E-Book, Englisch, Band 394, 306 Seiten, eBook
Lai / Hwang Fuzzy Mathematical Programming
Erscheinungsjahr 2012
ISBN: 978-3-642-48753-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Methods and Applications
E-Book, Englisch, Band 394, 306 Seiten, eBook
Reihe: Lecture Notes in Economics and Mathematical Systems
ISBN: 978-3-642-48753-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
