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Improved Mathematical Model of Spatial Information Processing Based on Fuzzy Technology
Author: NiXue
Tutor: LiXiaoQi
School: Northeastern University
Course: Probability Theory and Mathematical Statistics
Keywords: Spatial information processing fuzzy pattern recognition cluster analysis fuzzy neural network
CLC: O159
Type: Master's thesis
Year: 2009
Downloads: 4
Quote: 0
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Abstract
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Fuzzy technology as an uncertainty analysis of mathematical tools to solve things had a very wide range of applications in the times of information. For Spatial Information had defect such as large amount of computing, complex and so on. In the article, data extraction methods and fuzzy mathematical model of information processing were used to explore the data and information for new ways to extract, with a wide range of applications. In the paper, the main research work as follow:Part I:The subject of fuzzy information processing carried out a detailed overview on the meaning of discipline and direction of development.Part II:Introduced the theory of fuzzy mathematics and mathematical model of fuzzy neural network.Part III:To discuss a new model of fuzzy clustering and fuzzy recognition. Cluster identification of data in spatial information is the most primary issue. In this paper, the model of fuzzy clustering and fuzzy recognition was optimized to deduce the impact of subjective factors on selecting cluster center, and greatly improving the prediction accuracy of model.Part IV:Fuzzy information processing technology and fuzzy neural network for the organic combination was used to improve the model of T-S fuzzy neural network. For fuzzy neural networks had the shortcomings of slow convergence model, the overall poor approximation ability, and studied a number of fuzzy neural network structures. Sum up the advantages of network structure, a new model of fuzzy network had appeared which had a simple structure and algorithm clearly; it had the characteristics of fast convergence and strong approximation ability.
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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Fuzzy Mathematics
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