Ordinary And Fractional Approximation By Non Additive Integrals Choquet Shilkret And Sugeno Integral Approximators

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Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators

George A. Anastassiou
Ordinary and Fractional Approximation by Non additive Integrals Choquet Shilkret and Sugeno Integral Approximators Book PDF

Author : George A. Anastassiou
Publisher : Springer
Page : 347 pages
File Size : 40,7 Mb
Release : 2018-12-07
Category : Technology & Engineering
ISBN : 9783030042875

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Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators by George A. Anastassiou Pdf

Ordinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book’s findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.

Banach Space Valued Neural Network

George A. Anastassiou
Banach Space Valued Neural Network Book PDF

Author : George A. Anastassiou
Publisher : Springer Nature
Page : 429 pages
File Size : 45,5 Mb
Release : 2022-10-01
Category : Technology & Engineering
ISBN : 9783031164002

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Banach Space Valued Neural Network by George A. Anastassiou Pdf

This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are Banach space valued. These are induced by a great variety of activation functions deriving from the arctangent, algebraic, Gudermannian, and generalized symmetric sigmoid functions. Ordinary, fractional, fuzzy, and stochastic approximations are exhibited at the univariate, fractional, and multivariate levels. Iterated-sequential approximations are also covered. The book’s results are expected to find applications in the many areas of applied mathematics, computer science and engineering, especially in artificial intelligence and machine learning. Other possible applications can be in applied sciences like statistics, economics, etc. Therefore, this book is suitable for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.

Abstract Fractional Monotone Approximation, Theory and Applications

George A. Anastassiou
Abstract Fractional Monotone Approximation Theory and Applications Book PDF

Author : George A. Anastassiou
Publisher : Springer Nature
Page : 155 pages
File Size : 41,8 Mb
Release : 2022-03-11
Category : Technology & Engineering
ISBN : 9783030959432

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Abstract Fractional Monotone Approximation, Theory and Applications by George A. Anastassiou Pdf

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

Fractional Inequalities In Banach Algebras

George A. Anastassiou
Fractional Inequalities In Banach Algebras Book PDF

Author : George A. Anastassiou
Publisher : Springer Nature
Page : 312 pages
File Size : 53,9 Mb
Release : 2022-05-12
Category : Technology & Engineering
ISBN : 9783031051487

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Fractional Inequalities In Banach Algebras by George A. Anastassiou Pdf

This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.

Parametrized, Deformed and General Neural Networks

George A. Anastassiou
Parametrized Deformed and General Neural Networks Book PDF

Author : George A. Anastassiou
Publisher : Springer Nature
Page : 854 pages
File Size : 51,5 Mb
Release : 2023-09-29
Category : Technology & Engineering
ISBN : 9783031430213

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Parametrized, Deformed and General Neural Networks by George A. Anastassiou Pdf

In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less neurons than the original one. The asymmetry of the brain is best expressed by deformed activation functions. Along with a great variety of activation functions, general activation functions are also engaged. Thus, in this book, all presented is original work by the author given at a very general level to cover a maximum number of different kinds of neural networks: giving ordinary, fractional, fuzzy and stochastic approximations. It presents here univariate, fractional and multivariate approximations. Iterated sequential multi-layer approximations are also studied. The functions under approximation and neural networks are Banach space valued.

Non-Additive Measures

Vicenc Torra,Yasuo Narukawa,Michio Sugeno
Non Additive Measures Book PDF

Author : Vicenc Torra,Yasuo Narukawa,Michio Sugeno
Publisher : Springer
Page : 207 pages
File Size : 47,9 Mb
Release : 2013-10-23
Category : Technology & Engineering
ISBN : 9783319031552

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Non-Additive Measures by Vicenc Torra,Yasuo Narukawa,Michio Sugeno Pdf

This book provides a comprehensive and timely report in the area of non-additive measures and integrals. It is based on a panel session on fuzzy measures, fuzzy integrals and aggregation operators held during the 9th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2012) in Girona, Spain, November 21-23, 2012. The book complements the MDAI 2012 proceedings book, published in Lecture Notes in Computer Science (LNCS) in 2012. The individual chapters, written by key researchers in the field, cover fundamental concepts and important definitions (e.g. the Sugeno integral, definition of entropy for non-additive measures) as well some important applications (e.g. to economics and game theory) of non-additive measures and integrals. The book addresses students, researchers and practitioners working at the forefront of their field.

