies. We hope that this book will serve its main purpose successfully. - Parameter update algorithms for type-1 and type-2 fuzzy neural networks and their stability analysis - Contains algorithms that are applicable to real time systems - Introduces fast and simple adaptation rules for type-1 and type-2 fuzzy neural networks - Number of case studies both in identification and control - Provides MATLAB® codes for some algorithms in the book

Type-2 Fuzzy Logic: Theory and Applications

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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.

New Backpropagation Algorithm with Type-2 Fuzzy Weights for Neural Networks

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Publisher : Springer
ISBN 13 : 3319340875
Total Pages : 111 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis New Backpropagation Algorithm with Type-2 Fuzzy Weights for Neural Networks by : Fernando Gaxiola

Download or read book New Backpropagation Algorithm with Type-2 Fuzzy Weights for Neural Networks written by Fernando Gaxiola and published by Springer. This book was released on 2016-06-02 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a neural network learning method with type-2 fuzzy weight adjustment is proposed. The mathematical analysis of the proposed learning method architecture and the adaptation of type-2 fuzzy weights are presented. The proposed method is based on research of recent methods that handle weight adaptation and especially fuzzy weights.The internal operation of the neuron is changed to work with two internal calculations for the activation function to obtain two results as outputs of the proposed method. Simulation results and a comparative study among monolithic neural networks, neural network with type-1 fuzzy weights and neural network with type-2 fuzzy weights are presented to illustrate the advantages of the proposed method.The proposed approach is based on recent methods that handle adaptation of weights using fuzzy logic of type-1 and type-2. The proposed approach is applied to a cases of prediction for the Mackey-Glass (for ô=17) and Dow-Jones time series, and recognition of person with iris biometric measure. In some experiments, noise was applied in different levels to the test data of the Mackey-Glass time series for showing that the type-2 fuzzy backpropagation approach obtains better behavior and tolerance to noise than the other methods.The optimization algorithms that were used are the genetic algorithm and the particle swarm optimization algorithm and the purpose of applying these methods was to find the optimal type-2 fuzzy inference systems for the neural network with type-2 fuzzy weights that permit to obtain the lowest prediction error.

Modular Neural Networks and Type-2 Fuzzy Systems for Pattern Recognition

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Publisher : Springer
ISBN 13 : 3642241395
Total Pages : 216 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Modular Neural Networks and Type-2 Fuzzy Systems for Pattern Recognition by : Patricia Melin

Download or read book Modular Neural Networks and Type-2 Fuzzy Systems for Pattern Recognition written by Patricia Melin and published by Springer. This book was released on 2011-10-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes hybrid intelligent systems using type-2 fuzzy logic and modular neural networks for pattern recognition applications. Hybrid intelligent systems combine several intelligent computing paradigms, including fuzzy logic, neural networks, and bio-inspired optimization algorithms, which can be used to produce powerful pattern recognition systems. Type-2 fuzzy logic is an extension of traditional type-1 fuzzy logic that enables managing higher levels of uncertainty in complex real world problems, which are of particular importance in the area of pattern recognition. The book is organized in three main parts, each containing a group of chapters built around a similar subject. The first part consists of chapters with the main theme of theory and design algorithms, which are basically chapters that propose new models and concepts, which are the basis for achieving intelligent pattern recognition. The second part contains chapters with the main theme of using type-2 fuzzy models and modular neural networks with the aim of designing intelligent systems for complex pattern recognition problems, including iris, ear, face and voice recognition. The third part contains chapters with the theme of evolutionary optimization of type-2 fuzzy systems and modular neural networks in the area of intelligent pattern recognition, which includes the application of genetic algorithms for obtaining optimal type-2 fuzzy integration systems and ideal neural network architectures for solving problems in this area.

Fuzzy Neural Network Theory and Application

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Publisher : World Scientific
ISBN 13 : 9789812794215
Total Pages : 400 pages
Book Rating : 4.7/5 (942 download)

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Book Synopsis Fuzzy Neural Network Theory and Application by : Puyin Liu

Download or read book Fuzzy Neural Network Theory and Application written by Puyin Liu and published by World Scientific. This book was released on 2004 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically synthesizes research achievements in the field of fuzzy neural networks in recent years. It also provides a comprehensive presentation of the developments in fuzzy neural networks, with regard to theory as well as their application to system modeling and image restoration. Special emphasis is placed on the fundamental concepts and architecture analysis of fuzzy neural networks. The book is unique in treating all kinds of fuzzy neural networks and their learning algorithms and universal approximations, and employing simulation examples which are carefully designed to help the reader grasp the underlying theory. This is a valuable reference for scientists and engineers working in mathematics, computer science, control or other fields related to information processing. It can also be used as a textbook for graduate courses in applied mathematics, computer science, automatic control and electrical engineering. Contents: Fuzzy Neural Networks for Storing and Classifying; Fuzzy Associative Memory OCo Feedback Networks; Regular Fuzzy Neural Networks; Polygonal Fuzzy Neural Networks; Approximation Analysis of Fuzzy Systems; Stochastic Fuzzy Systems and Approximations; Application of FNN to Image Restoration. Readership: Scientists, engineers and graduate students in applied mathematics, computer science, automatic control and information processing."

