Fuzzy mathematical programming: methods and applications.

In the last 25 years, the fuzzy set theory has been applied
in many disciplines such as operations research, management
science, control theory,artificial intelligence/expert
system, etc. In this volume, methods and applications of
fuzzy mathematical programming and possibilistic
mathematical programming
are first systematically and thoroughly reviewed and
classified. This state-of-the-art survey provides readers
with a capsule look into the existing methods, and their
characteristics and applicability to analysis of fuzzy and
possibilistic programming problems. To realize practical
fuzzy modelling, we present solutions for real-world
problems including production/manufacturing, transportation,
assignment, game, environmental management, resource
allocation,
project investment, banking/finance, and agricultural
economics. To improve flexibility and robustness of fuzzy
mathematical programming techniques, we also present our
expert decision-making support system IFLP which considers
and solves all possibilities of a specific domain of (fuzzy)
linear programming problems. Basic fuzzy set theories,
membership functions, fuzzy decisions, operators and fuzzy
arithmetic are introduced with simple numerical examples in
aneasy-to-read and easy-to-follow manner. An updated
bibliographical listing of 60 books, monographs or
conference proceedings, and about 300 selected papers,
reports or theses is presented in the end of this study.