53 votes
Accepted

What is fuzzy logic?

As complexity rises, precise statements lose meaning and meaningful statements lose precision. ( Lofti Zadeh ). Fuzzy logic deals with reasoning that is approximate rather than fixed and exact. This ...
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22 votes

What is fuzzy logic?

Fuzzy logic is based on regular boolean logic. Boolean logic means you are working with truth values of either true or false (or 1 or 0 if you prefer). Fuzzy logic is the same apart from you can have ...
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10 votes
Accepted

How can fuzzy logic be used in creating AI?

A classical example of fuzzy logic in an AI is the expert system Mycin. Fuzzy logic can be used to deal with probabilities and uncertainties. If one looks at, for example, predicate logic, then ...
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  • 1,174
9 votes

What is fuzzy logic?

It's analogous to analogue versus digital, or the many shades of gray in between black and white: when evaluating the truthiness of a result, in binary boolean it's either true or false (0 or 1), but ...
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4 votes

What is the relationship between fuzzy logic and objective bayesian probability?

This was a somewhat hotly debated question in the 1980s. The debate was more-or-less ended with papers like Cheeseman's In Defense of Probability. The short answer is that Fuzzy Logic does not just ...
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4 votes

Are there real applications of fuzzy logic?

You've obviously never heard of fuzzy logic washing machines. ● Typically, fuzzy logic controls the washing process, water intake,water temperature, wash time, rinse performance, and spin speed. ...
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3 votes

How can fuzzy logic be used in creating AI?

My impression is that fuzzy logic has mostly declined in relevance and probabilistic logic has taken over its niche. (See the comparison on Wikipedia.) The two are somewhat deeply related, and so it's ...
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3 votes
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How to calculate probability from fuzzy membership grade?

No, you can't extract any probability from a fuzzy membership grade. The uncertainty expressed by fuzzy logic is about partial truth, not about probability. $ \mu_S(x) = 0.9 $ doesn't mean that "$...
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  • 436
2 votes

How can I prove that all the a-cuts of any fuzzy set A defined on $R^n$ are convex?

We can assume without loss of generality that \begin{equation} \min\{\mu_A(r), \mu_A(s)\} = \mu_A(r) = \alpha. \end{equation} $\implies$ a-cut of fuzzy set $A$ is on $R^n$ is convex. A-cut can be ...
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  • 2,236
2 votes

How do we decide which membership function to use?

First I need to note that there is no prescribed/best way to choose the shape of membership function in fuzzy systems, that's the fuzziness in it. One could argue that the best way is to ask an expert ...
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  • 61
2 votes

Are there real applications of fuzzy logic?

The site FuzzyTECH lists an array of applications: Industrial Automation Monitoring Glaucoma Coal Power Plant Complex Chilling Systems Refuse Incineration Plant Fuzzy Logic Design ...
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  • 6,067
2 votes
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Are there real applications of fuzzy logic?

Fuzzy logic seems to have multiple of applications historically in Automotive Engineering. I found an interesting article on the subject from 1997. This excerpt provides an interesting rationale: ...
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  • 6,067
2 votes

Is fuzzy logic connected to neural networks?

They are unrelated. There is a possibility of interpreting fuzzy values as probabilities, but strictly speaking they are different: fuzzy values are vague, while probabilities reflect likelihood (see ...
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  • 5,062
1 vote

What is the role of the 'fuzzifier' w in Fuzzy Clustering?

Its not required, you can have $m=1$, actually it can be any number $\geq 1$. Now the better question is why to have it? The answer is that it adds a smoothing effect. Lets look at it in each of ...
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  • 2,289
1 vote
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Tuning the b parameter, ANFIS

After re-reading Jang's original (1993?) paper on ANFIS, I learned he recommended simply squaring the b-parameter to deal with the notion that b could be changed to a negative value when using back-...
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1 vote

Are there real applications of fuzzy logic?

Recently, I needed to develop a Fuzzy Logic algorithm to made inferences of any data entrance; the real case applied was in Oil and Gas Industry, that the code needs to infere Joint Types in Fluid ...
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1 vote

How to determine the probability of an "existence" question

You need some sort of interpretation abstraction before your mathematical reasoning. While the text might read "123", you need to parse this into a literal of type Natural Number or Integer. Similarly,...
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1 vote

How to determine the probability of an "existence" question

A human has an abstract concept of numbers in mind. So 456 is a unique entity which is by definition unlike any other number because that are other unique entities. If you give ∃x ∈ ℕ: x==123 to your ...
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  • 318
1 vote

What is fuzzy logic?

Fuzzy Logic is a way of dealing with uncertainties, which is something that computers don't do naturally which human do very well. The way we instantly think of dealing with things and the way that ...
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1 vote

What is fuzzy logic?

It is making deductions based on probability and statistics, like humans make decisions all the time. We are never 100% sure the decision we have made is the right one but there is always some doubt ...
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1 vote

What is fuzzy logic?

Why is it useful? Many things we don't know for sure. We estimate and are often uncertain, but nearly never 100% sure. It may seem like a weakness, but because of this fuzzy approach we can function ...
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