# Questions tagged [fuzzy]

Refers to generalizations of various concepts from binary (either 0 or 1) to continuous (from 0 to 1). Use this tag for all fuzzy concepts, such as fuzzy sets, fuzzy clustering, fuzzy logic, etc.

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### Fuzzy membership - Kernel SVM in R

I'm trying to perform a binary classification task using SVM with radial basis kernel in R and I want to assign fuzzy memberships to the datapoints. Already existing function in R packages such as ...
35 views

### Practical considerations for EM clustering

EM algorithm guarantees finding a local rather then global minimum of the likelihood. As a consequence, the results are dependent on the initial conditions (e.g., if randomly choosing the initial ...
1 vote
30 views

### Selecting "Statistical Distances" for "Fuzzy Match"

I am trying to better understand how to select "statistical distances" for "fuzzy matching". To illustrate my problem, consider the following two datasets (I created this using the ...
35 views

### Intuitive explanation of Choquet Integral for data aggregation

I've recently stumbled upon this python package that implements Choquet integral as a way of aggregating data. Does anyone have an intuitive way of explaining how does this integral work in this case?
8 views

### chi2 test like when one categorical variable is a membership matrix

When one want to test if two categorical variables X and Y are related, it is possible to do a simple chi2 test in a contingency table. Now, imagine that X is a membership matrix of size n*k (n = ...
19 views

### Fuzzy Match 2 large datasets using bootstrap

I have 2 large datasets. Dataset1 with data attributes: Company Name, State, Zip; Dataset2 with data attributes: Client Name, State, Zip. Dataset1 has total 3.8M total observations and dataset2 has ...
1 vote
109 views

### Does the Membership Matrix of Fuzzy C-Means Clustering contain probabilities or degrees of membership?

I recently heard a lecture on Fuzzy C-Means Clustering that stated that the Membership Matrix contains probabilities that particular data points are members of particular clusters. I was confused by ...
71 views

### What regression approach would suit zero-inflated data that is censored at a fuzzy threshold?

Monthly grid-cell burned area estimates are (almost) lognormally distributed, censored at a fuzzy threshold and zero-inflated. I want to predict burned area from weather etc. About 40% of the ...
1 vote
37 views

### Error with Fuzzy Tree model in Matlab [closed]

I create a fuzzy tree (aggregated structure) in Matlab and I have an error which I hope to be supported. My fuzzy tree has 3 fuzzy models (fis1, fis2, fis3). fis1 is the tipper1 and it has 2 inputs: ...
102 views

### How to fill the missing time series data?

I am currently working on the COVID data of a US state to predict the number of people affected per day and also the number of patients is hospitalized per day by developing the Fuzzy Mamdani Model ...
7 views

### Regression with a fuzzy nominal predictor

I am looking at count + offset (rate) data that can be grouped into historical periods, but the borders between the periods are fuzzy, as in the specific year that delineates one period from another ...
61 views

### fuzzy hierarchical clustering

From the Fuzzy C-Means point of view: Every data point belongs to all the cluster which is given by their degree of membership to each cluster. How do I view it in the case of Hierarchical Clustering?...
1 vote
61 views

### How to apply fuzzy membership function to binary images?

I'm implementing this paper "Neural Network-Based Edge Detection for Automated Medical Diagnosis by Lu et al" and it says it uses a fuzzy membership function to improve its generalization accuracy. ...
1 vote
58 views

### what`s the name or meaning of this clustering algorithm?

I have been learning the fuzzy clstering algorithm recently,and I got an object function as following: \begin{array}{l} \min \;\;J = \sum\limits_{i = 1}^N {\sum\limits_{k = 1}^K {\sum\limits_{j = 1}^...
2k views

### What ever happened to Fuzzy Logic?

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 ...
2k views

### 2SLS Estimation for a Fuzzy Regression Discontinuity Design

I am using a Fuzzy Regression Discontinuity Design for the first time and this maybe a very basic question to some. I am estimating the Fuzzy RD with 2SLS. Suppose, my data is of the following form: ...
1k views

### Interaction Term in Fuzzy RD

I'm hoping someone can help me understand the intuition behind the interaction term in a fuzzy RD model. The setup is as follows: $x$ = rating variable with discontinuity at $x = k$ $D$ = dummy=1 if ...
1 vote
58 views

### fuzzy rule extraction using fuzzy c-means

I have read an article which is about implementing classification methods using fuzzy-inference. It has used c-means, in one of its parts, for extracting fuzzy-rules. It says we have a fuzzy-rule ...
106 views

### Comparing the performance of a fuzzy model and a probabilistic classifier

For a binary classification task, I have (1) a fuzzy model (Mamdani) that outputs a number between 0 and 20 (after defuzzification) and (2) a logistic regression that outputs a number between 0 and 1. ...
61 views

### Can fuzzy numbers be used to propagate uncertainty?

I don't know if this is the right forum to ask this, but I'm currently reviewing a paper that uses arithmetic on fuzzy numbers to propagate uncertainty. As I understand the authors, they claim that ...
975 views

### Intercoder reliability without mutually-exclusive codes

I have the results from qualitatively coding the contents of ~100 images, with 7 categories and 96 tags in total. It's incredibly difficult to define mutually exclusive codes for the content we're ...
28 views

### Is there any practical situation where the response variable of a poisson regression is fuzzy

In certain models like a logistic model; fuzzy responses can occur. We may have suspicion in determining the state of the response variable (0 or 1) and therefore, cannot categorize the individual ...
750 views

### Fuzzy RDD in Stata with two cutoff points

I am running a Fuzzy Regression Discontinuity Design using 2SLS. If I specified the model (and most importantly the IVs) correctly as i have never worked on a RDD before. The difference to the usual ...
68 views

