Fuzzy Measure Theory

Providing the first comprehensive treatment of the subject, this groundbreaking work is solidly founded on a decade of concentrated research, some of which is published here for the first time, as well as practical, ''hands on'' classroom experience. The clarity of presentation and abundance of examples and exercises make it suitable as a graduate level text in mathematics, decision making, artificial intelligence, and engineering courses.

Inhalt

1. Introduction.- 2. Required Background in Set Theory.- 3. Fuzzy Measures.- 4. Extensions.- 5. Structural Characteristics for Set Functions.- 6. Measurable Functions on Fuzzy Measure Spaces.- 7. Fuzzy Integrals.- 8. Pan-Integrals.- 9. Applications.- References.- Appendix A. Some Concepts and Results Regarding Classical Measures.- Appendix B. Some Concepts and Results Regarding Fuzzy Sets.- Appendix C. Glossary of Key Concepts.- Appendix D. Glossary of Symbols.- Appendix E. New Directions in Fuzzy Measure Theory.- Appendix F. Representative Applications of Fuzzy Measure Theory.- Author Index.