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The Applications of Topology in Rough Set Theory
Author: WuZhiYuan
Tutor: WuGenXiu
School: Jiangxi Normal University
Course: Applied Mathematics
Keywords: Rough Set Minimum descriptor Topology coverage Rough membership function Fuzzy Rough Set Fuzzy topology
CLC: O189.13
Type: Master's thesis
Year: 2008
Downloads: 80
Quote: 0
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Abstract
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The rough set theory by Polish mathematician Z.pawlaw first proposed a mathematical theory for dealing with uncertainty knowledge can effectively analyze and deal with imprecise, uncertain and incomplete Incomplete Information , which found implicit knowledge , reveals the potential law . In recent years, it is in machine learning and knowledge discovery , data mining , decision support and analysis have a wide range of applications . Currently, the rough set theory has become one of the most active areas of research in Information Science . Combined on the basis of the minimum description meta topological covering approximation space unique nature of the topology reduction and topology - based coverage with minimum descriptor relations has been some related conclusions , and illustrate the conclusion . Will Pawlak rough set rough membership functions to be extended to cover the general rough set rough membership function . Leads generally covering rough set rough membership function based on a rough membership function based generalized rough set model , and gives its related properties . Finally, define fuzzy rough set approximation operators , given some related to the nature of the pair approximation operators and fuzzy topology knowledge .
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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Topology ( the situation in geometry ) > General topology > Fuzzy topology ( topology) is not clear
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