Re: Fuzzy arithmetic

N.G. du Bois (n.dubois@wxs.nl)
Wed, 22 Jul 1998 22:02:20 +0200 (MET DST)

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N.G. du Bois wrote:
>
> Hello, all interested in fuzzy arithmetic.
> This is a new try for a correct e-mail.
> I noticed the question about fuzzy arithmetic.
>
> I have a sample of a fuzzy addition using Zadeh's
> Extension Principle. I worked it out in a spread sheet.
> Yesterday it was a "Works" document. That didn't work when I checked it. Today I changed it into a "Word"document. I hope that it will work, this time.
> You can change the operation for other simple arithmetic operations,
> that is subtraction, multipliing and division. You have to do the change for each cell that computes, in the spreadsheet. Other operations I did not work out.
> In the first step you define the two fuzzy numbers and the
> membershipgrades of their parts.
> Second you make the Descartes Product space with the MIN operation
> on the membershipgrades (the spreadsheet will do this for you).
> Third you work out the operation cell by cell (in this case an addition) and you take the outcomes with the highest membershipgrades. (the first part of this the spreadsheet does itself too).
> Then, the selection of the same figures of the new fuzzy number with the highest membershipgrades has to be done: this you have to do "by hand".
>
> This is a manner to approximate in a very simple but illustrative way
> the computation of fuzzy numbers,
>
> Best regards,
>
> Nico du Bois.
>
> ---------------------------------------------------------------
>
>

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