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.

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How can I formulate a fuzzy inference system to approximate the tangent function?

Consider the function $f(x)=\tan(2x)$. How can I determine a fuzzy system that approximates $f(x)$? How to choose membership functions and how to determine fuzzy rules? Any help would be appreciated.
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How can I prove that all the a-cuts of any fuzzy set A defined on $R^n$ are convex?

How can I prove that all the a-cuts of any fuzzy set A defined on $R^n$ are convex if and only if $$\mu_A(\lambda r + (1-\lambda)s) \geq min \{\mu_A(r), \mu_A(s)\}$$ such that $r, s \in R^n$, $\...
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The membership function of Consequents (Outputs) in Fuzzy classifier

The problem in Iris data is to classify three species of iris (setosa, versicolor and virginica) by four-dimensional attribute vectors consisting of sepal length (x1) sepal width (x2) petal length (...
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53 views

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 (...
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Can Fuzzy logic become more objective?

On the first look, fuzzy logic is an efficient way in dealing with uncertainty. It allows to store vague information into a float variable which allows similar to a color gradient a realistic ...
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Neuro fuzzy systems and it's application

I was wondering if it's possible to use Neuro fuzzy systems where ANNs are used, e.g having a tabular data for regression task or using it for classification tasks. What kind of advantage can give me ...
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1answer
75 views

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

According to my lecture, Fuzzy c-Means tries to minimize the following objective function: $$J(X,B,U)=\sum_{i=1}^c\sum_{j=1}^n u_{ij}^w \, d^2(\vec{\beta_i},\vec{x_j})$$ where $X$ are the data ...
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Is fuzzy logic invalid?

Fuzzy logic would seem to be wrong because it contradicts fundamental principles in nature: A thing can be either small or tall. A bird can either fly or not. If the bird is in the air, it is flying, ...
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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 ...
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110 views

Should Fuzzy Logic be taught at university?

Classical logic is an important part of university curriculum. It is about the distinction between zero and one and is useful to get a deeper understanding how a computer is working. If a student ...
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Genetic algorithm generation of fuzzy rules with artificial network adjustment of fuzzy probabilities

Are there any working AI system designs or theory to support a system where an artificial network is trained to to adjust fuzzy probabilities and modify the parameters of a genetic algorithm that ...
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1answer
38 views

Can Fuzzy Logic Control Self-tune as Other Learning Systems Do?

This inquiry appeared in the comments to one of the answers of this question, but is actulaly not related to emotional intelligence, so it is reproduced here as a separate question I thought (maybe ...
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Are fuzzy commands resulting into a general game playing architecture?

During reading some papers about fuzzy systems, I've recognized a subtopic called “fuzzy commands”. The idea is to provide a sentence in natural language, like “move ball to right”, and the fuzzy ...
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How important is fuzzy logic for Artificial Intelligence?

On Google Scholar the term fuzzy logic results into a list of 1 million papers, which is a lot. The subproblem of “Fuzzy control” has around 238000. If we are assuming, that the total number of papers ...
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117 views

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 ...
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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 ...
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Machine diagnostics with fuzzy Logic

I'm an embedded systems designer, with a little background in fuzzy logic. I'm developing a device for machine diagnostics based on a series of sensors data. My question is whether through fuzzy ...
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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, ...
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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 ...
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How can I use FuzzyLite with Java? [closed]

I have installed FuzzyLite. Now, I want to use it in java, but I could not find any documentation or examples to learn how to use this package. Could you kindly tell me what should I do?
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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. ...
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4answers
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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 ...
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960 views

Fuzzy Logic Controller: Choosing Membership Function

In classical set theory there is 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 "rate" of an element being a ...
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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 ...
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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 ...
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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?