Possibility data analysis with rough sets concept

This paper is dealing with the upper and lower approximation models for representing the given phenomenon in a fuzzy environment as data analysis. The upper and lower approximation models can be derived from the given data with the possibility and necessity concepts, respectively. Thus, the given phenomenon can be analyzed as two approximation models which represent the upper and lower analyses for the given data. The modalities of the upper and lower models have been illustrated in regression analysis and also in the identification methods of possibility distributions. The comparison of the concepts of possibility data analysis and rough sets is shown clearly. A measure similar to the accuracy measure of rough sets is used to clarify the difference between the data structure and the assumed model.