Results 281 to 290 of about 58,797 (306)

Probabilistic Rough Sets Characterized by Fuzzy Sets

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
Theories of fuzzy sets and rough sets have emerged as two major mathematical approaches for managing uncertainty that arises from inexact, noisy, or incomplete information. They are generalizations of classical set theory for modelling vagueness and uncertainty.
Li-Li Wei, Wen-Xiu Zhang
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Contributions to the Theory of Rough Sets

Fundamenta Informaticae, 1999
We study properties of rough sets, that is, approximations to sets of records in a database or, more formally, to subsets of the universe of an information system. A rough set is a pair 〈L, U〉 such that L, U are definable in the information system and L ⊆ U.
V. Wiktor Marek, Miroslaw Truszczynski
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Rough mereology: A rough set paradigm for unifying rough set theory and fuzzy set theory

Fundam. Informaticae, 2003
Summary: In this work, we would like to discuss rough inclusions defined in Rough Mereology -- a paradigm for approximate reasoning introduced by \textit{L. Polkowski} and \textit{A. Skowron} [Int. J. Approx. Reasoning 15, 333-365 (1996; Zbl 0938.68860)] -- as a basis for common models for rough as well as fuzzy set theories. We would like to adhere to
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Covering Based Rough Sets and Relation Based Rough Sets

2014
Relation based rough sets and covering based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation based rough sets and the covering based rough sets in a particular framework of approximation operators, presents a new group of approximation operators obtained by combining coverings ...
Mauricio Restrepo, Jonatan Gómez
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Probabilistic Rough Sets

2005
The article introduces the basic ideas and investigates the probabilistic version of rough set theory. It relies on both classification knowledge and probabilistic knowledge in analysis of rules and attributes. One-way and two-way inter-set dependency measures are proposed and adopted to probabilistic rule evaluation. A probabilistic dependency measure
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ROUGH SETS AND NELSON ALGEBRAS

Fundamenta Informaticae, 1996
Any Rough Sets System induced by an Approximation Space can be given several logic-algebraic interpretations. In this paper a Rough Sets System is investigated as a finite semi-simple Nelson algebra whose structure is inherently described using the properties of the underlying Approximation Space.
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A Rough Set Paradigm for Unifying Rough Set Theory and Fuzzy Set Theory

2007
In this plenary address, we would like to discuss rough inclusions defined in Rough Mereology, a joint idea with A. Skowron, as a basis for common models for rough as well as fuzzy set theories. We would like to justify the point of view that tolerance (or, similarity) is the leading motif common to both theories and in this area paths between the two ...
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Rough Soft Sets in Fuzzy Setting

2013
Fuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. In the paper, we define the notion of a soft set in L-set theory, introduce several operators for L-soft set theory, and investigate the rough operators on the set of all L-soft sets induced by the rough operators on L X
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Attributes Reduction Using Fuzzy Rough Sets

IEEE Transactions on Fuzzy Systems, 2008
Eric C C Tsang, Degang Chen, D S Yeung
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Generalized fuzzy rough sets

Information Sciences, 2003
Wei-Zhi Wu, Ju-Sheng Mi, Wen-Xiu Zhang   +2 more
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