NONLINEAR FUZZY MULTIREGRESSIONS BASED ON FUZZY CHOQUET INTEGRALS

摘要：

In this paper, two kinds of fuzzy Choquct 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.

关键词： Non-additive measures Fuzzy-valued fuzzy measure Fuzzy Choquet integral Nonlinear fuzzy multiregression

作者: AI-BING JI HONG-JIE QIU MING-HU HA

作者单位: College of Medicine, Hebei University, Baoding 071000, Hebei, Peoples Republic of China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 546-552

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）