Generalized OWA aggregation operators. (English) Zbl 1057.90032

Yager, Ronald R.

Fuzzy Optim. Decis. Mak. 3, No. 1, 93-107 (2004).

Summary: We extend the Ordered Weighted Averaging (OWA) operator to a provide a new class of operators called the generalized OWA operators. These operators add to the OWA operator an additional parameter controlling the power to which the argument values are raised. We look at some special cases of these operators. One important case corresponds to the generalized mean and another special case is the ordered weighted geometric operator.

MSC:

90B50

Management decision making, including multiple objectives

Keywords:

Aggregation; generalized mean; fuzzy sets; OWA operators