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Fuzzy Classification

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lightbulbAbout this topic
Fuzzy classification is a method in machine learning and data analysis that assigns data points to multiple categories with varying degrees of membership, rather than a single, definitive class. This approach accommodates uncertainty and ambiguity in data, allowing for more nuanced decision-making in complex systems.
lightbulbAbout this topic
Fuzzy classification is a method in machine learning and data analysis that assigns data points to multiple categories with varying degrees of membership, rather than a single, definitive class. This approach accommodates uncertainty and ambiguity in data, allowing for more nuanced decision-making in complex systems.

Key research themes

1. How can interval type-2 fuzzy sets enhance classification accuracy and uncertainty handling in fuzzy classification systems?

This theme focuses on the adaptation and optimization of interval type-2 fuzzy sets (IT2FS) and their integration with fuzzy information systems, particularly targeting the improvement of classification accuracy and robustness in uncertain real-world data contexts. IT2FS provide an enhanced framework to handle uncertainties in membership values beyond what type-1 fuzzy sets can provide. The research investigates the formulation of fuzzy rules from data, transformations to IT2 fuzzy rules, and the application of fuzzy inference models such as Mamdani and Takagi-Sugeno. Optimization of fuzzification parameters and rule induction approaches are also central to this theme.

Key finding: The paper presents a novel classification framework that induces type-1 fuzzy rules from data and transforms them into interval type-2 fuzzy rules, optimizing the footprint of uncertainty to better handle data vagueness.... Read more
Key finding: This research extends fuzzy information systems by introducing a method to induce type-2 fuzzy rules that are subsequently employed with the Takagi-Sugeno fuzzy model for classification. The optimization of fuzzy classifier... Read more
Key finding: This study proposes an interval type-2 intuitionistic fuzzy logic system incorporating elliptic membership functions to decouple uncertainty parameters from center and support. It offers improved uncertainty representation... Read more

2. What automated methods can effectively initialize and learn fuzzy partitions and rules for neuro-fuzzy classifiers to improve interpretability and accuracy?

The research within this theme centers on fully automating the generation of initial fuzzy partitions and rule bases for neuro-fuzzy classifiers to address the challenge of manual parameter tuning. Proper initialization is critical to avoid training failures such as getting trapped in local minima. The focus is also on developing algorithms that can select suitable set numbers and shapes of fuzzy sets per attribute, ensuring robust learning and human-interpretable fuzzy rules. The methodological contributions include data-driven determination of fuzzy partitions, elimination of user intervention, and improving classification performance through better learning criteria and model tuning.

Key finding: The paper introduces an algorithm that automatically derives suitable initial fuzzy partitions for neuro-fuzzy classifiers (e.g., NEFCLASS) from data, removing the need for user-specified fuzzy set numbers and shapes. This... Read more
Key finding: This work investigates multiple learning criteria for tuning fuzzy classifier parameters and presents a novel criterion that weights the distance between desired and actual fuzzy classification results by a penalty factor,... Read more
Key finding: Combining rough set theory with fuzzy inference systems, this paper develops a hybrid rough-fuzzy classifier model. Using the RSTbox toolbox for conditional rule generation, it facilitates automatic rule extraction and... Read more

3. How do fuzzy classification approaches compare in effectiveness and applicability across different data types and problem domains?

This theme covers experimental and methodological comparisons between fuzzy classification algorithms and their non-fuzzy counterparts, with an emphasis on performance metrics such as accuracy, interpretability, and computational efficiency. It includes evaluations of fuzzy clustering techniques against traditional methods, fuzzy decision trees for signal classification, and fuzzy classifiers in disease diagnosis and gene expression data analysis. The goal is to critically assess the strengths and limitations of various fuzzy approaches across practical applications.

