Ferreira-2004f
From IEETA
Article
| Title | Fuzzy information on discrete and continuous domains: approximation results |
|---|---|
| Author | Paulo J S G Ferreira, Manuel J. C. S. Reis |
| Journal | International Journal of General Systems |
| Volume | 33 |
| Number | 5 |
| Pages | 583-591 |
| Month | October |
| Year | 2004 |
| DOI | [1] |
| Group | |
| Group (before 2015) | Signal Processing Laboratory |
| Indexed by ISI | Yes |
Abstract
Measures of information based on fuzzy sets have been defined for finite and for continuous universes. In the continuous case, the measure of information I(f) depends on the concept of sorting or nonincreasing rearrangement of f.
The paper studies the extent to which this measure of information can be approximated as a limit of discrete distributions with N distinct values, as N tends to infinity. It gives conditions under which there is convergence, and the order of approximation in terms of N and the Lipschitz exponent of the possibility function f.