可能性主成分分析(一般講演4)

抄録

In this paper, a fuzzy concept is employed to construct a principal component model which can deal with fuzziness, vagueness or possibility of a system, which is named a possibilistic principal component analysis. The principal component analysis is to analyze a possibility of fuzzy numbers. The possibilistic principal component analysis has three formulations according the portions which the possibilities included in fuzzy numbers are embodied : 1) an eigenvalue, 2) an eigenvector and 3) both eigenvalue and eigenvector. In this paper, we discuss about the first formulation 1) that an eigenvalue is employed to deal with fuzziness of data. The possibilistic principal component analysis is employed in this paper to analyze the features of information technology industry. In this analysis, the financial ratio is employed as indices. And we evaluate the possibility of a company activity in information technology industry.