Soft Numerical Computing In Uncertain Dynamic Systems

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Soft Numerical Computing in Uncertain Dynamic Systems

Tofigh Allahviranloo,Witold Pedrycz
Soft Numerical Computing in Uncertain Dynamic Systems Book PDF

Author : Tofigh Allahviranloo,Witold Pedrycz
Publisher : Academic Press
Page : 390 pages
File Size : 44,7 Mb
Release : 2020-08-19
Category : Computers
ISBN : 9780128229941

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Soft Numerical Computing in Uncertain Dynamic Systems by Tofigh Allahviranloo,Witold Pedrycz Pdf

Soft Numerical Computing in Uncertain Dynamic Systems is intended for system specialists interested in dynamic systems that operate at different time scales. The book discusses several types of errors and their propagation, covering numerical methods—including convergence and consistence properties and characteristics—and proving of related theorems within the setting of soft computing. Several types of uncertainty representation like interval, fuzzy, type 2 fuzzy, granular, and combined uncertain sets are discussed in detail. The book can be used by engineering students in control and finite element fields, as well as all engineering, applied mathematics, economics, and computer science students. One of the important topics in applied science is dynamic systems and their applications. The authors develop these models and deliver solutions with the aid of numerical methods. Since they are inherently uncertain, soft computations are of high relevance here. This is the reason behind investigating soft numerical computing in dynamic systems. If these systems are involved with complex-uncertain data, they will be more practical and important. Real-life problems work with this type of data and most of them cannot be solved exactly and easily—sometimes they are impossible to solve. Clearly, all the numerical methods need to consider error of approximation. Other important applied topics involving uncertain dynamic systems include image processing and pattern recognition, which can benefit from uncertain dynamic systems as well. In fact, the main objective is to determine the coefficients of a matrix that acts as the frame in the image. One of the effective methods exhibiting high accuracy is to use finite differences to fill the cells of the matrix. Explores dynamic models, how time is fundamental to the structure of the model and data, and how a process unfolds Investigates the dynamic relationships between multiple components of a system in modeling using mathematical models and the concept of stability in uncertain environments Exposes readers to many soft numerical methods to simulate the solution function’s behavior

Soft Computing Approach for Mathematical Modeling of Engineering Problems

Ali Ahmadian,Soheil Salahshour
Soft Computing Approach for Mathematical Modeling of Engineering Problems Book PDF

Author : Ali Ahmadian,Soheil Salahshour
Publisher : CRC Press
Page : 160 pages
File Size : 46,8 Mb
Release : 2021-09-02
Category : Computers
ISBN : 9781000432466

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Soft Computing Approach for Mathematical Modeling of Engineering Problems by Ali Ahmadian,Soheil Salahshour Pdf

This book describes different mathematical modeling and soft computing techniques used to solve practical engineering problems. It gives an overview of the current state of soft computing techniques and describes the advantages and disadvantages of soft computing compared to traditional hard computing techniques. Through examples and case studies, the editors demonstrate and describe how problems with inherent uncertainty can be addressed and eventually solved through the aid of numerical models and methods. The chapters address several applications and examples in bioengineering science, drug delivery, solving inventory issues, Industry 4.0, augmented reality and weather forecasting. Other examples include solving fuzzy-shortest-path problems by introducing a new distance and ranking functions. Because, in practice, problems arise with uncertain data and most of them cannot be solved exactly and easily, the main objective is to develop models that deliver solutions with the aid of numerical methods. This is the reason behind investigating soft numerical computing in dynamic systems. Having this in mind, the authors and editors have considered error of approximation and have discussed several common types of errors and their propagations. Moreover, they have explained the numerical methods, along with convergence and consistence properties and characteristics, as the main objectives behind this book involve considering, discussing and proving related theorems within the setting of soft computing. This book examines dynamic models, and how time is fundamental to the structure of the model and data as well as the understanding of how a process unfolds • Discusses mathematical modeling with soft computing and the implementations of uncertain mathematical models • Examines how uncertain dynamic systems models include uncertain state, uncertain state space and uncertain state’s transition functions • Assists readers to become familiar with many soft numerical methods to simulate the solution function’s behavior This book is intended for system specialists who are interested in dynamic systems that operate at different time scales. The book can be used by engineering students, researchers and professionals in control and finite element fields as well as all engineering, applied mathematics, economics and computer science interested in dynamic and uncertain systems. Ali Ahmadian is a Senior Lecturer at the Institute of IR 4.0, The National University of Malaysia. Soheil Salahshour is an associate professor at Bahcesehir University.

