Fuzzy Set Theory—and Its Applications

From the preface to the Fourth Edition by H.-J. Zimmermann 'I hope that this new edition of my textbook will help to keep respective courses in universities and elsewhere up-to-date and challenging and motivating for students as well as professors. It may also be useful for practitioners that want to update their knowledge of fuzzy technology and look for new applications in their area.'

• 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.