Sufficient conditions for a Heuristic Rating Estimation Method application
Authors: Jacek Szybowski, Konrad Kułakowski, Jiri Mazurek
Organizations: AGH University of Science and Technology, Faculty of Applied Mathematics, Krakow, Poland · AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, Krakow, Poland · Silesian University in Opava, Department of Informatics and Mathematics, School of Business Administration in Karvina, Czech Republic
A series of papers has introduced the Heuristic Rating Estimation method, which evaluates a set of alternatives based on pairwise comparisons and the weights of reference alternatives. We formulate the conditions under which the HRE method can be applied correctly. The research considers both arithmetic and geometric algorithms for complete and incomplete pairwise comparison methods. The illustrative examples show that the estimations of inconsistency in the arithmetic variant are optimal.