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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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Two operators in rough set theory

2007 46th IEEE Conference on Decision and Control, 2007
In order to understand the essence of certain increment operator and the uncertain decrement operator, we redefine these two operators. Furthermore, the certain increment operator and the uncertain decrement operator are developed by introducing multiple sets, and some properties based on the two multiple sets operators are analyzed.
Zhi Kong   +3 more
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An application of rough sets to graph theory

Information Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinkun Chen, Jinjin Li 0001
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On Generalizing Rough Set Theory

2007
This paper summarizes various formulations of the standard rough set theory. It demonstrates how those formulations can be adopted to develop different generalized rough set theories. The relationships between rough set theory and other theories are discussed.
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Rule analysis with rough sets theory

2006 IEEE International Conference on Granular Computing, 2006
Postprocessing is a significant step in the data analysis process which is often ignored or glossed over. Once we have a large set of generated rules, how can we elicit the sufficient and necessary rules? In this paper, we propose an alternative approach for decision rule learning with rough sets theory in the postprocessing step called 'ROSERULE ...
Puntip Pattaraintakorn   +2 more
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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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Sampling aspects of rough set theory

Computational Management Science, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Research on rough set theory extension and rough reasoning

2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583), 2005
Rough set theory is a new soft computing tool to deal with vagueness and uncertainty. It has attracted much attention of many researchers and practitioners all over the world, and has been applied to many fields successfully such as knowledge discovery, decision support, pattern recognition, machine learning, etc. Though the rough set theory is founded
Yunliang Jiang   +3 more
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Definability in Logic and Rough Set Theory

2008
Rough set theory is an effective tool for data mining. According to the theory, a concept is definable if it can be written as a Boolean combination of equivalence classes induced from classification attributes. On the other hand, definability in logic has been explicated by Beth's theorem.
Tuan-Fang Fan   +2 more
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AQ, Rough Sets, and Matroid Theory

1994
In order to acquire knowledge from database, there have been proposed several methods of inductive learning, such as ID3 family and AQ family. These methods are applied to discover meaningful knowledge from large database, and their usefulness is ensured.
Shusaku Tsumoto, Hiroshi Tanaka
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