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Induced aggregation operators in decision making with the Dempster-Shafer belief structure

Author

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  • Jose M. Merigo Lindahl
  • Montserrat Casanovas Ramon

    (Universitat de Barcelona)

Abstract

We study the induced aggregation operators. The analysis begins with a revision of some basic concepts such as the induced ordered weighted averaging (IOWA) operator and the induced ordered weighted geometric (IOWG) operator. We then analyze the problem of decision making with Dempster-Shafer theory of evidence. We suggest the use of induced aggregation operators in decision making with Dempster-Shafer theory. We focus on the aggregation step and examine some of its main properties, including the distinction between descending and ascending orders and different families of induced operators. Finally, we present an illustrative example in which the results obtained using different types of aggregation operators can be seen.

Suggested Citation

  • Jose M. Merigo Lindahl & Montserrat Casanovas Ramon, 2007. "Induced aggregation operators in decision making with the Dempster-Shafer belief structure," Working Papers in Economics 184, Universitat de Barcelona. Espai de Recerca en Economia.
    • Handle: RePEc:bar:bedcje:2007184
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    Cited by:

    1. Giuseppe De Marco & Jacqueline Morgan, 2014. "On Ordered Weighted Averaging Social Optima," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 623-635, February.

    More about this item

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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