Nonlinear fuzzy multiregressions based on fuzzy Choquet integrals

Author

Ji, Ai-bing ; Qiu, Hong-Jie ; Ha, Ming-Hu

Author_Institution

Coll. of Med., Hebei Univ., Baoding

Volume

1

fYear

2008

fDate

12-15 July 2008

Firstpage

546

Lastpage

552

Abstract

In this paper, two kinds of fuzzy Choquet integral are first defined: one is the fuzzy Choquet integral of fuzzy-valued functions with respect to fuzzy measure, the another is the fuzzy Choquet integral of real-valued functions with respect to fuzzy-valued fuzzy measure. Using a nonadditive crisp/fuzzy set function to describe the interaction among attributes, two kinds of new nonlinear fuzzy multiregression are established based on fuzzy Choquet integrals. Such models are generalizations of the traditional fuzzy linear multiregression.

Keywords

fuzzy set theory; integral equations; regression analysis; fuzzy Choquet integrals; fuzzy-valued functions; nonlinear fuzzy multiregressions; real-valued functions; Cybernetics; Data mining; Educational institutions; Fuzzy sets; Linear programming; Linear regression; Machine learning; Parameter estimation; Regression analysis; Uncertainty; Fuzzy Choquet integral; Fuzzy-valued fuzzy measure; Non-additive measures; Nonlinear fuzzy multiregression;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2008 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-2095-7

Electronic_ISBN

978-1-4244-2096-4

Type

conf

DOI

10.1109/ICMLC.2008.4620465

Filename

4620465