A Study on Aggregation Methods of Multiattribute Data and its Interpretations

Abstract

This study aims to discuss and examine possibility of aggregation methods based on tools in cooperative game and evidence theory in a group decision making. In this paper, multiattribute data represented by evaluation vectors are extended toward a high dimensional space through a transformation introduced by Takahagi, a set function-representation of vectors. Some methods (methods for combination of evidence) in evidence theory are applied to aggregate evaluation data represented/extended as set functions. Some methods (solutions of game) in cooperative game theory are used as dimension reduction methods to represent set function form evaluation data as evaluation vectors.