1995 Volume 7 Issue 2 Pages 291-310
A human's subjective evaluation of some given objects, such as real things or abstract concepts, can be viewed as a regression process on the class of clustered concepts formed on the basis of knowledge and context. As the first step of this approach, we restrict our concerns not to how to understand, manipulate and represent the concepts formed on the basis of his/her knowledge and context, but to how to cluster the given attributes into macro attributes and then regress on the clustered macto attributes. In this paper, we propose a clusterwise regression-type model for the subjective evaluation process using non-monotonic fuzzy measures and the Croquet integral. A heuristic algorithm using AIC (Akaike's Information Criterion) and properties of coveringe os inclusion and exclusion are devised to identify an optimal model. We apply the model to some data sets obtained from real sensory evaluation. The experimental results of sensory evaluation of this data support the approach that subjective evaluation can be viewed as a process of regression on a hierachical structure formed on the basis of knowledge and context.