A novel scoring method for stroke order based on choquet integral with fuzzy measure

The purpose of this research is to develop a novel algorithm based on Choquet integral with fuzzy measure for scoring stroke order of Chinese Character writing. The learning of stroke order is very important for a fixed stroke writing character system therefore this research based on the theory of "five indexing system of Chinese characters" and combine the features of strokes develops a computer-based stroke order assessment system to real-time examine learners' stroke orderand score their performances. Except traditional additive scoring model, an non-additive scoring approach based on Choquet integral with λ-measure and L -measure is proposed. A real data set with 65 samples is examined and experiment results show that the performance of scoring model based on Choquet integral with fuzzy measures outperform the performances of traditional scoring methods.

[1]  菅野 道夫,et al.  Theory of fuzzy integrals and its applications , 1975 .

[2]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[3]  Guey-Shya Chen,et al.  Computer-based Assessment for the Stroke Order of Chinese Characters Writing , 2007, Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007).

[4]  Hsiang-Chuan Liu,et al.  A Novel Fuzzy Measure and its Choquet Integral Regression Model , 2007, 2007 International Conference on Machine Learning and Cybernetics.

[5]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[6]  G. Klir,et al.  Fuzzy Measure Theory , 1993 .

[7]  G. Choquet Theory of capacities , 1954 .