Re: fuzzy equations and linear systems of equations

From: Rafi Muhanna (rafi.muhanna@gtrep.gatech.edu)
Date: Thu May 03 2001 - 15:28:25 MET DST

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    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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