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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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Journal ArticleDOI

δ-Cut Decision-Theoretic Rough Set Approach: Model and Attribute Reductions

TL;DR: A δ-cut decision-theoretic rough set is proposed, which is based on the δ -cut quantitative indiscernibility relation, and two different algorithms are designed to compute reducts, respectively, which show the lowest decision costs and the largest approximation qualities.
Journal ArticleDOI

A Study of Rough Set Approach in Gastroenterology

TL;DR: The type of abdominal pain of the patients who have several symptoms is determined through the rough set theory and information table and discernibility matrix and the status decision information is put forward.
Proceedings ArticleDOI

Rule induction based on decision matrix

TL;DR: This paper presents a method to simplify decision system on the premise of preserving classification ability of original decision system, and designs an efficient approach of rule induction based on decision matrix by using logical expression transformation.
Proceedings Article

Reducing dendrogram instability of features using rough set indiscernibility level

TL;DR: In this paper, a new method of clustering data based on the combination of indiscernibility and its indiscernity level is proposed, which is used to reduce the dendrogram instability.
Journal ArticleDOI

Computational Intelligence Approaches for Determination of Process Disturbance Patterns in an SPC-EPC System

TL;DR: Experimental results show that the proposed TDNN approach has the best performance of Accurate Identification rate (AIC) for determining the DP of an SPC/EPC system.
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.