This book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing. All the papers were presented at the international conference on FIM28-SCMSPS20 virtually held at Sri Sivasubramaniya Nadar (SSN) College of Engineering, Chennai, India, and Stella Maris College (Autonomous), Chennai, from November 23–27, 2020. The conference was jointly held with the support of the Forum for Interdisciplinary Mathematics. Both the invited articles and submitted papers were broadly grouped under three heads: Part 1 on analysis and modeling (six chapters), Part 2 on discrete mathematics and applications (six chapters), and Part 3 on fuzzy sets and soft computing (three chapters).
Author(s): P. V. Subrahmanyam, V. Antony Vijesh, Balasubramaniam Jayaram, Prakash Veeraraghavan
Series: Forum for Interdisciplinary Mathematics
Publisher: Springer
Year: 2023
Language: English
Pages: 224
City: Singapore
Preface
Contents
About the Editors
1 The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function
1.1 Introduction and Motivations
1.2 The Second- and Third-Order Hermitian Toeplitz Determinants for script upper S Superscript asterisk Baseline left parenthesis e Superscript z Baseline right parenthesismathcalS* (ez), script upper C left parenthesis e Superscript z Baseline right parenthesismathcalC (ez), script upper S Subscript s Superscript asterisk Baseline left parenthesis e Superscript z Baseline right parenthesis mathcalSs *(ez) and script upper C Subscript s Baseline left parenthesis e Superscript z Baseline right parenthesismathcalCs (ez)
References
2 Some Results on a Starlike Class with Respect to left parenthesis j comma m right parenthesis(j,m)-Symmetric Functions
2.1 Introduction
2.2 Important Results
References
3 Experimental Evaluation of Four Intermediate Filters to Improve the Motion Field Estimation
3.1 Introduction
3.1.1 Related Works
3.1.2 Optical Flow Filtering
3.1.3 Contribution of this Work
3.2 Preliminary
3.2.1 Linearized Color Constancy Constraint
3.2.2 Image Warping
3.2.3 Image Pyramid
3.3 Intermediate Filters
3.3.1 Bilateral Filter
3.3.2 Median Filter
3.3.3 Weighted Median Filter
3.3.4 Balanced Median Filter
3.4 Dataset and Experiments
3.4.1 Dataset
3.4.2 Experiments
3.5 Results and Discussion
3.5.1 Comparison with Other Methods
3.5.2 Bidimensional Empirical Mode Decomposition
3.5.3 Processing Time
3.5.4 Discussion
3.6 Conclusions
References
4 On the s normal t normal hsth Derivative of a Polynomial
4.1 Introduction and Statement of Results
4.2 Lemmas
4.3 Proof of Theorem 1
References
5 On the Problem of Pricing a Double Barrier Option in a Modified Black-Scholes Environment
5.1 Introduction
5.2 The Stochastic Market
5.3 The Stochastic Volatility Process StartSet sigma left parenthesis t right parenthesis comma t greater than or equals 0 EndSet{σ(t), t 0}
5.4 An Equivalent Martingale Measure
5.5 The Conditional Transition Probability Density Function
5.6 The Barrier Densities g Superscript plus or minus Baseline left parenthesis t comma x semicolon s right parenthesisgpm(t,x;s)
5.7 Option Value at Maturity
5.8 Conclusion
References
6 Caputo Sequential Fractional Differential Equations with Applications
6.1 Introduction
6.2 Preliminaries
6.3 Main Results
6.3.1 Solution of Linear Sequential Caputo Fractional Differential Equations with Fractional Initial Conditions
References
7 Herscovici's Conjecture on Product of Some Complete Bipartite Graphs
7.1 Introduction
7.2 Preliminaries
7.3 Main Result
References
8 On Fault-Tolerant Metric Dimension of Heptagonal Circular Ladder and Its Related Graphs
8.1 Introduction
8.2 Preliminaries
8.3 Fault-Tolerant Metric Number for normal upper Gamma Subscript nΓn
8.4 Fault-Tolerant Metric Number for normal upper Sigma Subscript nΣn
8.5 Bounds on FTMD for the Plane Graph normal upper Upsilon Subscript nΥn
8.6 Conclusion
References
9 BKS Fuzzy Inference Employing hh-Implications
9.1 Introduction
9.2 Preliminaries
9.3 Bandler–Kohout Subproduct with hh-Implication
9.4 BKS with hh-Implications: Its Suitability
9.4.1 Interpolativity of BKS with hh-Implications
9.4.2 Continuity of BKS with hh-Implications
9.4.3 Robustness of BKS with hh-Implications
9.5 An Illustrative Example
9.6 Conclusions
References
10 Note on Distributivity of Different String Operations Over Language Sets
10.1 Introduction
10.2 Preliminaries
10.3 Duplication Operations and Language Operations
10.3.1 Distributive Nature of Duplication Operations over Set Operations
10.3.2 Distributive Nature of Duplication Operations over Concatenation
10.3.3 Distributive Nature of Duplication Operations over Other Language Operations
10.4 Conclusions
References
11 A Generalization of chiχ-Binding Functions
11.1 Introduction
11.2 StartSet 2 upper K 2 comma upper C 4 union upper K 1 EndSet{2K2,C4K1}-Free Graphs
11.3 A left parenthesis chi comma alpha comma omega right parenthesis(χ, α, ω)-Binding Function
11.3.1 Applications of Theorem B
11.4 Conclusion
References
12 A Short Proof of Ore's f-Factor Theorem Using Flows
12.1 Introduction
12.2 Notation and Terminology
12.3 New Proof of Ore's Theorem
12.4 A Deficiency Version of Ore's Theorem
References
13 A Decision-Making Problem Involving Soft Fuzzy Number Valued Information System: Energy-Efficient Light-Emitting Diode Blubs
13.1 Introduction
13.2 Preliminaries
13.3 Problem of Choosing a LED Bulb Based on Various Characteristic Properties for Different Usages
13.4 Experimental Studies
13.5 Mathematical Modeling of the Experimental Studies and Catalog Information
13.6 Measuring the Efficiency of the Bulb in Different Brands: Procedure and Inference
13.7 Conclusion
References
14 Role of Single Valued Linear Octagonal Neutrosophic Numbers in Multi-attribute Decision-Making Problems
14.1 Introduction
14.2 Single Valued Linear Octagonal Neutrosophic Number
14.3 Value and Ambiguity Index-Based Ranking for SVLONNs
14.4 Formulation of a Multi-attribute Decision-Making Problem
14.5 Illustration of MADM Problem
14.6 Conclusion
References
