Chapter 2. Classical Possibility-Based Uncertainty Theory
Published Online: 7 NOV 2005
DOI: 10.1002/0471755575.ch2
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) Classical Possibility-Based Uncertainty Theory, in Uncertainty and Information: Foundations of Generalized Information Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471755575.ch2
Publication History
- Published Online: 7 NOV 2005
- Published Print: 4 NOV 2005
ISBN Information
Print ISBN: 9780471748670
Online ISBN: 9780471755579
- Summary
- Chapter
Keywords:
- possibility functions;
- necessity functions;
- Hartley measure of uncertainty for finite sets;
- Hartley measure of uncertainty for infinite sets;
- classical (crisp) possibility theory
Summary
Classical (crisp) possibility theory, which is based on possibility and necessity functions, is surveyed. Hartley functional for measuring uncertainty in this theory for finite sets is introduced and its uniqueness is proven. A counterpart of this functional for infinite sets is introduced and it is shown that it possesses all required properties.