| Description |
1 online resource |
| Contents |
Intro; Preface; About the Book; Contents; Editors and Contributors; 1 2-D Shallow Water Wave Equations with Fuzzy Parameters; 1.1 Introduction; 1.2 Preliminaries of Shallow Water Wave Equations; 1.3 Preliminaries of Fuzzy Sets; 1.4 Homotopy Perturbation Method; 1.4.1 Convergence of HPM Solution; 1.5 Solution of2D Coupled Shallow Water Wave Equations; 1.6 Shallow Water Wave Equations with Fuzzy Basin Depth; 1.7 Solution of Shallow Water Wave Equations with Fuzzy Basin Depth; 1.7.1 Convergence of HPM Solution forShallow Water Equations with Fuzzy Initial Condition |
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1.8 Numerical Results and Discussion1.9 Conclusion; References; 2 ANN Based Solution of Static Structural Problem with Fuzzy Parameters; 2.1 Introduction; 2.2 Architecture of Artificial Neural Network; 2.2.1 Feed-Forward Neural Network; 2.2.2 Feedback Neural Network; 2.3 Learning Rules; 2.3.1 Error Back-Propagation Learning Algorithm orDelta Learning Rule; 2.4 Activation Functions; 2.4.1 Sigmoid Function; 2.4.2 Tangent Hyperbolic Function; 2.5 Linear System of Equations; 2.5.1 Fully Interval Linear System of Equations |
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2.6 ANN Based Procedure forSolving Fully Interval Linear System of Equations2.6.1 Algorithm; 2.6.2 Convergence Theorem; 2.7 Numerical Examples; 2.8 Conclusion; References; 3 Fuzzy Matrix Contractor Based Approach forLocalization of Robots; 3.1 Introduction; 3.2 Preliminaries; 3.2.1 Fuzzy Sets; 3.2.2 Fuzzy Lattice; 3.3 Contractors; 3.3.1 Constraint Satisfaction Problem (CSP); 3.3.2 Fuzzy Contractors; 3.4 Localization of Group of Robots; 3.4.1 Absolute Localization; 3.4.2 Relative Localization; 3.5 Conclusion; References |
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4 Modeling Radon Diffusion Equation by Using Fuzzy Polynomials inGalerkin's Method4.1 Introduction; 4.2 Preliminaries; 4.2.1 Fuzzy Number; 4.2.2 Triangular Fuzzy Number(TFN); 4.2.3 Arithmetic Operations of Fuzzy Numbers; 4.3 Parametric Approach; 4.4 Boundary Characteristic Orthogonal Polynomials (Crisp); 4.5 Galerkin's Method; 4.6 Galerkin's Method Based onBCOPs toSolve Fuzzy Boundary Value Problems; 4.6.1 Fuzzy Boundary Characteristic Orthogonal Polynomials (FBCOPs); 4.7 Radon Diffusion Mechanism; 4.8 Radon Diffusion Mechanism with Uncertainty |
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4.8.1 Fuzzy Boundary Characteristic Orthogonal Polynomials4.8.2 Galerkin's Method Based onFuzzy Boundary Characteristic Orthogonal Polynomials; 4.9 Results and Discussions; 4.10 Conclusion; References; 5 Solving Fuzzy Static Structural Problems Using Symmetric Group Method; 5.1 Introduction; 5.2 Preliminaries; 5.2.1 Finding Differential Equations forFamilies of Curves [14]; 5.2.2 Symmetries and ODEs; 5.3 Static Deflection ofaEuler-Bernoulli Beam with Distributed Load; 5.3.1 Solution by Symmetry Method; 5.3.2 Preliminaries of Fuzzy and Interval [15, 16] |
| Summary |
This book addresses the basics of interval/fuzzy set theory, artificial neural networks (ANN) and computational methods. It presents step-by-step modeling for application problems along with simulation and numerical solutions. In general, every science and engineering problem is inherently biased by uncertainty, and there is often a need to model, solve and interpret problems in the world of uncertainty. At the same time, exact information about models and parameters of practical applications is usually not known and precise values do not exist. This book discusses uncertainty in both data and models. It consists of seven chapters covering various aspects of fuzzy uncertainty in application problems, such as shallow water wave equations, static structural problems, robotics, radon diffusion in soil, risk of invasive alien species and air quality quantification. These problems are handled by means of advanced computational and fuzzy theory along with machine intelligence when the uncertainties involved are fuzzy. The proposed computational methods offer new fuzzy computing methods that help other areas of knowledge construction where inexact information is present |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF file page (EBSCO, viewed July 20 2018) |
| Subject |
Fuzzy logic.
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Logic, Symbolic and mathematical.
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Mathematics.
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mathematics.
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applied mathematics.
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MATHEMATICS -- General.
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Fuzzy logic
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Logic, Symbolic and mathematical
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Mathematics
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| Genre/Form |
Electronic books
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proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Chakraverty, Snehashish, editor.
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Perera, Sanjeewa, editor
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| ISBN |
9789811311536 |
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9811311536 |
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