Quantitative Approximation

Ronald A. DeVore,Karl Scherer
Quantitative Approximation Book PDF

Author : Ronald A. DeVore,Karl Scherer
Publisher : Unknown
Page : 344 pages
File Size : 41,6 Mb
Release : 1980
Category : Mathematics
ISBN : UCAL:B4407267

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Quantitative Approximation by Ronald A. DeVore,Karl Scherer Pdf

On an inequality for the sharp function; On the best co-approximation in a Hilbert Space; What is the main diagonal of a biinfinite band matrix? Rational approximation and exotic Lipschitz Spaces; Some mathematical properties of empirical gibbs functions; Multivariate interpolation and the Radon transform, part II: Some further examples; Lacunary trigonometric interpolation on equidistant nodes; Monotone approximation by spline functions; Approximation by smooth multivariate splines on nonuniform grids; Approximation by small rank tensor products of splines; Variables knot, variable degree spline approximation to XB; On sharp necessary conditions for radial fourier multipliers; Approximating bivariate functions and matrices by nomographic functions; Diameters of classes of smooth functions; On estimates of diameters; Bounds for the error in trignometric hermite interpolation.

Structural Equation Models

J. Christopher Westland
Structural Equation Models Book PDF

Author : J. Christopher Westland
Publisher : Springer
Page : 175 pages
File Size : 41,8 Mb
Release : 2015-04-25
Category : Technology & Engineering
ISBN : 9783319165073

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Structural Equation Models by J. Christopher Westland Pdf

This compact reference surveys the full range of available structural equation modeling (SEM) methodologies. It reviews applications in a broad range of disciplines, particularly in the social sciences where many key concepts are not directly observable. This is the first book to present SEM’s development in its proper historical context–essential to understanding the application, strengths and weaknesses of each particular method. This book also surveys the emerging path and network approaches that complement and enhance SEM, and that will grow importance in the near future. SEM’s ability to accommodate unobservable theory constructs through latent variables is of significant importance to social scientists. Latent variable theory and application are comprehensively explained and methods are presented for extending their power, including guidelines for data preparation, sample size calculation and the special treatment of Likert scale data. Tables of software, methodologies and fit statistics provide a concise reference for any research program, helping assure that its conclusions are defensible and publishable.

Qualitative Analysis and Control of Complex Neural Networks with Delays

Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Qualitative Analysis and Control of Complex Neural Networks with Delays Book PDF

Author : Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Publisher : Springer
Page : 388 pages
File Size : 46,9 Mb
Release : 2015-07-18
Category : Technology & Engineering
ISBN : 9783662474846

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Qualitative Analysis and Control of Complex Neural Networks with Delays by Zhanshan Wang,Zhenwei Liu,Chengde Zheng Pdf

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Advanced Discrete-Time Control

Khalid Abidi,Jian-Xin Xu
Advanced Discrete Time Control Book PDF

Author : Khalid Abidi,Jian-Xin Xu
Publisher : Springer
Page : 232 pages
File Size : 46,8 Mb
Release : 2015-03-25
Category : Technology & Engineering
ISBN : 9789812874788

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Advanced Discrete-Time Control by Khalid Abidi,Jian-Xin Xu Pdf

This book covers a wide spectrum of systems such as linear and nonlinear multivariable systems as well as control problems such as disturbance, uncertainty and time-delays. The purpose of this book is to provide researchers and practitioners a manual for the design and application of advanced discrete-time controllers. The book presents six different control approaches depending on the type of system and control problem. The first and second approaches are based on Sliding Mode control (SMC) theory and are intended for linear systems with exogenous disturbances. The third and fourth approaches are based on adaptive control theory and are aimed at linear/nonlinear systems with periodically varying parametric uncertainty or systems with input delay. The fifth approach is based on Iterative learning control (ILC) theory and is aimed at uncertain linear/nonlinear systems with repeatable tasks and the final approach is based on fuzzy logic control (FLC) and is intended for highly uncertain systems with heuristic control knowledge. Detailed numerical examples are provided in each chapter to illustrate the design procedure for each control method. A number of practical control applications are also presented to show the problem solving process and effectiveness with the advanced discrete-time control approaches introduced in this book.

Intelligent Transportation Systems – Problems and Perspectives

Aleksander Sładkowski,Wiesław Pamuła
Intelligent Transportation Systems Problems and Perspectives Book PDF

Author : Aleksander Sładkowski,Wiesław Pamuła
Publisher : Springer
Page : 303 pages
File Size : 40,9 Mb
Release : 2015-06-24
Category : Technology & Engineering
ISBN : 9783319191508

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Intelligent Transportation Systems – Problems and Perspectives by Aleksander Sładkowski,Wiesław Pamuła Pdf

This book presents a discussion of problems encountered in the deployment of Intelligent Transport Systems (ITS). It puts emphasis on the early tasks of designing and proofing the concept of integration of technologies in Intelligent Transport Systems. In its first part the book concentrates on the design problems of urban ITS. The second part of the book features case studies representative for the different modes of transport. These are freight transport, rail transport and aerospace transport encompassing also space stations. The book provides ideas for deployment which may be developed by scientists and engineers engaged in the design of Intelligent Transport Systems. It can also be used in the training of specialists, students and post-graduate students in universities and transport high schools.

