The Aggregation of Industrial Performance Information by the Choquet Fuzzy Integral

Abstract

This study deals with the aggregation of industrial performance information, i.e. with the mechanism which allows the computation of a global performance knowing the partial ones. The performance information is aimed at controlling the production activity, by indicating how the real objective is reached. The characteristics of this kind of aggregation is that the partial performances to be aggregated are, on the one hand, often information of heterogeneous nature (dimension, format). On the other hand, they are associated to diversified and numerous objectives which interacts in different ways (redundant, complementary,...). In this sense, the fuzzy subset theory provides tools to deal with: the heterogeneity of the entities involved, the commensurability of the partial performances expressed in the interval [0,1], and the different behaviors of the aggregation operation (compromise effect, optimistic or pessimistic effect,...). Among all the fuzzy aggregation operators, we consider here, as an illustration, one use of the Choquet fuzzy integral family for modeling the different interactions between the objectives and aggregating their associated performances.