NEURAL NETWORKS, FUZZY SYSTEMS AND EVOLUTIONARY ALGORITHMS : SYNTHESIS AND APPLICATIONS

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 812035334X
Total Pages : 574 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis NEURAL NETWORKS, FUZZY SYSTEMS AND EVOLUTIONARY ALGORITHMS : SYNTHESIS AND APPLICATIONS by : S. RAJASEKARAN

Download or read book NEURAL NETWORKS, FUZZY SYSTEMS AND EVOLUTIONARY ALGORITHMS : SYNTHESIS AND APPLICATIONS written by S. RAJASEKARAN and published by PHI Learning Pvt. Ltd.. This book was released on 2017-05-01 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book provides a comprehensive introduction to a consortium of technologies underlying soft computing, an evolving branch of computational intelligence, which in recent years, has turned synonymous to it. The constituent technologies discussed comprise neural network (NN), fuzzy system (FS), evolutionary algorithm (EA), and a number of hybrid systems, which include classes such as neuro-fuzzy, evolutionary-fuzzy, and neuro-evolutionary systems. The hybridization of the technologies is demonstrated on architectures such as fuzzy backpropagation network (NN-FS hybrid), genetic algorithm-based backpropagation network (NN-EA hybrid), simplified fuzzy ARTMAP (NN-FS hybrid), fuzzy associative memory (NN-FS hybrid), fuzzy logic controlled genetic algorithm (EA-FS hybrid) and evolutionary extreme learning machine (NN-EA hybrid) Every architecture has been discussed in detail through illustrative examples and applications. The algorithms have been presented in pseudo-code with a step-by-step illustration of the same in problems. The applications, demonstrative of the potential of the architectures, have been chosen from diverse disciplines of science and engineering. This book, with a wealth of information that is clearly presented and illustrated by many examples and applications, is designed for use as a text for the courses in soft computing at both the senior undergraduate and first-year postgraduate levels of computer science and engineering. It should also be of interest to researchers and technologists desirous of applying soft computing technologies to their respective fields of work.

Recent Advances in Interval Type-2 Fuzzy Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642289568
Total Pages : 93 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Recent Advances in Interval Type-2 Fuzzy Systems by : Oscar Castillo

Download or read book Recent Advances in Interval Type-2 Fuzzy Systems written by Oscar Castillo and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews current state of the art methods for building intelligent systems using type-2 fuzzy logic and bio-inspired optimization techniques. Combining type-2 fuzzy logic with optimization algorithms, powerful hybrid intelligent systems have been built using the advantages that each technique offers. This book is intended to be a reference for scientists and engineers interested in applying type-2 fuzzy logic for solving problems in pattern recognition, intelligent control, intelligent manufacturing, robotics and automation. This book can also be used as a reference for graduate courses like the following: soft computing, intelligent pattern recognition, computer vision, applied artificial intelligence, and similar ones. We consider that this book can also be used to get novel ideas for new lines of re-search, or to continue the lines of research proposed by the authors.

Advanced Computing in Industrial Mathematics

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Publisher : Springer
ISBN 13 : 3319655302
Total Pages : 224 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advanced Computing in Industrial Mathematics by : Krassimir Georgiev

Download or read book Advanced Computing in Industrial Mathematics written by Krassimir Georgiev and published by Springer. This book was released on 2017-10-25 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent research on Advanced Computing in Industrial Mathematics, which is one of the most prominent interdisciplinary areas, bringing together mathematics, computer science, scientific computations, engineering, physics, chemistry, medicine, etc. Further, the book presents the major tools used in Industrial Mathematics, which are based on mathematical models, and the corresponding computer codes, which are used to perform virtual experiments to obtain new data or to better understand previous experimental findings. The book gathers the peer-reviewed papers presented at the 11th Annual Meeting of the Bulgarian Section of SIAM (BGSIAM), from December 20 to 22, 2016 in Sofia, Bulgaria.

Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications

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Publisher : Springer Nature
ISBN 13 : 3031263324
Total Pages : 273 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications by : Oscar Castillo

Download or read book Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications written by Oscar Castillo and published by Springer Nature. This book was released on 2023-03-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the introduction, theory, development and applications of type-2 fuzzy logic systems, which represent the current state-of-the-art in various domains such as control applications, power plants, health care, image processing, mathematical applications etc. The book is also rich in discussing different applications in order to give the researchers a flavor of how type-2 fuzzy logic is designed for different types of problems. Type-2 fuzzy logic systems are now used extensively in engineering applications for many purposes. In simple language, this book covers the practical use of type-2 fuzzy logic and its optimization through different training methods. Furthermore, this book maintains the relationship between mathematics and practical implementations in the real world. This book chapter also contains the proper comparisons with available literature work. It shows that the presented enhanced techniques have better results. This book would serve as a handy reference guide for a variety of readers, primarily targeting research scholars, undergraduate and postgraduate researchers and practicing engineers working in Type-2 fuzzy logic systems and their applications.

Uncertain Rule-Based Fuzzy Systems

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Publisher : Springer
ISBN 13 : 3319513702
Total Pages : 701 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 701 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.

Type-2 Fuzzy Logic in Intelligent Control Applications

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Publisher : Springer
ISBN 13 : 364224663X
Total Pages : 187 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Type-2 Fuzzy Logic in Intelligent Control Applications by : Oscar Castillo

Download or read book Type-2 Fuzzy Logic in Intelligent Control Applications written by Oscar Castillo and published by Springer. This book was released on 2011-11-08 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe in this book, hybrid intelligent systems based mainly on type-2 fuzzy logic for intelligent control. Hybrid intelligent systems combine several intelligent computing paradigms, including fuzzy logic, and bio-inspired optimization algorithms, which can be used to produce powerful automatic control systems. The book is organized in three main parts, which contain a group of chapters around a similar subject. The first part consists of chapters with the main theme of theory and design algorithms, which are basically chapters that propose new models and concepts, which can be the basis for achieving intelligent control with interval type-2 fuzzy logic. The second part of the book is comprised of chapters with the main theme of evolutionary optimization of type-2 fuzzy systems in intelligent control with the aim of designing optimal type-2 fuzzy controllers for complex control problems in diverse areas of application, including mobile robotics, aircraft dynamics systems and hardware implementations. The third part of the book is formed with chapters dealing with the theme of bio-inspired optimization of type-2 fuzzy systems in intelligent control, which includes the application of particle swarm intelligence and ant colony optimization algorithms for obtaining optimal type-2 fuzzy controllers.

Soft Computing for Intelligent Control and Mobile Robotics

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Publisher : Springer
ISBN 13 : 3642155340
Total Pages : 475 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Soft Computing for Intelligent Control and Mobile Robotics by : Oscar Castillo

Download or read book Soft Computing for Intelligent Control and Mobile Robotics written by Oscar Castillo and published by Springer. This book was released on 2010-10-05 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes in a detailed fashion the application of hybrid intelligent systems using soft computing techniques for intelligent control and mobile robotics. Soft Computing (SC) consists of several intelligent computing paradigms, including fuzzy logic, neural networks, and bio-inspired optimization algorithms, which can be used to produce powerful hybrid intelligent systems. The prudent combination of SC techniques can produce powerful hybrid intelligent systems that are capable of solving real-world problems. This is illustrated in this book with a wide range of applications, with particular emphasis in intelligent control and mobile robotics. The book is organized in five main parts, which contain a group of papers around a similar subject. The first part consists of papers with the main theme of theory and algorithms, which are basically papers that propose new models and concepts, which can be the basis for achieving intelligent control and mobile robotics. The second part contains papers with the main theme of intelligent control, which are basically papers using bio-inspired techniques, like evolutionary algorithms and neural networks, for achieving intelligent control of non-linear plants. The third part contains papers with the theme of optimization of fuzzy controllers, which basically consider the application of bio-inspired optimization methods to automate the de-sign process of optimal type-1 and type-2 fuzzy controllers. The fourth part contains papers that deal with the application of SC techniques in times series prediction and intelligent agents. The fifth part contains papers with the theme of computer vision and robotics, which are papers considering soft computing methods for applications related to vision and robotics.

Deep Neuro-Fuzzy Systems with Python

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Publisher : Apress
ISBN 13 : 1484253612
Total Pages : 270 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis Deep Neuro-Fuzzy Systems with Python by : Himanshu Singh

