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Authors: Yager, Ronald R. | Kelman, Antoine

Article Type: Research Article

Abstract: We present a general way to select an optimal alternative when there is some uncertainty about the state of the world. It is shown how this method can be applied whatever the uncertainty representation used to model the information about the state of nature: probability distribution, fuzzy set, possibility distribution, a Dempster–Shafer belief structure, or a fuzzy Dempster–Shafer structure. In this general formulation, we show the role of the OWA operators to model the decision maker's attitude.

DOI: 10.3233/IFS-1995-3407

Citation: Journal of Intelligent and Fuzzy Systems, vol. 3, no. 4, pp. 317-323, 1995

Authors: Yager, Ronald R. | Kelman, Antoine

Article Type: Research Article

Abstract: The Analytical Hierarchy Process (AHP) provides a comprehensive methodology for the solution of multicriteria decision problems which makes considerable use of comparison generated importances to help in the aggregation of lower order concepts in the formulation of higher order concepts. We introduce an extension of the Analytical Hierarchy Process using the Ordered Weighted Averaging (OWA) operators. This extension, which generalizes the aggregation process used in the AHP, allows more flexibility in the formulation of higher order concepts and provides the AHP an even greater facility for modeling human decision making. Using the OWA operators we are able to model situations …where the number of sub-criteria needed to satisfy a higher order concept can be expressed in terms of linguistic quantifiers. Show more

Citation: Journal of Intelligent and Fuzzy Systems, vol. 7, no. 4, pp. 401-417, 1999