title: |
Model Inversion using Extended Gradual Intervals Arithmetic |
|
publication: |
||
part of series: |
Advances in Intelligent Systems Research | |
| pages: | 757 - 762 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Reda Boukezzoula, Laurent Foulloy, Sylvie Galichet |
|
publication date: |
July 2011 |
|
keywords: |
Fuzzy and Gradual Interval Arithmetic, Extended Gradual Intervals, Exact Inverse operators, Midpoint-Radius Representation, Gradual Interval Model
Inversion. |
|
abstract: |
Recently, gradual numbers have been introduced as a
means of extending standard interval computation
methods to fuzzy and gradual intervals. However, it is
well known that the practical use of standard interval
arithmetic operators, just as their fuzzy extension, gives
results more imprecise than necessary. In this paper, we
combine the concepts of gradual numbers and Kaucher
arithmetic on extended intervals to define extended
gradual interval arithmetic where subtraction and division operators are respectively the inverse operators of
the addition and the multiplication. They are applied to
a control problem based on the inversion of a linear
model. |
|
copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |