title: On mean type aggregation.
abstract: We introduce and define the concept of mean aggregation of a collection of n numbers. We point out that the lack of associativity of this operation compounds the problem of the extending mean of n numbers to n+1 numbers. The closely related concepts of self identity and the centering property are introduced as one imperative for extending mean aggregation operators. The problem of weighted mean aggregation is studied. A new concept of prioritized mean aggregation is then introduced. We next show that the technique of selecting an element based upon the performance of a random experiment can be considered as a mean aggregation operation.
authors.affiliation: Machine Intelligence Inst., Iona Coll., New Rochelle, NY.
authors.forename: R R
authors.initials: RR
authors.lastname: Yager