Download or read book Deep Neuro-Fuzzy Systems with Python written by Himanshu Singh and published by Apress. This book was released on 2019-11-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain insight into fuzzy logic and neural networks, and how the integration between the two models makes intelligent systems in the current world. This book simplifies the implementation of fuzzy logic and neural network concepts using Python. You’ll start by walking through the basics of fuzzy sets and relations, and how each member of the set has its own membership function values. You’ll also look at different architectures and models that have been developed, and how rules and reasoning have been defined to make the architectures possible. The book then provides a closer look at neural networks and related architectures, focusing on the various issues neural networks may encounter during training, and how different optimization methods can help you resolve them. In the last section of the book you’ll examine the integrations of fuzzy logics and neural networks, the adaptive neuro fuzzy Inference systems, and various approximations related to the same. You’ll review different types of deep neuro fuzzy classifiers, fuzzy neurons, and the adaptive learning capability of the neural networks. The book concludes by reviewing advanced neuro fuzzy models and applications. What You’ll Learn Understand fuzzy logic, membership functions, fuzzy relations, and fuzzy inferenceReview neural networks, back propagation, and optimizationWork with different architectures such as Takagi-Sugeno model, Hybrid model, genetic algorithms, and approximations Apply Python implementations of deep neuro fuzzy system Who This book Is For Data scientists and software engineers with a basic understanding of Machine Learning who want to expand into the hybrid applications of deep learning and fuzzy logic.

Advanced Computational and Communication Paradigms

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Publisher : Springer
ISBN 13 : 9811082375
Total Pages : 791 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advanced Computational and Communication Paradigms by : Siddhartha Bhattacharyya

Download or read book Advanced Computational and Communication Paradigms written by Siddhartha Bhattacharyya and published by Springer. This book was released on 2018-04-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book titled Advanced Computational and Communication Paradigms: Proceedings of International Conference on ICACCP 2017, Volume 2 presents refereed high-quality papers of the First International Conference on Advanced Computational and Communication Paradigms (ICACCP 2017) organized by the Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, held from 8– 10 September 2017. ICACCP 2017 covers an advanced computational paradigms and communications technique which provides failsafe and robust solutions to the emerging problems faced by mankind. Technologists, scientists, industry professionals and research scholars from regional, national and international levels are invited to present their original unpublished work in this conference. There were about 550 technical paper submitted. Finally after peer review, 142 high-quality papers have been accepted and registered for oral presentation which held across 09 general sessions and 05 special sessions along with 04 keynote address and 06 invited talks. This volume comprises 77 accepted papers of ICACCP 2017.

Recent Developments and the New Direction in Soft-Computing Foundations and Applications

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Publisher : Springer
ISBN 13 : 3319754084
Total Pages : 623 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Recent Developments and the New Direction in Soft-Computing Foundations and Applications by : Lotfi A. Zadeh

Download or read book Recent Developments and the New Direction in Soft-Computing Foundations and Applications written by Lotfi A. Zadeh and published by Springer. This book was released on 2018-05-28 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an authoritative collection of contributions in the field of soft-computing. Based on selected works presented at the 6th World Conference on Soft Computing, held on May 22-25, 2016, in Berkeley, USA, it describes new theoretical advances, as well as cutting-edge methods and applications. Theories cover a wealth of topics, such as fuzzy logic, cognitive modeling, Bayesian and probabilistic methods, multi-criteria decision making, utility theory, approximate reasoning, human-centric computing and many others. Applications concerns a number of fields, such as internet and semantic web, social networks and trust, control and robotics, computer vision, medicine and bioinformatics, as well as finance, security and e-Commerce, among others. Dedicated to the 50th Anniversary of Fuzzy Logic and to the 95th Birthday Anniversary of Lotfi A. Zadeh, the book not only offers a timely view on the field, yet it also discusses thought-provoking developments and challenges, thus fostering new research directions in the diverse areas of soft computing.

Fuzzy Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 1461313651
Total Pages : 399 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Fuzzy Modelling by : Witold Pedrycz

Download or read book Fuzzy Modelling written by Witold Pedrycz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Modelling: Paradigms and Practice provides an up-to-date and authoritative compendium of fuzzy models, identification algorithms and applications. Chapters in this book have been written by the leading scholars and researchers in their respective subject areas. Several of these chapters include both theoretical material and applications. The editor of this volume has organized and edited the chapters into a coherent and uniform framework. The objective of this book is to provide researchers and practitioners involved in the development of models for complex systems with an understanding of fuzzy modelling, and an appreciation of what makes these models unique. The chapters are organized into three major parts covering relational models, fuzzy neural networks and rule-based models. The material on relational models includes theory along with a large number of implemented case studies, including some on speech recognition, prediction, and ecological systems. The part on fuzzy neural networks covers some fundamentals, such as neurocomputing, fuzzy neurocomputing, etc., identifies the nature of the relationship that exists between fuzzy systems and neural networks, and includes extensive coverage of their architectures. The last part addresses the main design principles governing the development of rule-based models. Fuzzy Modelling: Paradigms and Practice provides a wealth of specific fuzzy modelling paradigms, algorithms and tools used in systems modelling. Also included is a panoply of case studies from various computer, engineering and science disciplines. This should be a primary reference work for researchers and practitioners developing models of complex systems.