Results 281 to 290 of about 156,977 (313)
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2007
This paper is devoted to the discussion of extended covering rough set models. Based on the notion of neighborhood, five pairs of dual covering approximation operators were defined with their properties being discussed. The relationships among these operators were investigated.
Keyun Qin, Yan Gao, Zheng Pei 0001
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This paper is devoted to the discussion of extended covering rough set models. Based on the notion of neighborhood, five pairs of dual covering approximation operators were defined with their properties being discussed. The relationships among these operators were investigated.
Keyun Qin, Yan Gao, Zheng Pei 0001
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2005
This article presents some general remarks on rough sets and their place in general picture of research on vagueness and uncertainty – concepts of utmost interest, for many years, for philosophers, mathematicians, logicians and recently also for computer scientists and engineers particularly those working in such areas as AI, computational intelligence,
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This article presents some general remarks on rough sets and their place in general picture of research on vagueness and uncertainty – concepts of utmost interest, for many years, for philosophers, mathematicians, logicians and recently also for computer scientists and engineers particularly those working in such areas as AI, computational intelligence,
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2014
We prove the recent result of Liu and Zhu [1] and discuss some consequences of that and related facts for the development of rough set theory.
Victor W. Marek, Andrzej Skowron
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We prove the recent result of Liu and Zhu [1] and discuss some consequences of that and related facts for the development of rough set theory.
Victor W. Marek, Andrzej Skowron
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Rough Sets in Partially Ordered Sets
2010 IEEE International Conference on Granular Computing, 2010It is well-known to us that the Pawlak’s rough set theory, an effective tool to deal with uncertainty and granularity in information systems, is based on equivalence relation. However, in some situations, those conditions of equivalence relation are hardly met.
Kai Li, William Zhu 0001, Jianguo Tang
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A Semantical Approach to Rough Sets and Dominance-Based Rough Sets
2016There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited.
Lynn D'eer, Chris Cornelis, Yiyu Yao
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Probabilistic Rough Sets Characterized by Fuzzy Sets
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004Theories 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, 1999We 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, 2003Summary: 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
2014Relation 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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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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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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