Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling

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