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Rough Sets: Introduction, History and Selected Applications (Tutorial Lecture — Extended Abstract)

Dutta Soma, Ciucci Davide

Annals of Computer Science and Information Systems

2023

Vol. 35

69--70

The aim of this tutorial is to present a brief overview of the theory of rough sets from the perspective of its mathematical foundations, history of development, as well as connections with other branches of mathematics and informatics. The content concerns both the theoretical and practical aspects of applications. The above mentioned target of the tutorial will be covered in two parts. In the first part we would aim to present the introduction to rough sets and the second part will focus on the connections with other branches of mathematics and informatics. In particular, in the second part, we will discuss the connections of rough sets with logics, topology and algebra, and graph theory (when it comes to mathematics), as well as knowledge representation, machine learning and data mining, and theoretical computer science (when it comes to informatics).

Artificial Intelligence in Personalized Healthcare Analysis for Womens’ Menstrual Health Disorders

Sosnowski Łukasz, Żuławińska Joanna, Dutta Soma, Szymusik Iwona, Zyguła Aleksandra, Bambul-Mazurek Elżbieta

Annals of Computer Science and Information Systems

2022

Vol. 30

751--760

The paper presents an AI-based model which depending on the input of a woman for a finite number of menstrual cycles helps in determining the possible ovulation dates as well as possibility of some health risks e.g., Premenstrual Syndrome, Luteal Phase Defect etc. The architecture of the model consists of three layers, namely analyzing and detecting the features from a single cycle, analyzing cycle level concepts based on the analyzed features, and analyzing the user's health risks based on the cycle level concepts accumulated over a finitely many cycles.

Linking Reaction Systems with Rough Sets

Dutta Soma, Rozenberg Grzegorz, Jankowski Andrzej, Skowron Andrzej

Fundamenta Informaticae

2019

Vol. 165, nr 3-4

283--302

Reaction system is a model of interactive computations which was motivated by the functioning of the living cell. It is an idealized mathematical model, also because it abstracts from the complex nature of the physical systems where only partial, incomplete information is available (e.g., about their states). The framework of rough sets was developed to deal with such incomplete information. In this paper we establish a connection between reaction systems and rough sets. This is done in a somewhat broader perspective of the relationship between “pure” mathematical models and “realistic models” that take into account the limitation of perceiving physical reality.