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Journal ArticleDOI

Data analysis based on discernibility and indiscernibility

Yan Zhao, +2 more
- 15 Nov 2007 - 
- Vol. 177, Iss: 22, pp 4959-4976
TLDR
The consideration of the matrix- counterpart of relations, and the relation-counterpart of matrices, brings more insights into rough set theory.
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This article is published in Information Sciences.The article was published on 2007-11-15. It has received 128 citations till now.

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Citations
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Proceedings ArticleDOI

An improved attribute significance measure based on rough set

TL;DR: An improved definition of attribute significance, which considers the change of the number of equivalence classes, is proposed in this paper, and an algorithm which can compute the new attribute significance by using the representation method of binary granule of the finite set is presented.
Posted Content

Computation of Reducts Using Topology and Measure of Significance of Attributes

TL;DR: A hybrid and viable method to deal with an information system in data mining is proposed, using topological techniques and the significance of the attributes measured using rough set theory, to compute the reduct, to reduce the randomness in the process of elimination of redundant attributes.
Posted Content

An axiomatic approach to the roughness measure of rough sets

TL;DR: This paper provides a unified construction of roughness measure, called strong Pawlak roughnessMeasure, and explores the properties of this measure and shows that the improved roughness measures in the literature are special instances of this measures.
Journal ArticleDOI

Feature selection and classification of intrusion detection system using rough set

TL;DR: An intrusion detection system that uses rough set theory for feature selection, which is extraction of relevant attributes from the entire set of attributes describing a data packet and used the same theory to classify the packet if it is normal or an attack.
Proceedings ArticleDOI

A new uncertainty measure of rough sets

TL;DR: This work presents a well-justified measure of uncertainty based on discernibility capability of attributes that does not only overcome the limitations of the existing measures but also consist with human cognition.
References
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Book

Rough Sets: Theoretical Aspects of Reasoning about Data

TL;DR: Theoretical Foundations.
Book ChapterDOI

The Discernibility Matrices and Functions in Information Systems

TL;DR: In this article, the authors introduce two notions related to any information system, namely the discernibility matrix and discernibility function, and obtain several algorithms for solving problems related among other things to the rough definability, reducts, core and dependencies generation.
Journal ArticleDOI

Relational interpretations of neighborhood operators and rough set approximation operators

TL;DR: This paper presents a framework for the formulation, interpretation, and comparison of neighborhood systems and rough set approximations using the more familiar notion of binary relations, and introduces a special class of neighborhood system, called 1-neighborhood systems.
Journal ArticleDOI

A generalized definition of rough approximations based on similarity

TL;DR: New definitions of lower and upper approximations are proposed, which are basic concepts of the rough set theory and are shown to be more general, in the sense that they are the only ones which can be used for any type of indiscernibility or similarity relation.
Book

Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory

TL;DR: The use of 'Rough Sets' Methods to draw Premonitory Factors for Earthquakes by emphasising Gas Geochemistry: The Case of a Low Seismic Activity Context in Belgium J.T. Polkowski is used.