Fuzzy Regression Models for Subjective Evaluation Data

Abstract

A fuzzy linear regression method is proposed for the data in which plural different output data exist for the same input. Examples of such a situation include some evaluators make their judgment of articles of trade, environment, or students. This paper proposes a technique to map the relations between locations of evaluators in the data set, preserving them in the model parameter space as much as possible. This approach is based on Tanaka's identification method and provides a quite easy way without using the linear programming, and gives a good perspective of the data.