A Quantified Industrial Performance Measurement System Based on a Choquet Fuzzy Integral

This study deals with the aggregation of performance expressions in a manufacturing context, Le. the mechanism which allows the computation of a global performance knowing the elementary ones. In this kind of aggregation the elementary performances to be combined are, on the one hand, information, often of a heterogeneous nature (cost, quality, delay ...), on the other hand, they are associated to diversified and numerous objectives which interact in different ways. In this context, the conventional approaches based on the Weighted Arithmetic Mean and the Analytic Hierarchy Process show their limitations. Thus, we propose an approach based on the fuzzy Choquet integral and on a MACBETH inspired method. This approach satisfies measurement theory requirements thanks to performance expressions defined according interval scales. The proposed procedure for quantifying performance measurement is illustrated on a case study submitted by a company that manufactures bathrooms and kitchens.