Mathematical Methods in Interdisciplinary Sciences

Snehashish Chakraverty
Mathematical Methods in Interdisciplinary Sciences Book PDF

Author : Snehashish Chakraverty
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 42,6 Mb
Release : 2020-06-02
Category : Mathematics
ISBN : 9781119585619

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Mathematical Methods in Interdisciplinary Sciences by Snehashish Chakraverty Pdf

Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

Handbook of Research on Novel Soft Computing Intelligent Algorithms

Pandian Vasant
Handbook of Research on Novel Soft Computing Intelligent Algorithms Book PDF

Author : Pandian Vasant
Publisher : IGI Global
Page : 1004 pages
File Size : 43,7 Mb
Release : 2013-08-31
Category : Technology & Engineering
ISBN : 9781466644519

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Handbook of Research on Novel Soft Computing Intelligent Algorithms by Pandian Vasant Pdf

"This book explores emerging technologies and best practices designed to effectively address concerns inherent in properly optimizing advanced systems, demonstrating applications in areas such as bio-engineering, space exploration, industrial informatics, information security, and nuclear and renewable energies"--Provided by publisher.

Soft Computing in Interdisciplinary Sciences

S. Chakraverty
Soft Computing in Interdisciplinary Sciences Book PDF

Author : S. Chakraverty
Publisher : Springer Nature
Page : 264 pages
File Size : 41,8 Mb
Release : 2021-11-01
Category : Technology & Engineering
ISBN : 9789811647130

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Soft Computing in Interdisciplinary Sciences by S. Chakraverty Pdf

This book meets the present and future needs for the interaction between various science and technology/engineering areas on the one hand and different branches of soft computing on the other. Soft computing is the recent development about the computing methods which include fuzzy set theory/logic, evolutionary computation (EC), probabilistic reasoning, artificial neural networks, machine learning, expert systems, etc. Soft computing refers to a partnership of computational techniques in computer science, artificial intelligence, machine learning, and some other engineering disciplines, which attempt to study, model, and analyze complex problems from different interdisciplinary problems. This, as opposed to traditional computing, deals with approximate models and gives solutions to complex real-life problems. Unlike hard computing, soft computing is tolerant of imprecision, uncertainty, partial truth, and approximations. Interdisciplinary sciences include various challenging problems of science and engineering. Recent developments in soft computing are the bridge to handle different interdisciplinary science and engineering problems. In recent years, the correspondingly increased dialog between these disciplines has led to this new book. This is done, firstly, by encouraging the ways that soft computing may be applied in traditional areas, as well as point towards new and innovative areas of applications and secondly, by encouraging other scientific disciplines to engage in a dialog with the above computation algorithms outlining their problems to both access new methods as well as to suggest innovative developments within itself.

Numerical Methods for Nonsmooth Dynamical Systems

Vincent Acary,Bernard Brogliato
Numerical Methods for Nonsmooth Dynamical Systems Book PDF

Author : Vincent Acary,Bernard Brogliato
Publisher : Springer Science & Business Media
Page : 525 pages
File Size : 51,7 Mb
Release : 2008-01-30
Category : Technology & Engineering
ISBN : 9783540753926

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Numerical Methods for Nonsmooth Dynamical Systems by Vincent Acary,Bernard Brogliato Pdf

This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.

Soft-Computing-Based Nonlinear Control Systems Design

Singh, Uday Pratap,Tiwari, Akhilesh,Singh, Rajeev Kumar
Soft Computing Based Nonlinear Control Systems Design Book PDF

Author : Singh, Uday Pratap,Tiwari, Akhilesh,Singh, Rajeev Kumar
Publisher : IGI Global
Page : 388 pages
File Size : 40,7 Mb
Release : 2018-02-09
Category : Computers
ISBN : 9781522535324

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Soft-Computing-Based Nonlinear Control Systems Design by Singh, Uday Pratap,Tiwari, Akhilesh,Singh, Rajeev Kumar Pdf

A critical part of ensuring that systems are advancing alongside technology without complications is problem solving. Practical applications of problem-solving theories can model conflict and cooperation and aid in creating solutions to real-world problems. Soft-Computing-Based Nonlinear Control Systems Design is a critical scholarly publication that examines the practical applications of control theory and its applications in problem solving to fields including economics, environmental management, and financial modelling. Featuring a wide range of topics, such as fuzzy logic, nature-inspired algorithms, and cloud computing, this book is geared toward academicians, researchers, and students seeking relevant research on control theory and its practical applications.

