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Describes the contribution of soft computing techniques towards a
new paradigm shift Explores Soft Computing techniques in a
systematic manner starting from their initial stage to recent
developments in this area Presents a systematic application of
fuzzy logic in mathematical sciences and decision-making. Examines
the application of soft computing in health sciences and in the
modeling of epidemics including the effects of vaccination
Discusses the application of soft computing techniques in the
modeling of infectious diseases
Advanced Mathematical Analysis and its Applications presents
state-of-the-art developments in mathematical analysis through new
and original contributions and surveys, with a particular emphasis
on applications in engineering and mathematical sciences. New
research directions are indicated in each of the chapters, and
while this book is meant primarily for graduate students, there is
content that will be equally useful and stimulating for faculty and
researchers. The readers of this book will require minimum
knowledge of real, complex, and functional analysis, and topology.
Features Suitable as a reference for graduate students,
researchers, and faculty Contains the most up-to-date developments
at the time of writing.
Soft computing techniques are no longer limited to the arena of
computer science. The discipline has an exponentially growing
demand in other branches of science and engineering and even into
health and social science. This book contains theory and
applications of soft computing in engineering, health, and social
and applied sciences. Different soft computing techniques such as
artificial neural networks, fuzzy systems, evolutionary algorithms
and hybrid systems are discussed. It also contains important
chapters in machine learning and clustering. This book presents a
survey of the existing knowledge and also the current state of art
development through original new contributions from the
researchers. This book may be used as a one-stop reference book for
a broad range of readers worldwide interested in soft computing. In
each chapter, the preliminaries have been presented first and then
the advanced discussion takes place. Learners and researchers from
a wide variety of backgrounds will find several useful tools and
techniques to develop their soft computing skills. This book is
meant for graduate students, faculty and researchers willing to
expand their knowledge in any branch of soft computing. The readers
of this book will require minimum prerequisites of undergraduate
studies in computation and mathematics.
Soft computing techniques are no longer limited to the arena of
computer science. The discipline has an exponentially growing
demand in other branches of science and engineering and even into
health and social science. This book contains theory and
applications of soft computing in engineering, health, and social
and applied sciences. Different soft computing techniques such as
artificial neural networks, fuzzy systems, evolutionary algorithms
and hybrid systems are discussed. It also contains important
chapters in machine learning and clustering. This book presents a
survey of the existing knowledge and also the current state of art
development through original new contributions from the
researchers. This book may be used as a one-stop reference book for
a broad range of readers worldwide interested in soft computing. In
each chapter, the preliminaries have been presented first and then
the advanced discussion takes place. Learners and researchers from
a wide variety of backgrounds will find several useful tools and
techniques to develop their soft computing skills. This book is
meant for graduate students, faculty and researchers willing to
expand their knowledge in any branch of soft computing. The readers
of this book will require minimum prerequisites of undergraduate
studies in computation and mathematics.
This book collects chapters on contemporary topics on metric fixed
point theory and its applications in science, engineering,
fractals, and behavioral sciences. Chapters contributed by renowned
researchers from across the world, this book includes several
useful tools and techniques for the development of skills and
expertise in the area. The book presents the study of common fixed
points in a generalized metric space and fixed point results with
applications in various modular metric spaces. New insight into
parametric metric spaces as well as study of variational
inequalities and variational control problems have been included.
This book collects chapters on contemporary topics on metric fixed
point theory and its applications in science, engineering,
fractals, and behavioral sciences. Chapters contributed by renowned
researchers from across the world, this book includes several
useful tools and techniques for the development of skills and
expertise in the area. The book presents the study of common fixed
points in a generalized metric space and fixed point results with
applications in various modular metric spaces. New insight into
parametric metric spaces as well as study of variational
inequalities and variational control problems have been included.
This book deals with a concise study of convergence in
intuitionistic fuzzy n-normed linear spaces. This book mainly
contains the author's own research work in the area of lacunary
ideal convergence. Fuzzy normed spaces have been an increasingly
popular area of mathematical research in recent times, both in
terms of theory and applications. But the availability of books in
the area of fuzzy normed spaces is very rare. This book provides a
good discussion on the development of both fuzzy and intuitionistic
fuzzy set theory. The transition from fuzzy normed linear spaces to
intuitionistic fuzzy n-normed linear spaces has been presented
systematically. Anybody interested in the theory or application of
fuzzy or intuitionistic fuzzy normed spaces will find this book
more than useful. The book is written in such a way that
mathematical prerequisites are minimum. Since the main subject of
study in this book is a generalisaton of the concept of usual
convergence, so all the related results in convergence have been
incorporated in the book. This book may be used as a ready
reference for an up to date account of results in the theory of
fuzzy/intuitionistic fuzzy normed linear spaces.
This book collects chapters on fixed-point theory and fractional
calculus and their applications in science and engineering. It
discusses state-of-the-art developments in these two areas through
original new contributions from scientists across the world. It
contains several useful tools and techniques to develop their
skills and expertise in fixed-point theory and fractional calculus.
New research directions are also indicated in chapters. This book
is meant for graduate students and researchers willing to expand
their knowledge in these areas. The minimum prerequisite for
readers is the graduate-level knowledge of analysis, topology and
functional analysis.
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