Young-Jou Lai, Ching-Lai Hwang

Fuzzy Mathematical Programming

Methods and Applications

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Economics and Mathematical Systems 394
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56098-2
• 1992.
• Seitenzahl: 324
• Erscheinungstermin: 14. Dezember 1992
• Englisch
• Abmessung: 244mm x 170mm x 18mm
• Gewicht: 535g
• ISBN-13: 9783540560982
• ISBN-10: 354056098X
• Artikelnr.: 26609831

Inhaltsangabe

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.