The primary purpose of this book is to present information about
selected topics on the interactions and applications of fuzzy + neural.
Most of the discussion centers around our own research in these areas.
Fuzzy + neural can mean many things: (1) approximations between fuzzy
systems and neu- ral nets (Chapter 4); (2) building hybrid neural nets
to equal fuzzy systems (Chapter 5); (3) using neura.l nets to solve
fuzzy problems (Chapter 6); (4) approximations between fuzzy neural nets
and other fuzzy systems (Chap- ter 8); (5) constructing hybrid fuzzy
neural nets for certain fuzzy systems (Chapters 9, 10); or (6) computing
with words (Chapter 11). This book is not intend to be used primarily as
a text book for a course in fuzzy + neural because we have not included
problems at the end of each chapter, we have omitted most proofs (given
in the references), and we have given very few references. We wanted to
keep the mathematical prerequisites to a minimum so all longer,
involved, proofs were omitted. Elementary dif- ferential calculus is the
only prerequisite needed since we do mention partial derivatives once or
twice.