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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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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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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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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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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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2017
The departing point of this study is a data table with certainty values associated to attribute values. These values are deeply rooted in possibility theory, they can be obtained with standard procedures and they are efficiently manageable in databases. Our aim is to study rough set approximations and reducts in this framework.
CIUCCI, DAVIDE ELIO, Forcati, I.
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The departing point of this study is a data table with certainty values associated to attribute values. These values are deeply rooted in possibility theory, they can be obtained with standard procedures and they are efficiently manageable in databases. Our aim is to study rough set approximations and reducts in this framework.
CIUCCI, DAVIDE ELIO, Forcati, I.
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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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A Rough Set Paradigm for Unifying Rough Set Theory and Fuzzy Set Theory
2007In 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
2013Fuzzy 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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