Objective Factors and Their Meanings

Abstract

In this article, we consider the method of constructing factors and a new method for calculating their meanings. The proposed approach to the theory of factor analysis is closely related to commutative constructions, such as joint subsystems of inequalities, and also with mathematical linguistics. The committee is considered as a collective decision. The factor is a latent source of the dynamics of interdependent characteristics of objects and phenomena. In one of the popular methods of factor analysis, the structure of covariance and correlation matrices is studied. In the approach described below, the semantic neighborhoods of the features are used. Also in this article are the elements of mathematical statistics and pattern recognition. The problem of names and values of factors as functions of names and values of attributes is considered.