# Help In Fuzzy Sum

Francesco Nucci (nucci@axpmat.unile.it)
Mon, 19 Jan 1998 00:22:06 +0100 (MET)

Questo è un messaggio multi-parte scritto in formato MIME.

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Dear Sirs
I'm a student in University of Lecce and I'm working on my thesis about
Discrete Fuzzy Simulation .
I've a problem about sum of Fuzzy numbers in order to the sum of two
fuzzy numbers.
For example:
F1=[(4,0);(4,0.5);(5,1);(6,0)]
F2=[(1,0);(3,1); (4,0)]
(they are pictured below in FIG1 and FIG2)
If I use "FuzyCalc 1.1" (it is an 'Excel' for fuzzy numbers) in order to
calculate this sum
I get the number pictured in FIG3
But If I define the number F2 like F2=[(1,0);(2,0.5);(3,1); (4,0)] (the
membership
function is the same) I get the number pictured in FIG4.

I've two question for you:
1 Which is the algorithm to perform this type of sum?

2 Are the two answers of "FuzyCalc 1.1" correct?

Francesco Nucci

```--
Dipartimento di Scienza dei Materiali
Universita di Lecce
73100 Lecce, Italy
tel: +39.832.320251
fax: +39.832.320525
e-mail: nucci@axpmat.unile.it

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```