EXPONENTIAL POSSIBILITY REGRESSION-ANALYSIS

This paper aims at giving the application of possibility theory based on exponential distributions to regression analysis. A general outline of the possibility theory is illustrated by exponential possibility distributions. It is shown that possibility analysis is well corresponding to statistical analysis. Using exponential possibility analysis, we propose possibility regression analysis which is suitable for rough phenomena arising from social and economic systems. The spread of the given data can be directly transferred into the exponential possibility distribution of coefficients in the regression model by the proposed method.