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OWA Operators in Decision Making with Uncertainty and Nonnumeric Payoffs

In: The Ordered Weighted Averaging Operators

Author

Listed:
  • Ronald R. Yager

    (Iona College, Machine Intelligence Institute)

  • Maria Teresa Lamata

    (Departamento de Ciencias de la Computación e I.A)

Abstract

We consider the problem of decision making in environments in which there exists some uncertainty about the state of nature. A general approach to the representation of uncertainty using the Dempster-Shafer belief structure is presented. A comprehensive methodology for evaluating the worth of each of the alternatives using the OWA operators to model the decision makers attitude is described. We then consider the situation in which the payoffs are nonnumeric values. Here we consider only the existence of a linear ordering on the allowable values. It is pointed out that in these nonnumeric environments a need arises for an operation to replace the weighted average. We show that in the case of only a linear ordering on the payoffs we can use a weighted median operation to replace the weighted average.

Suggested Citation

  • Ronald R. Yager & Maria Teresa Lamata, 1997. "OWA Operators in Decision Making with Uncertainty and Nonnumeric Payoffs," Springer Books, in: Ronald R. Yager & Janusz Kacprzyk (ed.), The Ordered Weighted Averaging Operators, pages 123-138, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-6123-1_11
    DOI: 10.1007/978-1-4615-6123-1_11
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