Fuzzy Principal Component Analysis and Its Application

抄録

In this paper, a fuzzy concept is employed to construct a principal component model which analyzes samples included in a fuzzy group. It is named a fuzzy principal component analysis. The fuzzy principal component analysis is to find central and influential components out of data about samples under the consideration of the fuzzy group. In other words, the fuzzy principal component analysis intends to summarize the data defined by many variants of various features into few principal components, so that the meaning of the data is lost as less as possible and that the fuzzy group is taken into accunt in the analysis.The fuzzy principal component analysis enables us to analyze the characteristics of each sample in consideration of vagueness of a group in which samples are included. Therefore, the fuzzy principal component analysis provides us with realistic evaluation. The fuzzy principal component analysis is employed to analyze the features of information technology industry. We formulate a fuzzy set of companies of information technology by the ratio of the sales volume of information technology to the total sales volume. In terms of the fuzzy set of information technology industry we can understand the financial characteristics of companies stressing on their activities relating to the information technology through the fuzzy principal component analysis.