Re: number of membership functions...

Robin B. Lake (rbl@hal.EPBI.CWRU.Edu)
Sun, 21 Jun 1998 15:44:49 +0200 (MET DST)

Regarding the citation to Miller: He states that the human mind can
deal with somewhere between 5 and 9 complex concepts AT THE SAME TIME.
This should not imply that fuzzy variables be constrained to this number
of linguistic partitions, for some of the linguistic partitions may not
be encountered in proximal time epochs.

Rob Lake
rbl@po.cwru.edu

> From fuzzy-mail@dbai.tuwien.ac.at Sun Jun 14 13:46 EDT 1998
> Originator: fuzzy-mail@dbai.tuwien.ac.at
> To: Multiple recipients of list <fuzzy-mail@dbai.tuwien.ac.at>
> Subject: Re: number of membership functions...
> X-Listprocessor-Version: 6.0c -- ListProcessor by Anastasios Kotsikonas
> X-Comment: Fuzzy Distribution List
>
> In article <3.0.5.32.19980511151855.007b1670@engr.LaTech.edu>, Hasan R.
> Haznedaroglu <hasanh@coes.LaTech.edu> writes
> >I remember reading a passage about the number of
> >membership functions (MFs) that should be used
> >(or recommended) during fuzzy reasoning, in Constantin
> >von Altrock's book. The recommended number was about
> >(if I'm not wrong) 7 for each variable. The reason
> >for using such a low number was that humans can use
> >only few linguistic terms simultaneously during their
> >reasoning or decision making processes.
>
> This point is specificaly discussed by L.Godo, R.Lopez de Mantaras, C.
> Sierra and A Verdaguer 1989. MILORD: The Architectiure and management of
> Lingiustically expressed Uncertainty. Intenational Journal of
> Intelligent Systems Vol. 4, pp 471- 501.
>
> They refer to the results of Miller, G.A. 1956. The Magical Number Seven
> Plus or Minus Two: Some Limits on Our Capacity for processing
> Information. Pscychological Review, Vol 63, pp 81 -97.
>
> and conclude that it is unlikely that a person would use more than nine
> different linguistic terms to describe the values taken by a variable.
> --
> Jon Williams
> e-mail home jon@williams-home.demon.co.uk
> college J.Williams@coventry.ac.uk
>
>
>
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