On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Essentials of fuzzy modeling and control
Essentials of fuzzy modeling and control
Using classification as an aggregation tool in MCDM
Fuzzy Sets and Systems - Special issue on soft decision analysis
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
On efficient WOWA optimization for decision support under risk
International Journal of Approximate Reasoning
A WOWA-based Aggregation Technique on Trust Values Connected to Metadata
Electronic Notes in Theoretical Computer Science (ENTCS)
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Soft Computing in Decision Modeling; Guest Editors: Vicenc Torra, Yasuo Narukawa
On optimization of the importance weighted OWA aggregation of multiple criteria
ICCSA'07 Proceedings of the 2007 international conference on Computational science and its applications - Volume Part I
Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice
Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice
On minimizing ordered weighted regrets in multiobjective Markov decision processes
ADT'11 Proceedings of the Second international conference on Algorithmic decision theory
Some properties of the weighted OWA operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Including importances in OWA aggregations using fuzzy systems modeling
IEEE Transactions on Fuzzy Systems
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The problem of aggregating multiple criteria to form an overall measure is of considerable importance in many disciplines. The ordered weighted averaging (OWA) aggregation, introduced by Yager, uses weights assigned to the ordered values rather than to the specific criteria. This allows one to model various aggregated preferences, preserving simultaneously the impartiality (neutrality) with respect to the individual criteria. However, importance weighted averaging is a central task in multicriteria decision problems of many kinds. It can be achieved with the Weighted OWA (WOWA) aggregation, introduced by Torra, covering both the weighted means and the OWA averages as special cases. In this paper we analyze the monotonicity properties of the WOWA aggregation with respect to changes of importance weights. In particular, we demonstrate that a rank reversal phenomenon may occur in the sense that increasing the importance weight for a given criterion may enforce the opposite WOWA ranking than that imposed by the criterion values.