Fuzzified Choquet Integral with a Fuzzy-valued Integrand and its application on temperature prediction.
In this paper, the original Choquet integral is generalized as a Fuzzified Choquet Integral with a Fuzzy-valued Integrand (FCIFI), which supports a fuzzy-valued integrand and an integration result. The calculation of the FCIFI is established on the Choquet integral with an interval-valued integrand (CIII). The definitions, properties, and calculation algorithms of the CIII and the FCIFI are discussed and proposed in this paper. As a specific application scheme, we designed a CIII regression model for the regression problems involving interval-valued data. This CIII regression model has a self-learning ability through a double genetic algorithm. Finally, a daily temperature predictor based on the CIII regression model is discussed, where a series of experiments is implemented to validate the performance of the predictor by real weather records from the Hong Kong Observatory.
Yang
Rong
R
Department of Automatic Science, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen, China. ryang@szu.edu.cn
Wang
Zhenyuan
Z
Heng
Pheng-Ann
PA
Leung
Kwong-Sak
KS
D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D005544:Forecasting / Q000379:methods*; D017143:Fuzzy Logic; D016247:Information Storage and Retrieval / Q000379:methods*; D008962:Models, Theoretical; D010363:Pattern Recognition, Automated / Q000379:methods*; D013696:Temperature; D013817:Thermography / Q000379:methods*