In this study, we propose a three-stage weighted sum method for identifying the group ranks of alternatives. In the first stage, a rank matrix, similar to the cross-efficiency matrix, is obtained by computing the individual rank position of each alternative based on importance weights. In the...

Consider a database of academic papers where each paper has a scientific worth and a group of authors. We propose a new way of measuring individual academic productivity by evaluating authorship, the extent of an author's contribution to each paper. Our method, CoScore, uses the varying levels...

We investigate the ways in which a linear order on a finite set A can be consistently extended to a linear order on a set Pk(A) of multisets on A of fixed cardinality k. We show that for card(A) = 3 all linear orders on Pk(A) are additive and classify them by means of Farey fractions. For...