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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.

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1answer
15 views

What approach would work well for predicting earthquake intensity based on historical data?

My problem: I own warning system where I collect data from institutions and send them over through various ways to users. I would like to hear your advice on what approach I can use for solving my ...
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0answers
11 views

Deriving an ANFIS based controller

I have a Fuzzy controller with a desirable response, and I'm wanting to use the input and output data to derive an ANFIS based controller. ANFIS requires data for 2 inputs and 1 output, I have the ...
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1answer
27 views

How to calculate probability from fuzzy membership grade?

Suppose we have the fuzzy membership grade for a person $x$ with a set $S = \text{set of tall people}$ be $0.9$, i.e. $\mu_S(x)=0.9$. Does this mean that the probability of person $x$ being tall is $0....
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Can someone explain and help to understand this fuzzy diagram?

Could someone help me to understand in detail each step of this fuzzy diagram, because I am lost?
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12 views

What are some good use cases of Inference in Hybrid Domains (Logical + Continuous)?

So this question pertains to Statistical Relational Learning. Specifically in domains where you have a Knowledge base with probabilistic facts, you may think something like a Markov Logic Networks (...
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27 views

How to find a fuzzy set with a given relation matrix?

I have the following problem. How can I create a fuzzy set in $B$ using the given information? I clearly have no idea where to start. Any tips or solutions would be appreciated
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29 views

Fuzzy Rules making for sleep quality estimation

I have read this paper (its PDF): Sleep behavior assessment via smartwatch and stigmergic receptive fields At fuzzy classification part of paper said and referenced to this paper (19 REF.its PDF ...
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0answers
24 views

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 ...
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0answers
119 views

How can I write these rules with the AND operator in skfuzzy? [closed]

I have the following three rules If A is medium and B is low then quality is low If A is ...
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0answers
28 views

How do we determine the membership functions and values for this problem?

The goal of our project is to identify the quality of a grain and we have two values, A and B. ...
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0answers
22 views

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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2answers
295 views

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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0answers
55 views

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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1answer
72 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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1answer
418 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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2answers
143 views

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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0answers
163 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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1answer
1k views

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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2answers
128 views

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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1answer
222 views

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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0answers
260 views

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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1answer
48 views

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
13k views

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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1answer
1k 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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2answers
97 views

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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2answers
421 views

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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6answers
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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?