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.