Fuzzy Measure Theory
Power-transformed-measure and its Choquet integral regression model
ACS'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Applied Computer Science - Volume 7
Stroke order computer-based assessment with fuzzy measure scoring
WSEAS Transactions on Information Science and Applications
Applying a complexity-based Choquet integral to evaluate students' performance
Expert Systems with Applications: An International Journal
Theory and application of the composed fuzzy measure of L-measure and delta-measures
WSEAS Transactions on Systems and Control
Contaminants analysis in aircraft engine oil and its interpretation for the overhaul of the engine
WSEAS Transactions on Information Science and Applications
Composed fuzzy measure of maximized L-measure and delta-measure
WSEAS Transactions on Information Science and Applications
A novel fuzzy measure and its extensional signed fuzzy measure
ISTASC'10 Proceedings of the 10th WSEAS international conference on Systems theory and scientific computation
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The well known fuzzy measures, Lambda-measure and P-measure, have only one formulaic solution, the former is not a closed form, and the latter is not sensitive enough. In this paper, a novel fuzzy measure, called Delta-measure, is proposed. This new measure proves to be a multivalent fuzzy measure which provides infinitely many solutions to closed form, and it can be considered as an extension of the above two measures. In other words, the above two fuzzy measures can be treated as the special cases of Delta-measure. For evaluating the Choquet integral regression models with our proposed fuzzy measure and other different ones, a real data experiment by using a 5-fold cross-validation mean square error (MSE) is conducted. The performances of Choquet integral regression models with fuzzy measure based on Delta-measure, Lambda-measure and P-measure, respectively, a ridge regression model and a multiple linear regression model are compared. Experimental result shows that the Choquet integral regression models with respect to Delta-measure based on Gamma-support outperforms other forecasting models.