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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BookDOI
Rough Sets. International Joint Conference, IJCRS 2020, Havana, Cuba, June 29 – July 3, 2020, Proceedings
TL;DR: A rough reasoning framework is developed where KB’s consist of rough formulas with a semantics based on a generalization of Kleene algebras and a forgetting operator is defined that can be applied to rough KBs removing rough relations.
Journal ArticleDOI
Feature Selection using Compact Discernibility Matrix-based Approach in Dynamic Incomplete Decision System
TL;DR: An efficient feature selection algorithm is provided to compute a new feature subset when an object set varies dynamically in incomplete decision systems, instead of retaining the discernibility matrix from scratch to find anew feature subset.
Book ChapterDOI
The Attribute Reductions Based on Indiscernibility and Discernibility Relations
Keyun Qin,Sihui Jing +1 more
TL;DR: Based on the relative indiscernibility relation and relative discernibility relation of decision systems, the notions of \(\lambda\) reduction and \(\mu \) reduction are proposed and the judgement theorems for \(\lambda \) consistent set and \(mu\) consistent set are provided.
Book ChapterDOI
Satisfiability judgement under incomplete information
TL;DR: This paper chooses descriptor languages for Pawlak information systems as specification languages in which to express conditions about objects and concepts and has a rough granular view on the problem of satisfiability of conditions by objects when information about the situation considered is incomplete.
Journal ArticleDOI
Indiscernibility and Discernibility Relations Attribute Reduction with Variable Precision
Xu Li,Jianguo Tang,Bin Hu,Yi Li +3 more
TL;DR: To enhance the fault tolerance of the model, concepts of both indiscernibility and discernibility relations involving uncertain or imprecise information are proposed in this paper.
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.