Journal ArticleDOI
Generalized fuzzy rough sets determined by a triangular norm
TLDR
A general framework for the study of T-fuzzy rough approximation operators in which both the constructive and axiomatic approaches are used, and a notion of fuzziness is introduced.About:
This article is published in Information Sciences.The article was published on 2008-08-01. It has received 182 citations till now. The article focuses on the topics: Type-2 fuzzy sets and systems & Fuzzy set operations.read more
Citations
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Journal ArticleDOI
Feature selection in mixed data
TL;DR: It is proved that the newly-defined entropy meets the common requirement of monotonicity and can equivalently characterize the existing attribute reductions in the fuzzy rough set theory.
Journal ArticleDOI
Attribute selection with fuzzy decision reducts
TL;DR: This paper introduces the concept of fuzzy decision reducts, dependent on an increasing attribute subset measure, and presents a generalization of the classical rough set framework for data-based attribute selection and reduction using fuzzy tolerance relations.
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A Fitting Model for Feature Selection With Fuzzy Rough Sets
TL;DR: A parameterized fuzzy relation is introduced to characterize the fuzzy information granules, using which the fuzzy lower and upper approximations of a decision are reconstructed and a new fuzzy rough set model is introduced.
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Feature subset selection based on fuzzy neighborhood rough sets
TL;DR: This paper constructs a novel rough set model for feature subset selection, and defines the dependency between fuzzy decision and condition attributes and employ the dependency to evaluate the significance of a candidate feature, using which a greedyfeature subset selection algorithm is designed.
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Two fuzzy covering rough set models and their generalizations over fuzzy lattices
TL;DR: By introducing the new concepts of fuzzy -covering and fuzzy -neighborhood, two new types of fuzzy covering rough set models are defined which can be regarded as bridges linking coveringrough set theory and fuzzy rough set theory.
References
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Book
The Mathematical Theory of Communication
TL;DR: The Mathematical Theory of Communication (MTOC) as discussed by the authors was originally published as a paper on communication theory more than fifty years ago and has since gone through four hardcover and sixteen paperback printings.
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Rough fuzzy sets and fuzzy rough sets
Didier Dubois,Henri Prade +1 more
TL;DR: It is argued that both notions of a rough set and a fuzzy set aim to different purposes, and it is more natural to try to combine the two models of uncertainty (vagueness and coarseness) rather than to have them compete on the same problems.
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Variable precision rough set model
TL;DR: A generalized model of rough sets called variable precision model (VP-model), aimed at modelling classification problems involving uncertain or imprecise information, is presented and the main concepts are introduced formally and illustrated with simple examples.
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.