Soft Computing Recent Advances and Applications in Engineering and Mathematical Sciences

Description

This book explores soft computing techniques in a systematic manner starting from their initial stage to recent developments in this area. The book presents a survey of the existing knowledge and the current state-of-the-art development through cutting-edge original new contributions from the researchers. Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences presents a survey of the existing knowledge and the current state-of-the-art development through cutting-edge original new contributions from the researchers. As suggested by the title, this book particularly focuses on the recent advances and applications of soft computing techniques in engineering and mathematical sciences. Chapter 1 describes the contribution of soft computing techniques towards a new paradigm shift. The subsequent chapters present a systematic application of fuzzy logic in mathematical sciences and decision-making. New research directions are also provided at the end of each chapter. The application of soft computing in health sciences and in the modeling of epidemics including the effects of vaccination are also examined. Sustainability of green product development, optimum design of 3D steel frame, digitalization investment analysis in the maritime industry, forecasting return rates of individual pension funds are among some of the topics where engineering and industrial applications of soft computing have been studied in the book. The readers of this book will require minimum prerequisites of undergraduate studies in computation and mathematics. This book is meant for graduate students, faculty, and researchers who are applying soft computing in engineering and mathematics. New research directions are also provided at the end of each chapter. Cover Half Title Series Page Title Page Copyright Page Table of Contents Preface Editors Contributor Chapter 1 A Study on Approximate Fixed Point Property in Intuitionistic Fuzzy n-Normed Linear Spaces 1.1 Introduction 1.2 Preliminaries 1.3 Approximate Fixed Points in IFnNLS 1.4 Intuitionistic n-Fuzzy Contraction and Nonexpansive Mappings Bibliography Chapter 2 Sequential Extended Parametric and Sequential Extended Fuzzy b-Metrics with an Application in Integral Equations 2.1 Introduction 2.2 Main Results 2.3 Some Fixed Point Theorems 2.4 Sequential Extended Fuzzy b-Metric Spaces 2.5 Application Bibliography Chapter 3 Analytical Sequel of Rational-Type Fuzzy Contraction in Fuzzy b-Metric Spaces 3.1 Introduction 3.1.1 Background 3.1.2 Main Goal 3.2 Basic Definitions 3.3 Main Results of the Chapter 3.3.1 Definition of Rational-Type Fuzzy Contraction in Fb-MS 3.3.2 Related Theorems of Rational-Type Fuzzy Contraction 3.3.3 Corollaries 3.4 Application of Rational-Type Fuzzy Contraction 3.5 Conclusion Bibliography Chapter 4 Weak-Wardowski Contractions in Generalized Triple-Controlled Modular Metric Spaces and Generalized Triple-Controlled Fuzzy Metric Spaces 4.1 Introduction 4.2 Generalized Triple-Controlled Modular Metric Spaces 4.3 Main Results 4.4 Weak-Wardowski Contraction 4.5 Generalized Triple-Controlled Fuzzy Metric Spaces 4.6 Application Bibliography Chapter 5 Some First-Order-Like Methods for Solving Systems of Nonlinear Equations 5.1 Introduction 5.2 Algorithms and Convergence Analysis 5.2.1 Modified CD Method 5.2.2 A Spectral DY-Type Method 5.3 Numerical Experiments 5.4 Conclusion Bibliography Chapter 6 Cubic Inverse Soft Set 6.1 Introduction 6.2 Preliminaries 6.3 Inverse Interval-Valued