Artificial Intelligence Stack Exchange
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Questions tagged [fuzzy-logic]

Fuzzy logic is a variant of boolean logic, where the values are real numbers between 0 and 1 (inclusive), rather than only the integer numbers 0 and 1. Use this tag for questions that involve this real-valued logic.

Fuzzy logic is an alternative to boolean logic.

In boolean logic, every statement is either true or false. Usually "1" is used to represent "true" and "0" is used to represent "false".

Fuzzy logic is an extension of this concept, where statements do not have such absolute values. Instead, the truth value is a real number in the range [0..1].

As such, fuzzy logic is a real-number version of multi-valued logic.

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What is fuzzy logic?

I'm new to A.I. and I'd like to know in simple words, what is the fuzzy logic concept? How does it help, and when is it used?
kenorb
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How do we decide which membership function to use?

In classical set theory, there are two options for an element. It is either a member of a set or not. But in fuzzy set theory, there are membership functions to define the "rate" of an element being a member of a set. In other words, classical logic…
buzzer
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How can fuzzy logic be used in creating AI?

Fuzzy logic is the logic where every statement can have any real truth value between 0 and 1. How can fuzzy logic be used in creating AI? Is it useful for certain decision problems involving multiple inputs? Can you give an example of an AI that…
wythagoras
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Are there real applications of fuzzy logic?

This question covers in detail, what fuzzy logic is and how it relates to other math fields, such as boolean algebra and sets theory. This question is also very related, but the answers are focused more on general intuition and potential…
Maxim
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Why did fuzzy logic fall out of fashion?

Fuzzy logic seemed like an active area of research in machine learning and data mining back when I was in grad school (early 2000s). Fuzzy inference systems, fuzzy c-means, fuzzy versions of the various neural network and support vector machine…
Alex S King
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What is the relationship between fuzzy logic and objective bayesian probability?

I understand fuzzy logic is a variant of formal logic where, instead of just 0 or 1, a given sentence may have a truth value in the [0..1] interval. Also, I understand that logical probability (objective bayesian) understands probability as an…
olinarr
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Why has statistics-based AI become more popular than other forms of AI?

What is the fundamental reason that statistics-based AI (e.g., ML and Neural Net) has become more popular than other forms of AI, e.g., Fuzzy Logic and rules-based AI (e.g., Prolog)?
user366312
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How to determine the probability of an "existence" question

I am having a go at creating a program that does math like a human. By inventing statements, assigning probabilities to statements (to come back and think more deeply about later). But I'm stuck at the first hurdle. If it is given the proposition …
zooby
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What is the difference between fuzzy neural networks and adaptive neuro fuzzy inference systems?

I have, like you see, just a general question about the combination of fuzziness and neural networks. I understood it as follows Fuzzy neural networks as a hybrid system: the neural network helps me to find the optimal parameters related to the…
Eli Hektor
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Is fuzzy logic connected to neural networks?

Fuzzy logic is typically used in control theory and engineering applications, but is it connected fundamentally to classification systems? Once I have a trained neural network (multiple inputs, one output), I have a nonlinear function that will turn…
Steven Sagona
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Choice of fuzzification function

I'm a relative newbie to fuzzie logic systems but I have some knowledge in mathematics. I have the following problem: I want to fuzzify certain values. Some are in the range [-$\inf$,$\inf$] and some are in the range [$0$,$\inf$]. For the first…
FuzzyUser
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Fuzzy confusion matrix for fuzzy classifier

Let us suppose I have a NxN matrix and I want to classify in M classes each entry of the matrix using a fuzzy classifier. The output of my classifier will be, for each matrix entry, an M-dimensional vector containing the probabilities for the entry…
Simone Bolognini
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Tuning the b parameter, ANFIS

In order for the generalized bell membership function to retain its defined shape and domain, two restrictions must be placed on the b parameter: 1) b must be positive and 2) b must be an integer. Using backpropagation to tune the membership…
Matt Cremeens
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Defining formula for fuzzy equation

I'm learning fuzzy logic and more or less understand the basic concept, but i'm having a hard time understanding how to apply it to a method. I tried browsing online for explanation on how to use it, but only found some implementation and test case…
Dizz
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Does this property in product fuzzy logic have a name and any consequences?

In product fuzzy logic, the $AND$ operator of two variables $x_0$ and $x_1$ is the product $x_0x_1$. Using the $NOT(x)$ as $1-x$, expressions for the other three minterms are easily obtained. $$\overline{x_0}x_1 = (1-x_0)x_1$$ $$x_0\overline{x_1} =…
Jaume Oliver Lafont
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