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The Representation of Uncertainty in Operational Research: Considerations on the Use of Possibility, Probability and Fuzzy Numbers

Matteo Brunelli, Mario Fedrizzi, The Representation of Uncertainty in Operational Research: Considerations on the Use of Possibility, Probability and Fuzzy Numbers. In: Mikael Collan (Ed.), Proceedings of the 2nd International Conference on Applied Operational Research, 24-33, Tadbir Institute for Operational Research, Systems Design and Financial Services, 2010.

Abstract:

The judgment of the reliability, credibility, or adequacy of the available information plays a critical role when one or more individuals have to make decisions in the presence of uncertainty. In decision making activities, most of the uncertainty comes from subjective judgments and is commonly transmitted through statements in natural language involving vague predicates and therefore linguistic uncertainty is generated, i.e., the uncertainty about a precisely defined quantity that is produced by linguistic information.
In this paper we discuss some issues in the application of possibility and probability theory in the domain of operational research. In doing so, we emphasize how, sometimes, justifications for the use of fuzzy numbers in the representation of uncertainty, lack formality or empirical background

BibTeX entry:

@INPROCEEDINGS{inpBrFe10a,
  title = {The Representation of Uncertainty in Operational Research: Considerations on the Use of Possibility, Probability and Fuzzy Numbers},
  booktitle = {Proceedings of the 2nd International Conference on Applied Operational Research},
  author = {Brunelli, Matteo and Fedrizzi, Mario},
  editor = {Collan, Mikael},
  publisher = {Tadbir Institute for Operational Research, Systems Design and Financial Services},
  pages = {24-33},
  year = {2010},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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