Rank-ordering of individuals or objects on multiple criteria has many important practical applications. A reasonably representative composite rank ordering of multi-attribute objects/individuals or multi-dimensional points is often obtained by the Principal Component Analysis, although much...

In this paper we introduce a quasi-concave nonlinear multiple attribute utility function (MAUF) to rank multiple criteria alternatives. We demonstrate that the quasi-concave MAUF (QCMAUF) is more general and flexible than additive, multiplicative, and multilinear MAUFs. New definitions of...

To create their rankings, university-ranking agencies usually combine multiple performance measures into a composite index. However, both rankings and index scores are sensitive to the weights assigned to performance measures. This paper uses a stochastic dominance efficiency methodology to...

The maximal and minimal ranks of the quadratic matrix expression – ( – )( – ) with respect to and are presented. As applications, the maximal and minimal ranks of the Schur complement with respect to a reflexive generalized inverse of matrix and their various consequences are also considered