Pattern classification using ordinal relationships among evaluation values by set function representation

Abstract

A pattern is set by the relative size of the input values, and the pattern is represented by sets of set function representations. A set function representation is obtained from a set of input values, a pattern is determined by whether each set of values is positive or not, and the function value of the set is the degree of the pattern. As an example, the conditions for the pattern of an egogram (TEG II) are represented by a set function representation. The rules of each pattern are expressed in terms of fuzzy measures. The Choquet integral with respect to a set functionis defined as the sum of the product of the set function and the set function obtained from the input values. This computation allows us to determine the degree of fit to the rule.