Re: intuitionistic fuzzy sets

From: Vladik Kreinovich (vladik@cs.utep.edu)
Date: Thu Jan 18 2001 - 18:52:57 MET

  • Next message: Marco Mililotti: "Re: BOOK ANNOUNCEMENT"

    Dear Chris,

    This is a very good question, and I do not knwo if anyone has done that, I am
    sending this message to the interval and fuzzy mailing lists hopefully you will
    get some references. If no one has done that - it is a great idea to pursue!

    Thanks

    Vladik

    > Date: Tue, 16 Jan 2001 12:08:56 +0100 (MET)
    > From: Chris Cornelis <Chris.Cornelis@rug.ac.be>
    > To: vladik@cs.utep.edu
    > Subject: intuitionistic fuzzy sets
    > MIME-Version: 1.0
    >
    > Dear Vladik,
    >
    > I am writing you about an e-mail that you sent to the fuzzy mailing
    > list on 7 May 1999 and that I found on the archive page. Your mail was a
    > clarifying note on intuitionistic fuzzy sets. In it, you write that when
    > we do not know anything about whether x has property B or not, we should
    > put mB(x)=0 and m(not B)x=0 (with B an intuitionistic fuzzy set).
    > On the other hand, in possibility theory, B(x) = 1 means: x is B is
    > completely possible. As evidence against "x is B" is obtained, B(x) will
    > decrease, but if we know nothing about the statement we assume by default
    > B(x) = 1. My question is: does there exist something like intuitionistic
    > possibility theory, and how could we represent 'unknown' in this
    > formalism?
    >
    > Thanks for your help!
    >
    > Chris
    >
    >
    > =========================================================
    > Chris Cornelis e-mail : Chris.Cornelis@rug.ac.be
    > Fund for Scientific Research-Flanders
    > Fuzziness and Uncertainty Modelling Research Unit
    > Department of Applied Mathematics and Computer Science
    > Ghent University
    > Krijgslaan 281 (S9) tel. : +32 (0)9/264.47.72
    > B-9000 Ghent (Belgium) fax. : +32 (0)9/264.49.95

    ############################################################################
    This message was posted through the fuzzy mailing list.
    (1) To subscribe to this mailing list, send a message body of
    "SUB FUZZY-MAIL myFirstName mySurname" to listproc@dbai.tuwien.ac.at
    (2) To unsubscribe from this mailing list, send a message body of
    "UNSUB FUZZY-MAIL" or "UNSUB FUZZY-MAIL yoursubscription@email.address.com"
    to listproc@dbai.tuwien.ac.at
    (3) To reach the human who maintains the list, send mail to
    fuzzy-owner@dbai.tuwien.ac.at
    (4) WWW access and other information on Fuzzy Sets and Logic see
    http://www.dbai.tuwien.ac.at/ftp/mlowner/fuzzy-mail.info
    (5) WWW archive: http://www.dbai.tuwien.ac.at/marchives/fuzzy-mail/index.html



    This archive was generated by hypermail 2b30 : Thu Jan 18 2001 - 19:07:06 MET