Fuzzy Soft (i.v.F.so.) set 6.4 Cubic Inverse Soft Set 6.5 P, R-Union and Intersection of Cubic Inverse Soft Sets 6.6 Conclusion Bibliography Chapter 7 Inverse Soft-Rough Matrices 7.1 Introduction 7.2 Preliminaries 7.3 Inverse Soft-Rough (S.R.) Set and Inverse Soft-Rough (S.R.) Matrix 7.4 MCDM on Inverse S.R. Matrix 7.4.1 Algorithm 7.5 Conclusion Bibliography Chapter 8 New Observations on Lacunary I-Invariant Convergence for Sequences in Fuzzy Cone Normed Spaces 8.1 Introduction 8.1.1 Background 8.1.2 Main Goal 8.2 Basic Definitions 8.3 Prime Results of the Chapter 8.3.1 Essential Definitions 8.3.2 Main Results 8.4 Conclusion Bibliography Chapter 9 Some Convergent Sequence Spaces of Fuzzy Star-Shaped Numbers 9.1 Introduction 9.1.1 Background 9.1.2 Main Goal 9.2 Basic Definitions 9.3 Prime Results of the Chapter 9.3.1 Essential Definitions 9.3.2 Theorems for Main Result 9.4 Conclusion Bibliography Chapter 10 Digitalization Investment Analysis in Maritime Industry with Interval-Valued Pythagorean Fuzzy Present Worth Analysis 10.1 Introduction 10.2 Literature Review 10.3 Preliminaries: Interval-Valued Pythagorean Fuzzy Sets 10.4 Interval-Valued Pythagorean Fuzzy Present Worth Analysis 10.5 Application 10.6 Results and Discussion 10.7 Conclusion Bibliography Chapter 11 Composite Mapping on Hesitant Fuzzy Soft Classes 11.1 Introduction 11.2 Background 11.3 Preliminary Results 11.4 Mapping on Hesitant Fuzzy Soft Classes 11.5 Conclusion Bibliography Chapter 12 Ulam Stability of Mixed Type Functional Equation in Non-Archimedean IFN-Space 12.1 Introduction 12.2 Ulam Stability by Even Case: Direct Approach 12.3 Ulam Stability by Even Case: Fixed-Point Approach 12.4 Ulam Stability by Odd Case: Direct Approach 12.5 Ulam Stability by Odd Case: Fixed-Point Approach Bibliography Chapter 13 Optimum Design of 3D Steel Frames with Composite Slabs Using Adaptive Harmony Search Method 13.1 Introduction 13.2 Discrete Optimum Design of Space Steel Frames with Composite Slabs to LRFD-AISC 13.2.1 The Objective Function 13.2.2 Strength Constraints 13.2.3 Displacement Constraints 13.2.3.1 Deflection Constraints 13.2.3.2 Drift Constraints 13.2.4 Geometric Constraints 13.2.4.1 Column-to-Column Geometric Constraints 13.2.4.2 Beam-to-Column Geometric Constraints 13.2.5 Design Constraints for Composite Slab 13.2.5.1 Shear Yield Check 13.2.5.2 Bending Check 13.3 Soft Computing Techniques 13.3.1 Adaptive Harmony Search Method 13.3.1.1 Initialization of a Parameter Set 13.3.1.2 Initialization of Harmony Memory Matrix 13.3.1.3 Evaluation of Harmony Memory Matrix 13.3.1.4 Generating a New Harmony Vector 13.3.1.5 Update of Harmony Memory and Adaptivity 13.3.1.6 Termination 13.3.2 Biogeography Based Optimization Algorithm with Levy Flight 13.3.2.1 Levy Flight Strategy 13.3.3 Whale Optimization Algorithm 13.3.3.1 Encircling Prey 13.3.3.2 Bubble-Net Attack 13.3.3.3 Search for Prey 13.3.3.4 Steps of Whale Optimization Algorithm 13.4 Design Examples 13.4.1 Steel Building with Irregular Plan and without composite Slabs (IFWOS) 13.4.2 Steel Building with Regular Plan and without Composite Slab (RFWOS) 13.4.3 Steel Building with Irregular Plan and Composite Slabs (IFWS) 13.4.4 Steel Building with Regular Plan and Composite Slabs (RFWS) 13.5 Discussion 13.6 Conclusions Bibliography Chapter 14 Fostering Sustainability in Open Innovation, to Select the Right Partner on Green Product Development 14.1 Introduction 14.2 Literature Review 14.3 Research Method 14.4 Variables Definition 14.5 System Development 14.6 Case Study 14.7 Final Conclusions Bibliography Index