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Related papers: Application of Rough Set Theory in Data Mining

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Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

In this paper, we propose a new practical association rule mining algorithm for anomaly detection in Intrusion Detection System (IDS). First, with a view of anomaly cases being relatively rarely occurred in network packet database, we…

Cryptography and Security · Computer Science 2016-10-17 Hyeok Kong , Cholyong Jong , Unhyok Ryang

In 1999, Molodtsov \cite{1} developed the idea of soft set theory, proving it to be a flexible mathematical tool for dealing with uncertainty. Several researchers have extended the framework by combining it with other theories of…

General Mathematics · Mathematics 2025-06-02 Santanu Acharjee , Sidhartha Medhi

In robust optimization, we would like to find a solution that is immunized against all scenarios that are modeled in an uncertainty set. Which scenarios to include in such a set is therefore of central importance for the tractability of the…

Optimization and Control · Mathematics 2024-10-14 Jamie Fairbrother , Marc Goerigk , Mohammad Khosravi

Deep neural networks have seen enormous success in various real-world applications. Beyond their predictions as point estimates, increasing attention has been focused on quantifying the uncertainty of their predictions. In this review, we…

Machine Learning · Computer Science 2023-02-06 Chengyu Dong

Deep Learning is a consolidated, state-of-the-art Machine Learning tool to fit a function when provided with large data sets of examples. However, in regression tasks, the straightforward application of Deep Learning models provides a point…

Machine Learning · Computer Science 2018-07-25 Axel Brando , Jose A. Rodríguez-Serrano , Mauricio Ciprian , Roberto Maestre , Jordi Vitrià

The theory of rough sets was firstly introduced by Pawlak (see \cite{p}). Many Mathematician has been studied the relations between rough sets and algebraic systems such as groups, rings and modules. In this paper we will introduce the…

Group Theory · Mathematics 2016-02-26 Waqas Mahmood

This paper presents a novel feature of the kernel-based system identification method. We prove that the regularized kernel-based approach for the estimation of a finite impulse response is equivalent to a robust least-squares problem with a…

Optimization and Control · Mathematics 2021-05-27 Mohammad Khosravi , Roy S. Smith

We present a new approach to classification that combines data and knowledge. In this approach, data mining is used to derive association rules (possibly with negations) from data. Those rules are leveraged to increase the predictive…

Artificial Intelligence · Computer Science 2025-10-22 Gilles Audemard , Sylvie Coste-Marquis , Pierre Marquis , Mehdi Sabiri , Nicolas Szczepanski

Uncertainty sets are at the heart of robust optimization (RO) because they play a key role in determining the RO models' tractability, robustness, and conservativeness. Different types of uncertainty sets have been proposed that model…

Optimization and Control · Mathematics 2021-07-13 Meysam Cheramin , Richard Li-Yang Chen , Jianqiang Cheng , Ali Pinar

Coreset of a given dataset and loss function is usually a small weighed set that approximates this loss for every query from a given set of queries. Coresets have shown to be very useful in many applications. However, coresets construction…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Gilad Eini , Ben Mussay , Dan Feldman , Margarita Osadchy

This paper focuses on designing expert systems to support decision making in complex, uncertain environments. In this context, our research indicates that strictly probabilistic representations, which enable the use of decision-theoretic…

Artificial Intelligence · Computer Science 2013-04-15 Samuel Holtzman , John S. Breese

With the widespread adoption of process mining in organizations, the field of process science is seeing an increase in the demand for ad-hoc analysis techniques of non-standard event data. An example of such data are uncertain event data:…

Artificial Intelligence · Computer Science 2022-04-11 Marco Pegoraro

Today, as increasingly complex predictive models are developed, simple rule sets remain a crucial tool to obtain interpretable predictions and drive high-stakes decision making. However, a single rule set provides a partial representation…

Machine Learning · Computer Science 2024-06-06 Martino Ciaperoni , Han Xiao , Aristides Gionis

In a dynamic environment, knowledge reduction of information systems with variations of object sets, attribute sets and attribute values is an important topic of rough set theory, and related family-based attribute reduction of dynamic…

Information Theory · Computer Science 2018-09-05 Mingjie Cai , Guangming Lang

Mining association rules is a task of data mining, which extracts knowledge in the form of significant implication relation of useful items (objects) from a database. Mining multilevel association rules uses concept hierarchies, also called…

Databases · Computer Science 2010-12-30 Mohamed Salah Gouider , Amine Farhat

Traditional statistical and measurements are unable to solve all industrial data in the right way and appropriate time. Open markets mean the customers are increased, and production must increase to provide all customer requirements.…

General Economics · Economics 2020-11-26 Hamza Saad

Phishing is a common online weapon, used against users, by Phishers for acquiring a confidential information through deception. Since the inception of internet, nearly everything, ranging from money transaction to sharing information, is…

Artificial Intelligence · Computer Science 2013-12-11 Anugrah Kumar , Sanjiban Shekar Roy , Sarvesh SS Rawat , Sanklan Saxena

Process mining is a discipline which concerns the analysis of execution data of operational processes, the extraction of models from event data, the measurement of the conformance between event data and normative models, and the enhancement…

Data Structures and Algorithms · Computer Science 2022-04-09 Marco Pegoraro , Merih Seran Uysal , Wil M. P. van der Aalst

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

Artificial Intelligence · Computer Science 2013-04-08 Henri Farrency , Henri Prade