Recent Advances in Applications of Computational and Fuzzy Mathematics. ([2018])

• Record Type: Book
• Further Information: Note: Snehashish Chakraverty, Sanjeewa Perera, editors.
• Editors: Chakraverty, Snehashish; Perera, Sanjeewa
• 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 of 2D 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 for Shallow Water Equations with Fuzzy Initial Condition. 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 or Delta 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. 2.6 ANN Based Procedure for Solving 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 for Localization 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. 4 Modeling Radon Diffusion Equation by Using Fuzzy Polynomials in Galerkin'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 on BCOPs to Solve 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. 4.8.1 Fuzzy Boundary Characteristic Orthogonal Polynomials4.8.2 Galerkin's Method Based on Fuzzy 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 for Families of Curves [14]; 5.2.2 Symmetries and ODEs; 5.3 Static Deflection of a Euler-Bernoulli Beam with Distributed Load; 5.3.1 Solution by Symmetry Method; 5.3.2 Preliminaries of Fuzzy and Interval [15, 16].
• Publisher Details: Singapore : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 511.313; Fuzzy logic; Logic, Symbolic and mathematical; Mathematics; Signal processing; Artificial intelligence -- Congresses; Planning -- Congresses; Airplanes, Military -- Radar equipment; Radar -- Interference; Airborne warning and control systems; Artificial intelligence; Planning; Electronic books; Conference papers and proceedings; Conference papers and proceedings
• Languages: English
• ISBNs: 9789811311536; 9811311536
• Related ISBNs: 9789811311529; 9811311528
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF file page (EBSCO, viewed July 20 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.