Fuzzy Set And Its Extension The Intuitionistic Fuzzy Set Tamalika Chaira by Tamalika Chaira 9781119544197, 111954419X instant download after payment.

Since Lofti A. Zadeh introduced fuzzy set theory about 50 years ago, i.e. in 1965,
theory of fuzzy sets has evolved in many directions and has received more
attention from many researchers. Applications of the theory can be found
ranging from pattern recognition, control system, image processing, decision
making, operations research, robotics, and management.
This book discusses on connections between fuzzy set and crisp set, fuzzy
relations, operations on fuzzy sets, various aggregation operators using fuzzy
sets, fuzzy numbers, arithmetic operations on fuzzy numbers, fuzzy integrals,
fuzzy matrices and determinants, and fuzzy groups. Applications on decision
making and image processing is also given.
Apart from fuzzy set, intuitionistic fuzzy set is also discussed in this book.
Since its inception by K. Atanassov in 1985, intuitionistic fuzzy set theory
has also received attention but to limited number of researchers as compared
to fuzzy set. Though its use in application is not as comparable as that of
fuzzy set, but still research studies are carried out in the areas that use fuzzy
set. In intuitionistic fuzzy set, computational complexity is more as two types
of uncertainties are used. But, for obtaining better result, where uncertainty
present is more, especially in diagnosis of medical images, accurate result
is very much important compromising the computational complexity. So,
researchers try to use it on real-time application.
The book discusses the basics of intuitionistic fuzzy set, intuitionistic
fuzzy relations, operations on intuitionistic fuzzy sets, various intuitionistic
fuzzy aggregation operators, intuitionistic fuzzy numbers, arithmetic operations
on intuitionistic fuzzy numbers, intuitionistic fuzzy integrals, and intuitionistic
fuzzy matrices. Also, application in decision making and image processing
using intuitionistic fuzzy set is also given.
This book is an attempt to unify both fuzzy/intuitionistic fuzzy set and their
existing work in application. The primary goal of this book is to help the readers
to know the mathematics of both fuzzy set and intuitionistic fuzzy set so that
with both these concepts, they can use either fuzzy/intuitionistic fuzzy set in
their applications.
Finally, I would like to acknowledge the authors of the papers that have
been referred in the book. I acknowledge my beloved daughter, Shruti De,
for giving the title of the book. I acknowledge my parents for their continuous
support while writing this book. I am also indebted to John Wiley & Sons, Inc.
for making the publication of this book possible.