The Weighted Aggregation of Ranked Objects by the Arbitrary Totality of Other Objects

Abstract

The task of distribution of the ranked objects by the smaller number of other objects is set. The first objects are named objects of the first kind, the second objects are the objects of the second kind. The rating of the totality of objects of the first kind, included on the attribute of belonging in the object of the second kind, is suggested to be calculated through the procedure of the weighted aggregation which represents a product of number of the above mentioned objects of the first kind and the average weight coefficient calculated through the average rank (rating) of the totality of the objects of the first kind. An example of such a task is the distribution of ranked universities by the world countries according to one of the global world ratings. The task is extended to the calculation of the integral rank (rating) for an arbitrary number of rankings of different objects of the first kind, distributed on the given number of objects of the second kind.

Keywords

• weighted aggregation
• ranked objects
• ranking
• rating
• rank
• weight coefficient
• multidimensional objects