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Re: 1 NF

From: Sampo Syreeni <decoy_at_iki.fi>
Date: Fri, 2 Mar 2007 01:56:19 +0200
Message-ID: <Pine.SOL.4.62.0703020152510.3230@kruuna.helsinki.fi>


On 2007-03-01, V.J. Kumar wrote:

>> By "real" I meant "real valued". Because of that, there's nothing in
>> fuzzy set theory you couldn't handle with rather boring and classical
>> measure theoretic tools.
>
> Are you saying that the membership function is just another name for
> the classical measure?

No, because most classical measures are additive. Yet, measure theory contains all of the tools which enable fuzzy measures to be handled. Cf. e.g. the full body of theory on outer measures in various topological spaces.

> How would you define a degree of truth in classical logic without
> resorting to any additonal tools which would be cheating?

The way it's done in fuzzy logic, of course. As I said, that's based on a classical foundation.

> How would you define the membership function as measure?

http://en.wikipedia.org/wiki/Fuzzy_measure_theory

-- 
Sampo Syreeni, aka decoy - mailto:decoy_at_iki.fi, tel:+358-50-5756111
student/math+cs/helsinki university, http://www.iki.fi/~decoy/front
openpgp: 050985C2/025E D175 ABE5 027C 9494 EEB0 E090 8BA9 0509 85C2
Received on Thu Mar 01 2007 - 17:56:19 CST

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