Journal
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY
Volume 17, Issue 2, Pages 335-351Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/20294913.2011.584961
Keywords
OWA operator; probabilities; probabilistic OWA operator; uncertainty; interval numbers; multi-person decision-making; policy management
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We present the uncertain probabilistic ordered weighted averaging (UPOWA) operator. It is an aggregation operator that uses probabilities and OWA operators in the same formulation considering the degree of importance of each concept in the analysis. Moreover, it also uses uncertain information assessed with interval numbers in the aggregation process. The main advantage of this aggregation operator is that it is able to use the attitudinal character of the decision maker and the available probabilistic information in an environment where the information is very imprecise and can be assessed with interval numbers. We study some of its main properties and particular cases such as the uncertain probabilistic aggregation (UPA) and the uncertain OWA (UOWA) operator. We also develop an application of the new approach in a multi-person decision-making problem in political management regarding the selection of monetary policies. Thus, we obtain the multi-person UPOWA (MP-UPOWA) operator. We see that this model gives more complete information of the decision problem because it is able to deal with decision making problems under uncertainty and under risk in the same formulation.
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