Since the fuzzy variable(s) will feed into a fuzzy rulebase (FRB), that
is where the cost of cardinality will be most evident. Suppose the FRB is
2dimensional, ie., 2input 1output (TISO), and both card{Fuzzy Var} = N
for simplicity: Card{FRB rules} <= N^2. This forces the designer to
optimise on the cardinality  something that the human mind does implicitly.
To obtain an approximation of the overall floatops (OFLOPS), the
singlerule SFLOPS = fn(Inference model, Implication model, Conjunction
model, ...) and is easy to calculate. Then, Max(OFLOPS) >= N^2 * SFLOPS.
Pramit
On Tue, 15 Jun 1999, Boris Shukhat wrote:
> Hi!
> It is well known that a human being usually uses 79 grades or
> linguistic terms to describe an intensity of some feature. As far as I
> know it is an empirical fact received in some psychological studies. It
> reflects some compromise between a loss of information as a result of
> granulation and a cost of manipulating those terms.
> Does anybody know if there is any estimate on how the cost of
> manipulating those linguistic terms depends on their number?
> Thanks,
> Boris Shukhat.
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Pramit "Jake" Sarma
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email: jake_n_jazz@yahoo.com email: psarma@che.iitb.ernet.in
Process Systems and Control
The PROCISS Group

{Mathematics/Physics}<Applied NonLinear Control>{Industrial World}

Process Control, Identification & Simulation Systems
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