In the last twenty years many features of Saaty's Analytical Hierarchy Process (AHP) have been criticised, especially the additive hierarchical composition of conventional AHP, which leads to the possibility of occurrence of the Rank Reversal phenomenon (adding an irrelevant alternative may cause a reversal in the ranking at the top). In the context of a variable number of alternatives this ran...

Multicriteria decision aid consists in helping decision-makers to compare (rank, choose, sort, etc.) different alternatives which are evaluated on conflicting criteria. A well-known family of methods is the PROMETHEE family. It has been highlighted that these may suffer from rank reversal occurrences. However, Mareschal et al. and later Verly De Smet have pointed out could only occur between ha...

We present a general theory of coherent isotropic averaging in nuclear magnetic resonance ~NMR!. In a zero external field, magnetic-field pulses can selectively average the internal spin Hamiltonians, while preserving the intrinsic invariance of the spectrum with respect to the sample orientation. The theory predicts the limits of the scaling factors for tensor interactions of different ranks. ...

BACKGROUND Estimating the value of medical treatments to patients is an essential part of healthcare decision making, but is mostly done implicitly and without consulting patients. Multi criteria decision analysis (MCDA) has been proposed for the valuation task, while stated preference studies are increasingly used to measure patient preferences. In this study we propose a methodology for using...

This paper deals with addition besides deletion of indifferent or wash criteria on which the alternatives have equal performance in the Analytic Hierarchy Process (AHP) against the misguided argument as shortcoming of the AHP. In such case, it is noted that careful attention and a correct approach are required in order not to be led towards a wrong decision with rank reversal when composing pri...