Application of Choquet integral in solving multi-attribute decision making problems

摘要

Aggregation is one of the imperative phases in solving a multi-attribute decision making (MADM) problems where the performance values of each choice will be composed into single score. Based on these final scores, the decision maker (DM) will make the decision by selecting, ranking or sorting the choices. The major issue in aggregation phase is most of the DMs are being ignorant or insensitive to the aspect of interaction between evaluation criteria while aggregating the performance values. Therefore, this paper intended to offer an appraisal on definition and several properties of aggregation operator, types of aggregation operator, and finally suggests Choquet integral operator and its associated fuzzy measure as the most appropriate tool in solving MADM problems. The suggested operator considers the interaction among evaluation criteria during aggregation. A simple numerical example is presented to emphasize the advantage of Choquet integral. However, the complexity of applying Choquet integral is discussed as well to provide some indications for future study.