Talk:Fuzzy logic

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Fuzzy logic is a former featured article candidate. Please view the links under Article milestones below to see why the nomination was archived. For older candidates, please check the archive.

Article milestones
Date	Process	Result
July 18, 2006	Featured article candidate	Not promoted

Archives

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Ignorance, huh?

(last word of 2nd or 3rd segment) Well I like the way that sounds but no sources are cited so until then this sounds like this might be a case of subjective bias. Prove me wrong! I want to read the article. — Preceding unsigned comment added by Ddd1600 (talk • contribs) 00:55, 4 December 2011 (UTC)[reply]

This is a controversial discipline - so why is word "criticism" not found in the article?

fuzzy logic has the dubious distinction of having a whole lot of mathematicians and programmers saying that it is the wrong way to do things, as opposed to other AI techniques. This is easily confirmed using (fuzzy logic criticism) google search. So how come this article contains no criticism whatsoever? 76.119.30.87 (talk) 15:13, 15 May 2012 (UTC)[reply]

Not that good

The first sentence states "The reasoning in fuzzy logic is similar to human reasoning". I think this is to be a bit too optimistic. — Preceding unsigned comment added by 37.2.234.168 (talk) 21:47, 8 July 2012 (UTC)[reply]

Fuzzy is not probabilities, is not for uncertainty

The article makes several erroneous claims. It first says that fuzzy logic is a form of probabilistic logic. It is not! For one thing, fuzzy logic is truth functional, while probabilities are not. It is also claimed that fuzzy is a way to deal with uncertainty. It is not! Fuzziness is used to describe _imprecise_ notions (like hot, or tall), not uncertain notions. — Preceding unsigned comment added by 141.76.75.36 (talk) 11:21, 3 August 2012 (UTC)[reply]

'unsigned' makes an important point. Fuzzy logic would be useless for any real world application if it dealt with probabilities. In a control system, you have exact numeric input values (called "crisp" by Zadeh), and you produce exact numeric (crisp) output values. There is NO uncertainty.

The real value of fuzzy logic, not mentioned in the article, is this: Fuzzy logic control systems DO NOT require a mathematical model of the system. They easily control complex systems where mathematical modeling is impractical, and, if properly constructed, do it extremely well.

Engineers worldwide are quietly using fuzzy logic in control applications, because they know it works. Leave it to the mathematicians to argue and criticise.

Fuzzy Logic is inconsistent

According to the article, any truth values between 0 and 1 can be assigned to sets. But this is wrong: The axioms only admit the truth values truth(0) and truth(1). Proof: Let 0 denote the empty set, 1 the universe. Then for any x Max( truth(x), truth(not x) ) = truth(1) Min( truth(x), thruth(not x) ) = truth(0)

Therefore truth(x) equals either truth(0) or truth(1), for any x.

q.e.d.

Therefore, applications of fuzzy logic assigning more than two different values are inconsistent. I think, fuzzy logic should be deprecated. Hans-Rudolf Thomann (mathematician)HRThomann (talk) 07:37, 21 August 2012 (UTC)[reply]