Fuzzified Choquet Integral With a Fuzzy-Valued Integrand and Its Application on Temperature Prediction

Authors:
Rong Yang;Zhenyuan Wang;Pheng-Ann Heng;Kwong-Sak Leung
Affiliations:
Shenzhen Univ., Shenzhen;-;-;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2008

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Abstract

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.