Key finding: Through empirical studies on medical datasets (Liver Disorder and Wine), the paper compares partition-based clustering algorithms: fuzzy c-Means, Gustafson–Kessel (fuzzy), and k-means (non-fuzzy). Results indicate that... Read more
Key finding: This study integrates fuzzy classification within signal processing by incorporating a fuzzification step before classification using fuzzy decision trees. Applied to detecting defective aircraft engine turbine blades, the... Read more
Key finding: The paper explores the use of a hybrid genetic-fuzzy algorithm combining feature selection and fuzzy classification in medical disease diagnosis. Applied to benchmark datasets, the approach achieves competitive accuracy (up... Read more
Key finding: Introducing the Fuzzy Gene Selection (FGS) method, the study combines multiple gene ranking techniques through fuzzification and defuzzification to enhance gene selection from high-dimensional gene expression data. The... Read more

All papers in Fuzzy Classification

This paper reports on the design and development of an expert t%zzy classification scoring system for grading student writing samples. The growing use of ..m-iHm. .-sn..n..na +a,+, in ,k,e &.a&rx sectoi WllCwz'l 'szqJ"ux... more
In this paper, the concepts of fuzzy translation to fuzzy �� -ideals in BCK/BCIalgebras are introduced. The notion of fuzzy extensions and fuzzy multiplications of fuzzy �� -ideals with several related properties are investigated. Also,... more
Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The... more
the existing similarity measures. Our approach gives a better and more robust similarity measure.
In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić-type t-norm. For the usability of such findings we present... more
Musik adalah bentuk ekspresi perasaan atau pikiran yang dikeluarkan secara teratur dalam bentuk bunyi. Bisa dikatakan, bunyi (suara) adalah elemen musik paling dasar. Suara musik yang baik adalah hasil interaksi dari tiga elemen, yaitu:... more
This article deals with the new approach of finding the defuzzification / ranking index of various types of fuzzy sets. Traditionally, in most of the articles on fuzzy decision making the defuzzification methods are not justified with... more
In this paper, the fuzzy nonlinear programming problem is discussed. In order to obtain more accurate solution, the properties of fuzzy set and fuzzy number with linear membership function and fuzzy maximum decision maker is utilized to... more
In this work we use the Choquet integral as an aggregation function and we apply it in the fuzzy reasoning method of fuzzy rule-based classification systems. We study the behaviour of several fuzzy measures and we propose a genetic... more
Sensitivity indices are used to rank the importance of input design variables or components by estimating the degree of uncertainty of output variable influenced by the uncertainty generated from input variables or components. With the... more
Every textbook is built upon the foundation of key concepts. Books that contain concepts that share some common properties and are semantically related are more lucid and intelligible than those that contain many unrelated concepts. These... more
This paper deals with analyzing fuzzy data according to fuzzy groups.Fuzzy data a re characterized qualitatively in the form of fuzzy sets and fuzzy groups are defined by several fuzzy sets.In order to quantify such fuzzy data,a fuzzy... more
Concludo una breve rassegna dedicata ai pionieri dell'intelligenza artificiale (Turing, McCulloch & Pitts, Minsky) con l'articolo del 1958 di Frank Rosenblatt...
Recent studies have used high resolution imagery to estimate tree cover and changes in natural forest cover in Haiti. However, there is still no rigorous quantification of tree cover change accounting for planted or managed trees, which... more
In this paper, a new scheme for constructing parsimonious fuzzy classifiers is proposed based on the L2-support vector machine (L2-SVM) technique with model selection and feature ranking performed simultaneously in an integrated manner,... more
In 1967, Wee introduced the concept of fuzzy automata, using Zadeh's concept of fuzzy sets. A group semiautomaton has been extensively studied by Fong and Clay .This group semiautomaton was fuzzified by Das and he introduced fuzzy... more
The objective of this paper to investigate the notion of complex fuzzy set in general view. In constraint to a traditional fuzzy set, the membership function of the complex fuzzy set, the range from [0.1] extended to a unit circle in the... more
The fuzzification of pseudo subalgebras/ideals in d-algebras and pseudo BCK-ideals is discussed. Several properties are investigated. Relations between fuzzy pseudo BCK-ideals and fuzzy pseudo d-ideals are established. Conditions for a... more
Definition 1 10 : Let X be a non-empty set and d: X × X → ℝ + is a real-valued function satisfying: Then d is called a metric in X, and (X, d) is called a metric space.
This paper presents an experimental study on the performance of online fuzzy classifiers. First, a formulation is given for the fuzzy classifier that is used in this paper. Then, online learning techniques that were proposed in the... more
This paper discusses fuzzy reasoning for approximately realizing nonlinear functions by a small number of fuzzy if-then rules with different specificity levels. Our fuzzy rule base is a mixture of general and specific rules, which overlap... more
We propose a hybrid algorithm of two fuzzy genetics-based machine learning approaches (i.e., Michigan and Pittsburgh) for designing fuzzy rule-based classification systems. First, we examine the search ability of each approach to... more
