Aggregation Operators

  • Jaroslav Ramík
  • Milan Vlach
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 41)


Aggregation refers to the process of combining values into a single value so that the final result of aggregation takes into account in a given form all the individual aggregated values. This chapter serves as a theoretical background for applications mainly in the area of decision analysis, decision making or decision support. In decision making, values to be aggregated are typically preference or satisfaction degrees. A preference degree, e.g., v(A, B) tells to what extent an alternative A is preferred to an alternative B. This way, however, will not be followed here. In this chapter the values are understood and interpreted as satisfaction degrees which express to what extent a given alternative is satisfactory with respect to a given criterion — a given real-valued function, or as a kind of distance to a prototype which may represent the ideal alternative for the decision maker. Depending on concrete applications, values to be aggregated can be also interpreted as confidence degrees in the fact that a given alternative is true, or as expert’s opinions, similarity degrees, etc., see, e.g., [29].


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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Jaroslav Ramík
    • 1
  • Milan Vlach
    • 2
    • 3
  1. 1.School of Business AdministrationSilesian UniversityKarvináCzech Republic
  2. 2.School of Information ScienceJapan Advanced Institute of Science and TechnologyIshikawaJapan
  3. 3.Faculty of Mathematics and PhysicsCharles UniversityPragueCzech Republic

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