Fuzzy Mathematical Programming

Methods and Applications

Young-Jou Lai, Ching-Lai Hwang (Autoren)

Buch | Softcover

XIII, 306 Seiten

1992
Springer Berlin (Verlag)
978-3-540-56098-2 (ISBN)

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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.

1 Introduction.- 1.1 Objectives of This Study.- 1.2 Fuzzy Mathematical Programming Problems.- 1.3 Classification of Fuzzy Mathematical Programming.- 1.4 Applications of Fuzzy Mathematical Programming.- 1.5 Literature Survey.- 2 Fuzzy Set Theory.- 2.1 Fuzzy Sets.- 2.2 Fuzzy Set Theory.- 2.3 Membership Functions.- 2.4 Fuzzy Decision and Operators.- 2.5 Fuzzy Arithmetic.- 2.6 Fuzzy Ranking.- 3 Fuzzy Mathematical Programming.- 3.1 Fuzzy Linear Programming Models.- 3.2 Interactive Fuzzy Linear Programming.- 3.3 Some Extensions of Fuzzy Linear Programming Problems.- 4 Possibilistic Programming.- 4.1 Possibilistic Linear Programming Models.- 4.2 Some Extensions of Possibilistic Linear Programming.- 5 Concluding Remarks.- 5.1 Probability Theory versus Fuzzy Set Theory.- 5.2 Stochastic versus Possibilistic Programming.- 5.3 Future Research.- 5.4 Introduction of the Following Volume.- 5.5 Fuzzy Multiple Attribute Decision Making.- Books, Monographs and Conference Proceedings.- Journal Articles, Technical Reports and Theses.

Erscheint lt. Verlag	14.12.1992
Reihe/Serie	Lecture Notes in Economics and Mathematical Systems
Zusatzinfo	XIII, 306 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	535 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management
Schlagworte	Addition • arithmetic • Decision Theory • Division • Entscheidungstheorie • Fuzzy Sets • Mathematical Programming • mathematische Programmierung • multiplication • set theory • subtraction
ISBN-10	3-540-56098-X / 354056098X
ISBN-13	978-3-540-56098-2 / 9783540560982
Zustand	Neuware