Silvia wrote:
"Do you have any reference about fuzzy equations and fuzzy linear system of
equations of the type Ax=b?
If A is a fuzzy matrix and b is a crisp vector, then are there solutions?
Thank you for your help"
This question is well discussed in any Interval Arithmetic book ( a fuzzy
number could be considered as nested intervals), For example:
1. Methods and Applications of Interval Analysis, Ramon E. Moore,
SIAM,1979.
2. Interval methods for systems of equations, Arnold Neumaier, Cambridge
University Press 1990.
However, special attention should be paid to the dependency problem?!, some
additional developments have been done in this area.
Beast regards,
Rafi Muhanna
----------------------------------------------------------------------------
-----
Rafi L. Muhanna
Department of Civil Engineering
Regional Engineering Program
Georgia Institute of Technology
6001 Chatham Center Dr., Suite 350
Savannah, GA 31405
USA
Email: rafi.muhanna@gtrep.gatech.edu
Phone: (912) 651-7547
Fax: (912) 651-7279
----- Original Message -----
From: "Silvia Muzzioli" <s.muzzioli@unimo.it>
To: "Multiple recipients of list" <fuzzy-mail@dbai.tuwien.ac.at>
Sent: Tuesday, April 03, 2001 6:59 PM
Subject: fuzzy equations and linear systems of equations
> Dear all,
> do you have any reference about fuzzy equations and fuzzy linear system of
> equations of the type Ax=b?
> If A is a fuzzy matrix and b is a crisp vector, then are there solutions?
> Thank you for your help
> Silvia
>
>
>
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