Monitoring the improvement of an overall industrial performance based on a Choquet integral aggregation☆

Abstract

The design and use of performance measurement systems (PMSs) have received considerable attention in recent years. Indeed, industrial performances are now defined in terms of numerous criteria to be synthesized for overall improvement purposes. The analysis of the literature leads to the conclusion that most of the proposed approaches deal with a qualitative approach of this multi-criteria issue. But only a few quantitative models for PMSs have been proposed in order to better monitor the continuous improvement cycle. Among them, the one proposed by the authors, based on a Choquet integral aggregation operator, allows to express an overall performance according to subordination and transverse interactions between the criteria involved. But, as this model is nonlinear, it is useful to define pieces of information aimed at aiding the manager to improve the performance situation. Thus, this article is a contribution to the managers' requirements for optimizing the improvement of the overall performance versus the allocated resources. In this view, indexes of efficiency and predictive improvement are proposed. The approach is applied to a case study submitted by a company manufacturing kitchen and bathroom furniture which wants to upgrade the monitoring of its "environment and quality improvement plan".

Modelling group processes and effort estimation in project management using the Choquet integral: An MCDM approach

“…The 2-additive case is the simplest non-linear capacity model and it has been studied and applied in various contexts, see for instance [41,42,3,9,4,43,44]. In the 2-additive case, the decomposition formula (7) takes the form…”

“…The 2-additive case in particular (see Miranda, Grabisch, and Gil, [46]; Mayag, Grabisch, and Labreuche, [43,44]) is a good trade-off between the range of the model and its complexity (only n(n+1)/2 real coefficients are required to define a 2-additive capacity). The Choquet integral with respect to a 2-additive capacity is an interesting and effective modelling tool, see for instance Marques Pereira and Bortot [41,42], Berrah and Clivillé [3], Clivillé, Berrah, and Maurice [9], Berrah, Maurice, and Montmain [4]. In this paper we propose an aggregation model based on Choquet integration with respect to a 2-additive capacity.…”

A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

“…Let us cite a few (among many others) new applications of the Choquet integral that have been carried out during the last 10 years: policy capturing in strategic decision making (Liginlal and Ow 2005), analysis of root dispersal where interactions model the competition among wood species in forests (Näther and Wälder 2007), computation of the number of citations (Torra and Narukawa 2007), clinical diagnosis (Saito et al 2007), detection of line arrows in technical drawings (Wendling and Tabbone 2003), monitoring of the improvement of an overall industrial performance (Berrah et al 2008), selection of groups of genes with high classifying power in gene expression data analysis (Fragnelli and Moretti 2007), evaluation of discomfort in sitting position when driving a car , to cite a few. All details about these applications can be found in the referenced papers.…”

A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

“…Let us cite a few (among many others) new applications of the Choquet integral that have been carried out during the last ten years: policy capturing in strategic decision making (Liginlal and Ow 2005), analysis of root dispersal where interactions model the competition among wood species in forests (Näther and Wälder 2007), computation of the number of citations (Torra and Narukawa 2009), clinical diagnosis (Saito et al 2007), detection of line arrows in technical drawings (Wendling and Tabbone 2003), monitoring of the improvement of an overall industrial performance (Berrah et al 2008), selection of groups of genes with high classifying power in gene expression data analysis (Fragnelli and Moretti 2008), evaluation of discomfort in sitting position when driving a car , to cite a few. All details about these applications can be found in the referenced papers.…”