Mathematical Methods in Dynamical Systems

S. Chakraverty,Subrat Kumar Jena
Mathematical Methods in Dynamical Systems Book PDF

Author : S. Chakraverty,Subrat Kumar Jena
Publisher : CRC Press
Page : 393 pages
File Size : 49,6 Mb
Release : 2023-05-19
Category : Mathematics
ISBN : 9781000833775

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Mathematical Methods in Dynamical Systems by S. Chakraverty,Subrat Kumar Jena Pdf

The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.

Polynomial Chaos Methods for Hyperbolic Partial Differential Equations

Mass Per Pettersson,Gianluca Iaccarino,Jan Nordström
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations Book PDF

Author : Mass Per Pettersson,Gianluca Iaccarino,Jan Nordström
Publisher : Springer
Page : 214 pages
File Size : 50,9 Mb
Release : 2015-03-10
Category : Technology & Engineering
ISBN : 9783319107141

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Polynomial Chaos Methods for Hyperbolic Partial Differential Equations by Mass Per Pettersson,Gianluca Iaccarino,Jan Nordström Pdf

This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-based techniques. The text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties. Polynomial Chaos Methods of Hyperbolic Partial Differential Equations focuses on the analysis of stochastic Galerkin systems obtained for linear and non-linear convection-diffusion equations and for a systems of conservation laws; a detailed well-posedness and accuracy analysis is presented to enable the design of robust and stable numerical methods. The exposition is restricted to one spatial dimension and one uncertain parameter as its extension is conceptually straightforward. The numerical methods designed guarantee that the solutions to the uncertainty quantification systems will converge as the mesh size goes to zero. Examples from computational fluid dynamics are presented together with numerical methods suitable for the problem at hand: stable high-order finite-difference methods based on summation-by-parts operators for smooth problems, and robust shock-capturing methods for highly nonlinear problems. Academics and graduate students interested in computational fluid dynamics and uncertainty quantification will find this book of interest. Readers are expected to be familiar with the fundamentals of numerical analysis. Some background in stochastic methods is useful but notnecessary.

Neural Network Modeling and Identification of Dynamical Systems

Yuri Tiumentsev,Mikhail Egorchev
Neural Network Modeling and Identification of Dynamical Systems Book PDF

Author : Yuri Tiumentsev,Mikhail Egorchev
Publisher : Academic Press
Page : 332 pages
File Size : 41,9 Mb
Release : 2019-05-17
Category : Science
ISBN : 9780128154304

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Neural Network Modeling and Identification of Dynamical Systems by Yuri Tiumentsev,Mikhail Egorchev Pdf

Neural Network Modeling and Identification of Dynamical Systems presents a new approach on how to obtain the adaptive neural network models for complex systems that are typically found in real-world applications. The book introduces the theoretical knowledge available for the modeled system into the purely empirical black box model, thereby converting the model to the gray box category. This approach significantly reduces the dimension of the resulting model and the required size of the training set. This book offers solutions for identifying controlled dynamical systems, as well as identifying characteristics of such systems, in particular, the aerodynamic characteristics of aircraft. Covers both types of dynamic neural networks (black box and gray box) including their structure, synthesis and training Offers application examples of dynamic neural network technologies, primarily related to aircraft Provides an overview of recent achievements and future needs in this area

Uncertain Computation-based Decision Theory

Aliev Rafig Aziz
Uncertain Computation based Decision Theory Book PDF

Author : Aliev Rafig Aziz
Publisher : World Scientific
Page : 540 pages
File Size : 54,7 Mb
Release : 2017-12-06
Category : Mathematics
ISBN : 9789813228955

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Uncertain Computation-based Decision Theory by Aliev Rafig Aziz Pdf

