Identifying the Mastery Concepts in Linear Algebra by Using FCM-CM Algorithm

Hsiang Chuan Liu; Yen Kuei Yu; Jeng Ming Yih; Chin Chun Chen

doi:10.4028/www.scientific.net/AMM.44-47.3897

Paper Titles

Rotor Speed Identification of PMSM on DTC System Based on PSO and CMAC Neural Network Algorithms
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Crack Pattern and Ductility of Connections Composed of CSSEUHSC Columns and RC Beams Subjected to Reversal Cycle Loads
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Prediction for Relative Dynamic Elastic Modulus of PVA-ECC under Freezing and Thawing Cycles
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Identifying the Mastery Concepts in Linear Algebra by Using FCM-CM Algorithm
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Adaboost Classification-Based Object Tracking Method for Sequence Images
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Finite Element Analysis of Ballastless Track Rail-Floating Slab’s Dynamic Characteristics
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WSN Image Watermarking Algorithm Based on Multi-Wavelet
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Active Subdivision Snake Scheme
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 44-47Identifying the Mastery Concepts in Linear Algebra...

Identifying the Mastery Concepts in Linear Algebra by Using FCM-CM Algorithm

Abstract:

Euclidean distance function based fuzzy clustering algorithms can only be used to detect spherical structural clusters. Gustafson-Kessel (GK) clustering algorithm and Gath-Geva (GG) clustering algorithm were developed to detect non-spherical structural clusters by employing Mahalanobis distance in objective function, however, both of them need to add some constrains for Mahalanobis distance. In this paper, the authors’ improved Fuzzy C-Means algorithm based on common Mahalanobis distance (FCM-CM) is used to identify the mastery concepts in linear algebra, for comparing the performances with other four partition algorithms; FCM-M, GG, GK, and FCM. The result shows that FCM-CM has better performance than others.

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Applied Mechanics and Materials (Volumes 44-47)

Pages:

3897-3901

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.44-47.3897

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Online since:

December 2010

Authors:

Hsiang Chuan Liu, Yen Kuei Yu, Jeng Ming Yih, Chin Chun Chen

Keywords:

FCM Algorithm, FCM-CM Algorithm, FCM-M Algorithm, GG Algorithm, GK Algorithm

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