Re: Linear Systems of Equations with Fuzzy Numbers

From: Vladik Kreinovich (vladik@cs.utep.edu)
Date: Sat Sep 22 2001 - 19:00:47 MET DST

  • Next message: tristan punzalan: "no title"

    For every alpha, we get an interval system if we use alpha-cuts for all the
    coefficients of the matrix and the vector, and for the interval linear systems,
    there is a very good book:

           Interval Methods for Systems of Equations, by Arnold Neumaier, Cambridge
    University Press, Cambridge, 1990, ISBN 0-521-33196-X.
           
    Vladik
           
    > Date: Sat, 22 Sep 2001 06:05:13 +0200 (MET DST)
    > Originator: fuzzy-mail@dbai.tuwien.ac.at
    > From: "Sebastiao Pereira" <sebastiaoc@cenpes.petrobras.com.br>
    > To: nafips-l@sphinx.gsu.edu
    > Subject: Linear Systems of Equations with Fuzzy Numbers
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    > Dear colleagues,
    >
    > I would like to know if it is possible to solve a linear systems of equations
    > (Ax = b) where the matrix and vectors coefficients are fuzzy numbers, for
    > instance, Triangle Fuzzy Numbers or Trapezoidal Fuzzy Numbers. ?
    > Do anybody can help me with references, bibliografy, routines or any other
    > thing ?
    >
    > Thank you very much
    >
    > Best reagards.
    >
    > Sebastiao Pereira
    > phone : 55 21 38656436
    >
    >
    > --
    > Posted from [200.179.65.60]
    > via Mailgate.ORG Server - http://www.Mailgate.ORG
    >
    >
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    (5) WWW archive: http://www.dbai.tuwien.ac.at/marchives/fuzzy-mail/index.html



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