User-friendly optimal improvement of an overall industrial performance based on a fuzzy Choquet integral aggregation

The design and use of performance measurement systems (PMS´s) for industrial improvement and control have received considerable attention in recent years. Indeed, industrial performances are now defined in terms of numerous and multi-level criteria to be synthesized for overall improvement purposes. Only a few quantitative models for PMS´s have been proposed in order to better monitor the continuous improvement cycle. Among them is the one proposed by the authors, based on a fuzzy Choquet integral aggregation operator. It allows expressing an overall performance according to the relative importance of criteria and interactions between elementary expressions. This article is a contribution to the decision-maker´s requirements for optimizing the improvement of an overall performance versus the allocated resources. It is proved that with a Choquet Integral aggregation, the resulting profile of elementary performances for optimal improvement can only take particular forms, which greatly aid the diagnosis and control tasks.