Chapter 8. Fuzzification of Uncertainty Theories
Published Online: 7 NOV 2005
DOI: 10.1002/0471755575.ch8
Copyright © 2006 John Wiley & Sons, Inc.
Book Title
Uncertainty and Information: Foundations of Generalized Information Theory
Additional Information
How to Cite
Klir, G. J. (2005) Fuzzification of Uncertainty Theories, in Uncertainty and Information: Foundations of Generalized Information Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471755575.ch8
Publication History
- Published Online: 7 NOV 2005
- Published Print: 4 NOV 2005
ISBN Information
Print ISBN: 9780471748670
Online ISBN: 9780471755579
- Summary
- Chapter
Keywords:
- fuzzification methods;
- cutworthy properties;
- measures of fuzziness;
- fuzzy-set interpretation of possibility theory;
- probabilities of fuzzy events;
- fuzzified uncertainty theories
Summary
After introducing the meaning of fuzzifications, the fuzzification method based on the α-cut representation is examined in detail. It is shown how this method is applied in fuzzy-set interpretation of possibility theory and in fuzzifying the uncertainty theory based on reachable interval-valued probability distributions. It is also shown how classical probabilities can be calculated for fuzzy events.