In the last 25 years, the fuzzy set theory has been appliedin many disciplines such as operations research, managementscience, control theory,artificial intelligence/expertsystem, etc. In this volume, methods and applications offuzzy mathematical programming and possibilisticmathematical programmingare first systematically and thoroughly reviewed andclassified. This state-of-the-art survey provides readerswith a capsule look into the existing methods, and theircharacteristics and applicability to analysis of fuzzy andpossibilistic programming problems. To realize practicalfuzzy modelling, we present solutions for real-worldproblems including production/manufacturing, transportation,assignment, game, environmental management, resourceallocation,project investment, banking/finance, and agriculturaleconomics. To improve flexibility and robustness of fuzzymathematical programming techniques, we also present ourexpert decision-making support system IFLP which considersand solves all possibilities of a specific domain of (fuzzy)linear programming problems. Basic fuzzy set theories,membership functions, fuzzy decisions, operators and fuzzyarithmetic are introduced with simple numerical examples inaneasy-to-read and easy-to-follow manner. An updatedbibliographical listing of 60 books, monographs orconference proceedings, and about 300 selected papers,reports or theses is presented in the end of this study.