Journal ArticleDOI
Data analysis based on discernibility and indiscernibility
TLDR
The consideration of the matrix- counterpart of relations, and the relation-counterpart of matrices, brings more insights into rough set theory.About:
This article is published in Information Sciences.The article was published on 2007-11-15. It has received 128 citations till now.read more
Citations
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Journal ArticleDOI
Defining rough sets using tolerances compatible with an equivalence
TL;DR: The essential properties of E-compatible tolerances are presented, the essential lattice-theoretical properties of the ordered set of rough sets {(XE, XT)∣X ⊆ U} are established and rough approximations defined by such E and T are studied.
Journal ArticleDOI
Dominance-based Rough Interval-valued Fuzzy Set in Incomplete Fuzzy Information System
TL;DR: By the proposed rough approximation, the ``at least'' and ``at most'' decision rules can be generated from the incomplete fuzzy information system with interval-valued decision by means of generalizing the rough approximation of a fuzzy set to therough approximation of an interval- valued fuzzy set.
Journal ArticleDOI
Incremental update of rough set approximation under the grade indiscernibility relation
TL;DR: This paper discusses the approaches for dynamically acquiring of the upper and lower approximations with respect to the grade indiscernibility relation when adding and removing an attribute or an object, and changing the attribute value of the object, respectively.
Proceedings ArticleDOI
Clustering based-on indiscernibility and indiscernibility level
TL;DR: The result of this paper show the dual notions of indiscernibility and its indiscernible level play an important role in clustering information systems.
Book ChapterDOI
Missing Data Estimation Using Rough Sets
TL;DR: Approximations for incompletely specified decision tables may be defined in a variety of different ways and the proposed techniques are unnecessarily complex and, therefore, difficult to use.
References
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Book ChapterDOI
The Discernibility Matrices and Functions in Information Systems
Andrzej Skowron,Cecylia Rauszer +1 more
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.