Ordered weighted averaging

The Ordered Weighted Averaging operators, commonly called OWA operators, provide a parameterized class of mean type aggregation operators. Many notable mean operators such as the Max, arithmetic average, median and Min, are members of this class. They have been widely used in because of their ability to model linguistically expressed aggregation instructions.

References • Yager, R. R., "On ordered weighted averaging aggregation operators in multi-criteria decision making," IEEE Transactions on Systems, Man and Cybernetics 18, 183-190, 1988. • Yager, R. R. and Kacprzyk, J., The Ordered Weighted Averaging Operators: Theory and Applications, Kluwer: Norwell, MA, 1997. • Liu, X., "The solution equivalence of minimax disparity and minimum variance problems for OWA operators," International Journal of Approximate Reasoning 45, 68-81, 2007. • Majlender, P., "OWA operators with maximal Renya entropy," Fuzzy Sets and Systems 155, 340-360, 2005. • Torra, V. and Narukawa, Y., Modeling Decisions: Information Fusion and Aggregation Operators, Springer: Berlin, 2007.