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Quality Indices based on Choquet Integrals

  • The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. In this talk we want to transfer methods from decision making theory to defining quality indices. Even quality indices are often based on the aggregation of indices with respect to sub criteria, e.g. an index is obtained as arithmetic mean of sub indices. In our talk we focus on quality indices in supplier management. Obviously, supplier management is a central part of any quality management system. Especially in the context of outsourcing or lean production assessments of suppliers are of great importance. The final assessment of a supplier – maybe supplier A, supplier B and supplier C- is based on a weighted aggregation of such criteria like qualification level of employees, indices for product quality, financial indices, delivery based indices (e.g, adherence to delivery dates),The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. In this talk we want to transfer methods from decision making theory to defining quality indices. Even quality indices are often based on the aggregation of indices with respect to sub criteria, e.g. an index is obtained as arithmetic mean of sub indices. In our talk we focus on quality indices in supplier management. Obviously, supplier management is a central part of any quality management system. Especially in the context of outsourcing or lean production assessments of suppliers are of great importance. The final assessment of a supplier – maybe supplier A, supplier B and supplier C- is based on a weighted aggregation of such criteria like qualification level of employees, indices for product quality, financial indices, delivery based indices (e.g, adherence to delivery dates), etc. From a mathematical and logical point of view simple aggregation ignores effects like necessity of fulfillment of criteria and interaction among criteria (redundancy, synergy). Therefore, we present in this talk a general approach for aggregating sub criteria based on the so called Choquet integral, which is defined by a corresponding fuzzy measure modelling interaction effects. We introduce the Choquet integral as a general tool for dealing with multiple criteria decision making. After a theoretical exposition giving the fundamental basis with respect to fuzzy measures practical problems corresponding to the assessment of suppliers are addressed. In particular the problem of determining useful and suitable fuzzy measures is discussed. We close our talk with a case study from supplier management.show moreshow less

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Metadaten
Author: Konrad WälderGND, Olga WälderGND
DOI:https://doi.org/10.13140/2.1.3438.8803
Title of the source (English):ENBIS-14, Linz, Österreich 2014
Publisher:ENBIS
Document Type:Conference Proceeding
Language:English
Year of publication:2014
Tag:Quality index, Interaction, Supplier management, Choquet integral, Fuzzy measure
Faculty/Chair:Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Qualitätssicherung und quantitative Methoden
Institution name at the time of publication:Fakultät für Ingenieurwissenschaften und Informatik (eHL) / Prof. Qualitätssicherung und quantitative Methoden
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