### Find the best matching element from a bunch of questions [closed]

First, I am sorry I have poor knowledge of math and statistics (but willing to learn). So it could contain non-sense and I would be glad to precise my thought. Here is the thing; I will have elements ...
1k views

### Algorithm recommendation: Short string classification/matching (fuzzy string matching or machine learning ?)

I have a product categories tree with names like apparel, jeans, beauty & wellness etc. ...
1 vote
53 views

### IoT - Sensor Fault Detection and Isolation Techniques using Fuzzy-Model

Im working on a project which use fuzzy-model based fault detection and isolation technique to detect and diagnose possible fault occurrence on multiple types of sensor. I got stuck with the scheme of ...
1 vote
119 views

### What type of data is causing the zero Sigma in Anfis?

I find this paragraph in "Intelligent Systems and Applications: Extended and Selected Results from the ..." book that discarded some data from dataset because they were not acceptable by the MATLAB ...
1 vote
55 views

### Can inferencing come from incomplete rule sets?

I have some data for medical diagnosis, consisting of some rules about relationship of diseases and their symptoms, for example disease D1 frequently has symptom S1 ...
1 vote
159 views

### FIS with k-fold cross validation?

I want to measure the fuzzy system performances directly through cross-validation. How can I do this? How the concept of training to get model and test the model?
1 vote
243 views

### Feature Selection using Fuzzy Logic

I would like to know, Is it possible to do dimensionality reduction/ feature selection using Fuzzy logic ? If so, how does it work ?. Advance thanks for the help.
1 vote
111 views

### Event similarity based on probability distance measure

Hеllо еvеrybоdy! It became interesting to me to code the following case: I have some spatio temporal events, and they have uncertain boundaries (for example "John visited England in April" and "Harry ...
1 vote
80 views

### How to estimate daily spam rate from random hourly sampling?

Problem at hand: I need to compute daily ratio of spam vs non spam emails by sampling N number of emails per unit of time. In other words, instead of collecting all emails and sorting them, I would ...
1 vote
98 views

### Is it possible to summarize unordered daily observations of counts in multiple time series?

I have a database of items, each of which is associated with one or more daily unordered time series; one time series for each source it's available from on a given day. Each observation in the ...
407 views

### Probabilistically-weighted variance

How do I calculate a statistic for one mixture component? My samples are drawn from a distribution which is an additive mixture of two overlapping component distributions. Given a probabilistic ...
177 views

### Fuzzy logic and Artificial Intelligence

Is it correct to classify fuzzy logic under Artificial Intelligence i.e. can fuzzy logic be considered a concept under the purview of of AI. If not how can we classify fuzzy logic.
1 vote
82 views

### Fuzzy logic control model

I'm new in fuzzy logic modeling. I'm using the package "sets" in R. Starting form a database of crisps variables of 8 input varialbes and 1 output variable, I performed the fuzzyfication and I ...
756 views

### Initializing Fuzzy C means clustering

I have been performing fuzzy c means clustering using Matlab toolbox for my clustering problem. Unfortunately it leads to unstable performance since the selection of parameter membership (Uij) is ...
1 vote
774 views

### ANFIS with cross-validation?

Can I use cross-validation k-fold for making FIS and optimization it with ANFIS or ANFIS itself has cross-validation? First my data was divided into two group randomly. One for making model and other ...
111 views

### correlation between attributes in fuzzy dataset

I am new in this field. I want to ask if it is any simple way how to measure correlation between two attributes in data set. Data are defined by fuzzy logic. I have own implementation of fuzzy ...
460 views

### How to do postal addresses fuzzy matching?

I would like to know how to match postal addresses when their format differ or when one of them is mispelled. So far I've found different solutions but I think that they are quite old and not very ...
2k views

### How to improve the performance of svm by using fuzzy membership function in R?

According to Lin and Wang, 2002, fuzzy support vector machine gives good performance on reducing the effects of outliers and significantly improves the classification accuracy and generalization. ...
1 vote
322 views

### Statistical test whether to use Sharp or Fuzzy Regression Discontinuity Design

Is there a statistical test that would allow me to test whether I should use a sharp or fuzzy regression discontinuity design? Intuitively, I can think of two decision rules: (i) Test whether the ...
412 views

### Fuzzy Clustering Evaluation Metrics

I have a corpus of text documents which I am clustering using LDA & C-Means. I am trying to find the best input for the LDA algorithm (stemming, stop words removed etc), and I want to evaluate the ...
48 views

### How do I estimate the acceptable range?

I need to classify candidates as "good" or "bad" where a "good" candidate's age and income, say, must fall within some ranges; I'm trying to discover the boundaries for those ranges. A candidate must ...
1 vote
164 views

### Alternative Optimization, Picard Iterations and Fuzzy C-Means (FCM) objective function

Question In Bezdek's  treatment of FCM (details below) after setting up the model and explaining you can't solve it directly/with usual gradient methods, he then says he uses Picard's method to ...
1 vote
704 views

### How can I solve this classification problem?

I working with R on a classification problem. My outcome variable is binary with two levels 1 and 2. First of all I tried the logistic regression, which of all methods has the best performance, ...
1 vote
993 views

### Testing Clustering Variables

I have two clusters. Those two clusters were obtained using Fuzzy C-Means with 8 variables. I'd like to know which variables have important role in differentiating the two clusters. Can I use t test ...
75 views

### Analysing the spread of data of a variable

In my data set there are repeated measures where each subject is measured at three time points.I want to see how the data of a single variable is spread.That is to find groups so that I can categorize ...
I’ was reading a paper on fuzzy regression. In that paper, and many other papers on fuzzy regression, the authors use most of the time a $h$ to indicate a certain degree of belief. Unfortunately the ...