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Vague Set Theory in association rules and cluster analysis applied research

Author: ShenXiaoHu
Tutor: YuJianKun
School: Yunnan University of Finance
Course: Applied Computer Technology
Keywords: Vague Sets VagueApriori algorithm Vague direct clustering method
CLC: TP18
Type: Master's thesis
Year: 2011
Downloads: 48
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Abstract

To deal with fuzzy information, 1965 Zadeh proposed Fuzzy set theory, Fuzzy set theory has been after the continuous development and improvement, and successfully applied to data mining, and the corresponding data based on Fuzzy Set Theory mining algorithms more research and applied practical engineering the project. However, in subsequent studies scholars have pointed out that a single value of membership is also inadequate, in order to be able to deal with such Fuzzy sets can not be said that the fuzziness of information and questions, in 1993 Taiwan scholars Gau and Buehrer presented Vague Set Theory, Vague sets can be regarded as the promotion of Fuzzy Sets, Fuzzy sets are a special case of Vague sets, it has a stronger expression data ambiguity and imprecision capabilities. Thesis based on Vague sets algorithm of association rules, the definition of association rules based on Vague sets, defines a new set based on Vague Vague Vague support and confidence. In the absence of the Boolean data mining association rules, Vague sets to handle data with missing parts of information so that data mining association rules more in line with actual requirements, and gives a novel based on Vague sets Boolean association rules mining algorithm VagueApriori algorithm, which combines traditional Boolean association rule mining model to extend the scope to solve the problem, you can deal with missing data under the Boolean association rule mining, but also to deal with traditional Boolean association rule mining. Finally, the VagueApriori algorithms implemented using C # programming language and the core part of the algorithm with user interaction and performance of the algorithm for a simple experimental analysis, and finally through an instance of the algorithm for VagueApriori inspection and authentication. In addition, the paper by studying Fuzzy clustering method directly on the set, which will Fuzzy clustering method on the set of direct marketing to Vague sets, give some to establish similar relationships Vague methods, namely M using Matlab programming language these calculations process, given several tectonic Vague set similarity matrix method based on the Fuzzy Sets netting and maximum tree method is introduced into Vague sets are defined Vague diagram and given based on Vague Vague sets Direct clustering method: Vague Vague netting France and the largest tree method, and then the Vague set directly on the clustering method and Vague Vague equivalence clustering method were compared. Finally, an example of comparative analysis verified Vague Vague set directly on the clustering method than Vague Vague equivalence on the set of clustering method more simple, does not cause distortion of the original information than Vague transitive closure method is more effective classification finer granularity.

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