Fuzzy " zero" numbers

N.G. du Bois (n.dubois@wxs.nl)
Wed, 8 Jul 1998 07:26:57 +0200 (MET DST)

Hello to all interested,

While I was doing some experimenting on the fuzzy calculator I
downloaded from the Internet (Uni Hannover Germany), I suddenly got a
"nil" as an answer. It happend when I was dividing a fuzzy number by
another fuzzy number. I checked it in a spreadsheet on my computer using
Zadeh's extension principle. I found out that the number I was deviding
by contained a zero. In this case it was a fuzzy 2 ranging from 0 to 4,
in the notation of the fzcalc: 2,2,2,2.
I checked it for several other fuzzy numbers containing a zero, but the
answer was still "nil". Even for great fuzzy numbers, for example -500
to + 2000. This I can understand.
But what is most surprising to me is that a fuzzy number with a
membership of 0 for zero (like the fuzzy two I described above) can
behave like zero!

Perhaps someone can explain this paradox?

Greetings,

Nico du Bois.

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