Mathematics of Intelligent Computing and Data Science

Vinod Kumar P.B. is Professor at the Department of Mathematics, Rajagiri School of Engineering and Technology (RSET), Cochin, Kerala, India. In order to encourage research in topology and related areas, he established the Centre for Topology and Applications at RSET and introduced dynamic topology to study nonstationary data. His work on independence polynomials and Mandelbrot graphs with his team members paved a path for researchers to new ventures. He is a member of the American Mathematical Society, London Mathematical Society, Mathematical Association of America, Society for Industrial and Applied Mathematics, the Indian Mathematical Society, and International Association of Engineers Council Member of the Indian Mathematical Society. His research areas are topology, topological dynamics, topological data analysis, fractals, and information theory. Patrizio Frosini is Professor of Mathematics at the University of Bologna, Italy. He is mainly interested in the study of the topological and metric properties concerning topological spaces and manifolds endowed with Rn-valued functions. He has introduced the concept of size function, a precursor to the concept of persistent homology. He is also interested in multidimensional persistent topology and homology and in the use of group equivariant non-expansive operators for topological data analysis, machine learning, and artificial intelligence. He studies the applications of the previous concepts to shape, image, and data comparison. P.B. Ramkumar is Professor at the Department of Mathematics, Rajagiri School of Engineering and Technology, Cochin, Kerala, India. His areas of research include mathematical morphology, hypergraphs, and fuzzy sets. He studied the application of morphological operators and morphological filtering on hypergraphs, convex geometrical structures, fuzzy graphs, and intuitionistic fuzzy graphs. He has organized many workshops and conferences in which experts from various parts of the globe participated. R. Binu is Associate Professor at the Department of Mathematics, Rajagiri School of Engineering and Technology, Cochin, Kerala, India. His area of research is neutrosophic fuzzy sets. He studied the characterizations of neutrosophic submodules and G-submodules. He studies the introduction of the tensor product of neutrosophic submodules. Some clinical applications of neutrosophic submodules were studied by him.

Chapter 1 Study on marketing dynamics on sales of electric vehicles and swot analysis.- Chapter 2 Stability Analysis and Backward Bifurcation of Malaria Model.- Chapter 3 Mathematical model for diabetes using fuzzy parameters.- Chapter 4 Fuzzy iterated function systems.- Chapter 5 Introduction to Interval-valued Neutrosophic Hyper-soft Expert Set.- Chapter 6 Fuzzy Fractal Dimension of Covid-19 Variant Protein.- Chapter 7 A study of Intuitionistic Fuzzy Graph using Morphological operators and its application.- Chapter 8 Edge weight-based colouring and matching in inhomogeneous random graphs.- Chapter 9 Super Domination Number of Cycle based Graphs and Comb Product of Graphs.- Chapter 10 Sum Divisor Cordial Labelling for Middle Graph and Total Graph of Some Graphs.- Chapter 11 On the Core and Noncore vertices of Singular Graphs.- Chapter 12 On C-Perfection of Modular Product of Graphs.- Chapter 13 A study on topological indices of bipartite Kneser B type-1 graphs.- Chapter 14 On jumping graph grammars.- Chapter 15 Some eigen value properties of Uniform Hyperstar Using recurrence relation.- Chapter 16 A study On Ramanujan graphs.- Chapter 17 On the exponential Diophantine equation related To the powers of Cluster Primes.- Chapter 18 Structure of different categories of Diophantine 3-tuples ap-propriate (𝟐𝒋,𝟑)-centred polygonal numbers.- Chapter 19 A Birth-Death Process with Temporary Growth Halts and Population Independent Death Rate.- Chapter 20 Comparison of Vacation and Mt/Mt/1 Queueing Models for Traffic Flow at Signalized Intersections.- Chapter 21 Study of Birth-Death Processes with Growth Interruptions.