Many image processing applications involve a pattern classification stage. In this paper we propose a classifier based on fuzzy if-then rules that allows the incorporation of weighted training patterns which can be used to adjust the... more
This paper solves the issues of determining the number Fn of fuzzy subsets of a nonempty finite set X. To solve this, this paper incorporates the equivalence relation on the collection of all fuzzy subsets of X. We derive two closed... more
Fuzzy inference systems have been successfully applied to many real-world applications. Traditional fuzzy inference systems are only applicable to problems with dense rule bases by which the entire input domain is fully covered, whilst... more
Fuzzy inference systems have been successfully applied to many real-world applications. Traditional fuzzy inference systems are only applicable to problems with dense rule bases by which the entire input domain is fully covered, whilst... more
Even though a large number of research studies have been presented in recent years for ranking and comparing fuzzy numbers, the majority of existing techniques suffer from plenty of shortcomings. These shortcomings include... more
In this paper, a novel fuzzy classification method is presented for very fast evaluation. The idea is the usage of a multidimensional matrix for data classification purposes, in which the attribute values of the input data are used as... more
One rule fuzzy-genetic classifier. . IEEE. Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that... more
published under the terms of a Creative Commons license (CC BY).
Fuzzy relations are compared by membership values and as a consequence new types of local properties of fuzzy relations are introduced. In the new properties of fuzzy relations an arbitrary binary relation is involved. Particularly, a... more
This paper presents a comprehensive overview of the adaptation of fuzzy systems based on Ordered Fuzzy Numbers (OFNs), an extension of classical fuzzy set theory that allows for more accurate modeling of uncertainty and variability across... more
Fuzzy classification has become of great interest because of its capacity to provide more useful information for geographic information systems. This paper describes an explicit fuzzy supervised classification method which consists of... more
Complex fuzzy sets (CFS) generalize traditional fuzzy sets (FS) since the membership functions of CFS reduces to the membership functions of FS. FS values are always at [0, 1], unlike CFS which has values in the unit disk of C. This paper... more
Fuzzy defuzzification is one of the most important part of the fuzzy control. Several approaches exist. Mamdani uses the α-cuts and builds the union of the membership function. The resulted function is the starting point of the... more
Handling uncertainty and vagueness in real world becomes a necessity for developing intelligent and efficient systems. Based on the credibility theory, a fuzzy clustering approach that improves the classification accuracy is targeted by... more
A typical algorithm for signal classification consists of two steps: signal preliminary transformation and classification itself. The procedures of preliminary transformation are used to extract specific features of the initial signal and... more
A typical algorithm for signal classification consists of two steps: signal preliminary transformation and classification itself. The procedures of preliminary transformation are used to extract specific features of the initial signal and... more
Artificial intelligence (AI) and machine learning (ML) are increasingly integrated into clinical workflows, yet evidence comparing their real-world effectiveness remains fragmented. This review systematically evaluates AI/ML methods... more
Fuzzy logic is determined as a set of mathematical principles for knowledge representation based on degrees of membership rather than on crisp membership of classical binary logic. Membership function determines the performance of fuzzy... more
Yang et al., in their paper "Fuzzy programming with nonlinear membership functions ...", published in Fuzzy Sets and Systems 41 (1991 ), declared that their model can solve a fuzzy program with an S-shaped membership function by adding... more
This study presents an approximate approach for ranking fuzzy numbers based on the centroid point of a fuzzy number and its area. The total approximate is determined by convex combining of fuzzy number's relative and its area that based... more
A vexing problem in a conventional fuzzy control is the exponential growth in rules as the number of variables increases. This problem is avoided here by the introduction of a new, nonconventional analytic adaptive method for synthesising... more
The main advantage of a fuzzy control system is the fact that no mathematical model of the controlled plant is required. Instead of that model, it is necessery to construct a fuzzy rule base for each particular application case. A vexing... more
The main advantage of a fuzzy control system is the fact that no mathematical model of the controlled plant is required. Instead of that model, it is necessery to construct a fuzzy rule base for each particular application case. A vexing... more
Al-Hawary [1] introduced and explored the class of ζ−open sets which is strictly weaker than open and proved that the collection of all ζ−open subsets of a space forms a topology that is finer than the original one. In this paper, we... more
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