Fuzzy Set Theory-and Its Applications

4th Auflage 2001
ISBN: 978-0-7923-7435-0
Verlag: Springer Netherlands

Buch, Englisch, 514 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 2080 g

Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have been made in many directions.
The primary goal of is to provide a textbook for courses in fuzzy set theory, and a book that can be used as an introduction. To balance the character of a textbook with the dynamic nature of this research, many useful references have been added to develop a deeper understanding for the interested reader.
updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Chapters have been updated and extended exercises are included.

Zielgruppe

Research

Autoren/Hrsg.

Zimmermann, Hans-Jürgen

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie

Inhaltsverzeichnis

1 Introduction to Fuzzy Sets.- 1.1 Crispness, Vagueness, Fuzziness, Uncertainty.- 1.2 Fuzzy Set Theory.- I: Fuzzy Mathematics.- 2 Fuzzy Sets-Basic Definitions.- 3 Extensions.- 4 Fuzzy Measures and Measures of Fuzziness.- 5 The Extension Principle and Applications.- 6 Fuzzy Relations and Fuzzy Graphs.- 7 Fuzzy Analysis.- 8 Uncertainty Modeling.- II: Applications of Fuzzy Set Theory.- 9 Fuzzy Logic and Approximate Reasoning.- 10 Fuzzy Sets and Expert Systems.- 11 Fuzzy Control.- 12 Fuzzy Data Bases and Queries.- 13 Fuzzy Data Analysis.- 14 Decision Making in Fuzzy Environments.- 15 Applications of Fuzzy Sets in Engineering and Management.- 16 Empirical Research in Fuzzy Set Theory.- 17 Future Perspectives.- Abbreviations of Frequently Cited Journals.