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Rough Sets

International Journal of Computer & Information Sciences, 1982
Summary: We investigate in this paper approximate operations on sets, approximate equality of sets, and approximate inclusion of sets. The presented approach may be considered as an alternative to fuzzy set theory and tolerance theory. Some applications are outlined.
openaire   +1 more source

Neutrosophic fusion of rough set theory: An overview

Computers in industry (Print), 2020
Neutrosophic sets (NSs) and logic are one of the influential mathematical tools to manage various uncertainties. Among diverse models for analyzing neutrosophic information, rough set theory (RST) provides an effective way in the field of neutrosophic ...
Chao Zhang   +5 more
semanticscholar   +1 more source

Fuzzy rough set-based attribute reduction using distance measures

Knowledge-Based Systems, 2019
Attribute reduction is one of the most important applications of fuzzy rough sets in machine learning and pattern recognition. Most existing methods employ the intersection operation of fuzzy relations to construct the dependency function of attribute ...
Changzhong Wang   +3 more
semanticscholar   +1 more source

ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS

Fundamenta Informaticae, 1996
The paper explores the concepts of approximate relations and functions in the framework of the theory of rough sets. The difficulties with the application of the idea of rough relation to general rough function definition are discussed. The definition of rough function for the domain of real numbers is introduced and its properties are investigated in ...
openaire   +3 more sources

Intuitionistic Fuzzy Rough Set-Based Granular Structures and Attribute Subset Selection

IEEE transactions on fuzzy systems, 2019
Attribute subset selection is an important issue in data mining and information processing. However, most automatic methodologies consider only the relevance factor between samples while ignoring the diversity factor.
Anhui Tan   +5 more
semanticscholar   +1 more source

Selection of Rich Model Steganalysis Features Based on Decision Rough Set $\alpha$ -Positive Region Reduction

IEEE transactions on circuits and systems for video technology (Print), 2019
Steganography detection based on Rich Model features is a hot research direction in steganalysis. However, rich model features usually result a large computation cost.
Yuanyuan Ma   +4 more
semanticscholar   +1 more source

Information fusion in rough set theory : An overview

Information Fusion, 2019
Rough set theory is an efficient tool for dealing with inexact and uncertain information. Numerous studies have focused on rough set theory and associated methodologies, and in recent decades, various models and algorithms have been proposed.
Wei Wei, Jiye Liang
semanticscholar   +1 more source

Structured approximations as a basis for three-way decisions in rough set theory

Knowledge-Based Systems, 2019
A major application of rough set theory is concept analysis for deciding if an object is an instance of a concept based on its description. Objects with the same description form an equivalence class and the family of equivalence classes is used to ...
Mengjun Hu, Yiyu Yao
semanticscholar   +1 more source

Novel concepts of soft rough set topology with applications

Journal of Intelligent & Fuzzy Systems, 2019
Rough set theory initiated by Pawlak [16] and soft set theory initiated by Molodtsov [15] are strong mathematical tools for handling uncertain and vague information.
M. Riaz   +3 more
semanticscholar   +1 more source

Local rough set: A solution to rough data analysis in big data

International Journal of Approximate Reasoning, 2018
As a supervised learning method, classical rough set theory often requires a large amount of labeled data, in which concept approximation and attribute reduction are two key issues.
Y. Qian   +8 more
semanticscholar   +1 more source

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