Uncertain computation is a system of computation and reasoning in which the objects of computation are not values of variables but restrictions on values of variables. This compendium includes uncertain computation examples based on interval arithmetic, probabilistic arithmetic, fuzzy arithmetic, Z-number arithmetic, and arithmetic with geometric primitives. The principal problem with the existing decision theories is that they do not have capabilities to deal with such environment. Up to now, no books where decision theories based on all generalizations level of information are considered. Thus, this self-containing volume intends to overcome this gap between real-world settings' decisions and their formal analysis. Contents: Decision EnvironmentAnalysis of the Existing Decision TheoriesInterval ComputationProbabilistic ArithmeticFuzzy Type-1 and Fuzzy Type-2 ComputationsComputation with Z-NumbersComputation with U-NumbersFuzzy Geometry Based ComputationsInterval Granular-Based Decision MakingDecision Making in Fuzzy EnvironmentThe Z-Restriction Centered Decision TheorySimulation and Applications Readership: Researchers, academics, professionals and graduate students in fuzzy logic, decision sciences and mathematical economics. Keywords: Uncertain Computation;Decision Making;Interval Arithmetic;Fuzzy Arithmetic;Z-Number;Combined State;Fuzzy EconomicsReview:0

Modelling, Simulation and Control of Non-linear Dynamical Systems

Patricia Melin,Oscar Castillo
Modelling Simulation and Control of Non linear Dynamical Systems Book PDF

Author : Patricia Melin,Oscar Castillo
Publisher : CRC Press
Page : 149 pages
File Size : 40,8 Mb
Release : 2001-10-25
Category : Mathematics
ISBN : 9781000611960

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Modelling, Simulation and Control of Non-linear Dynamical Systems by Patricia Melin,Oscar Castillo Pdf

These authors use soft computing techniques and fractal theory in this new approach to mathematical modeling, simulation and control of complexion-linear dynamical systems. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented. It is illustrated with examples on the PROLOG programming la

Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems

Snehashish Chakraverty,Saudamini Rout
Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems Book PDF

Author : Snehashish Chakraverty,Saudamini Rout
Publisher : Springer Nature
Page : 152 pages
File Size : 45,8 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031024245

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Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems by Snehashish Chakraverty,Saudamini Rout Pdf

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems. Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. As such, this book addresses the solution of uncertain static and dynamic problems based on affine arithmetic approaches. Affine arithmetic is one of the recent developments designed to handle such uncertainties in a different manner which may be useful for overcoming the dependency problem and may compute better enclosures of the solutions. Further, uncertain static and dynamic problems turn into interval and/or fuzzy linear/nonlinear systems of equations and eigenvalue problems, respectively. Accordingly, this book includes newly developed efficient methods to handle the said problems based on the affine and interval/fuzzy approach. Various illustrative examples concerning static and dynamic problems of structures have been investigated in order to show the reliability and efficacy of the developed approaches.

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems

Chakraverty, S.
Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems Book PDF

Author : Chakraverty, S.
Publisher : IGI Global
Page : 441 pages
File Size : 41,5 Mb
Release : 2014-01-31
Category : Mathematics
ISBN : 9781466649927

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Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems by Chakraverty, S. Pdf

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.

Intelligent Techniques and Soft Computing for Nuclear Science and Engineering

Da Ruan
Intelligent Techniques and Soft Computing for Nuclear Science and Engineering Book PDF

Author : Da Ruan
Publisher : World Scientific
Page : 560 pages
File Size : 45,9 Mb
Release : 2000
Category : Technology & Engineering
ISBN : 9810243561

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Intelligent Techniques and Soft Computing for Nuclear Science and Engineering by Da Ruan Pdf

This book is divided into three parts. The first part, ?Mathematical Tools and New Developments?, provides basic tools to treat fuzzy set theory, rough set theory, fuzzy control, fuzzy modelling, decision support systems, and related applications. The second part, ?Intelligent Engineering Applications?, reports on engineering problems such as man-machine interface, risk analysis, image processing, robotics, knowledge-based engineering, expert systems, process control integration, diagnosis, measurements and interpretation by intelligent techniques and soft computing used for general engineering applications. The third part, ?Nuclear Engineering Applications?, concentrates on nuclear applications and covers several topics such as nuclear energy, nuclear safety assessment, radioactive waste management, nuclear measurements, nuclear safeguards, nuclear reactor operation, reactor controller design, fuel reload pattern design, signal validation, nuclear power plants, and optimizations in nuclear applications.