Selecting a set of simultaneous courses of action when imprecision is involved

  • Authors:
  • A. De Korvin;R. Kleyle

  • Affiliations:
  • Department of Applied Mathematical Sciences University of Houston-Downtown Houston, TX 77002, U.S.A.;Department of Mathematical Sciences Indiana University-Purdue University at Indianapolis 1125 E. 38th St., Indianapolis, IN 46205-2820, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1992

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Abstract

In the present work, we consider the situation where a number of experts report their opinion to a decision maker on how viable some sets of courses of actions are. The courses of action belonging to the same set are to be performed simultaneously. In addition, the reporting is imprecise. That is, the experts who provide information and decision support services report the strength of their opinion relative to some set, rather than explicitly specifying which set of courses of action should be taken. On the other hand, the decision maker must make a one-shot decision; i.e., once a course of action has been performed, it is final. The decision maker, in addition, may have his own opinions and prejudices which, in this model, are considered as additional experts. Based on information that is received sequentially, the decision maker proceeds to eliminate alternate actions until the final decision remains. We use a belief structure over fuzzy sets to describe the model.