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.
Author(s): Pradip Debnath, Oscar Castillo, Poom Kumam
Series: Edge AI in Future Computing
Publisher: CRC Press
Year: 2023
Language: English
Pages: 246
City: Boca Raton
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
