One of the remarkable mathematical inventions of the 20th century
is that of Fuzzy sets by Lotfi.A.Zadeh in 1965. His aim was to
develop a mathematical theory to deal with uncertainty and
imprecision. Fuzzy logic and the theory of fuzzy sets have been
applied widely in areas like information theory, pattern
recognition, clustering, expert systems, database theory, control
theory, robotics, networks and nanotechnology. A.Rosenfeld
introduced fuzzy graphs in 1975 to deal with relations involving
uncertainty. In this book we present basic concepts in fuzzy graph
connectivity, which plays a remarkable role in information networks
and quality based clustering. This book consists of seven chapters.
The first chapter includes motivation and basic results. Arc
analysis of fuzzy graph structures, cycles in fuzzy graphs, blocks
in fuzzy graphs, cycle connectivity of fuzzy graphs are discussed
in the subsequent chapters. We believe that this book will help
students, researchers and faculty of different institutes around
the world to do fruitful research in fuzzy graph theory and related
areas.
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