In the course of fuzzy technological development, fuzzy graph theory was
identified quite early on for its importance in making things work. Two
very important and useful concepts are those of granularity and of
nonlinear ap- proximations. The concept of granularity has evolved as a
cornerstone of Lotfi A.Zadeh's theory of perception, while the concept
of nonlinear approx- imation is the driving force behind the success of
the consumer electronics products manufacturing. It is fair to say fuzzy
graph theory paved the way for engineers to build many rule-based expert
systems. In the open literature, there are many papers written on the
subject of fuzzy graph theory. However, there are relatively books
available on the very same topic. Professors' Mordeson and Nair have
made a real contribution in putting together a very com- prehensive book
on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on
hypergraphs certainly is an innovative idea. For an experienced engineer
who has spent a great deal of time in the lab- oratory, it is usually a
good idea to revisit the theory. Professors Mordeson and Nair have
created such a volume which enables engineers and design- ers to benefit
from referencing in one place. In addition, this volume is a testament
to the numerous contributions Professor John N. Mordeson and his
associates have made to the mathematical studies in so many different
topics of fuzzy mathematics.