Continuous and Distributed Systems II

Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky
Continuous and Distributed Systems II Book PDF

Author : Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky
Publisher : Springer
Page : 387 pages
File Size : 55,8 Mb
Release : 2015-06-04
Category : Technology & Engineering
ISBN : 9783319190754

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Continuous and Distributed Systems II by Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky Pdf

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.

Fuzzy Control in Environmental Engineering

Wojciech Z. Chmielowski
Fuzzy Control in Environmental Engineering Book PDF

Author : Wojciech Z. Chmielowski
Publisher : Springer
Page : 0 pages
File Size : 53,9 Mb
Release : 2016-10-15
Category : Technology & Engineering
ISBN : 3319370294

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Fuzzy Control in Environmental Engineering by Wojciech Z. Chmielowski Pdf

This book is intended for engineers, technicians and people who plan to use fuzzy control in more or less developed and advanced control systems for manufacturing processes, or directly for executive equipment. Assuming that the reader possesses elementary knowledge regarding fuzzy sets and fuzzy control, by way of a reminder, the first parts of the book contain a reminder of the theoretical foundations as well as a description of the tools to be found in the Matlab/Simulink environment in the form of a toolbox. The major part of the book presents applications for fuzzy controllers in control systems for various manufacturing and engineering processes. It presents seven processes and problems which have been programmed using fuzzy controllers. The issues discussed concern the field of Environmental Engineering. Examples are the control of a flood wave passing through a hypothetical, and then the real Dobczyce reservoir in the Raba River, which is located in the upper Vistula River basin in Southern Poland, the control and water management in a cascade of reservoirs, a broadly defined combustion process model, modern water heating systems and many other.

Smart Electromechanical Systems

Andrey E. Gorodetskiy
Smart Electromechanical Systems Book PDF

Author : Andrey E. Gorodetskiy
Publisher : Springer
Page : 277 pages
File Size : 52,7 Mb
Release : 2015-12-29
Category : Technology & Engineering
ISBN : 9783319275475

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Smart Electromechanical Systems by Andrey E. Gorodetskiy Pdf

This carefully edited book introduces the latest achievements of the scientists of the Russian Academy of Sciences in the field of theory and practice of Smart Electromechanical Systems (SEMS). The book also focuses on methods of designing and modeling of SEMS based on the principles of adaptability, intelligence, biomorphism of parallel kinematics and parallelism in information processing and control computation. The book chapters are dedicated to the following points of interest: - methods of design of SEMS modules and intelligent robots based on them; - synthesis of neural systems of automatic control over SEMS modules; - mathematical and computer modeling of SEMS modules and Cyber Physical Systems based on them; - vitality control and reliability analysis based on logic-and-probabilistic and logic-and-linguistic forecasting; - methods of optimization of SEMS control systems based on mathematical programming methods in ordinal scale and generalized mathematical programming; - information-measuring software of SEMS modules and CPS based on them. This book is intended for students, scientists and engineers specializing in the field of SEMS and robotics, and includes many scientific domains such as kinematics, dynamics, control theory.

Innovative Simulation Systems

Aleksander Nawrat,Karol Jędrasiak
Innovative Simulation Systems Book PDF

Author : Aleksander Nawrat,Karol Jędrasiak
Publisher : Springer
Page : 0 pages
File Size : 48,5 Mb
Release : 2016-10-15
Category : Technology & Engineering
ISBN : 3319370596

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Innovative Simulation Systems by Aleksander Nawrat,Karol Jędrasiak Pdf

This monograph provides comprehensive guidelines on the current and future trends of innovative simulation systems. In particular, their important components, such as augmented reality and unmanned vehicles are presented. The book consists of three parts. Each part presents good practices, new methods, concepts of systems and new algorithms. Presented challenges and solutions are the results of research and conducted by the contributing authors. The book describes and evaluates the current state of knowledge in the field of innovative simulation systems. Throughout the chapters there are presented current issues and concepts of systems, technology, equipment, tools, research challenges and current, past and future applications of simulation systems. The book is addressed to a wide audience: academic staff, representatives of research institutions, employees of companies and government agencies as well as students and graduates of technical universities in the country and abroad. The book can be a valuable source of information for constructors and developers of innovative simulation systems and their components. Scientists and researchers involved in mechanics, control algorithms, image processing, computer vision or data fusion can find many valuable suggestions and solutions.