tailieunhanh - Applying coefficients of preference in ranking (CPR)

In this paper, a coefficient of preference is presented as an effort to rank object more efficiently than average or other methods for ranking, especially in the meaning of preference. Preference is essential for humankind for decision making. One of the measures is Coefficients of Preference in Ranking (CPR) as shown. | Yugoslav Journal of Operations Research 13 (2003), Number 2, 175-186 APPLYING COEFFICIENTS OF PREFERENCE IN RANKING (CPR)* Zoran RADOJI^I], Dragan VUKMIROVI], Nahod VUKOVI], Milo{ VOJINOVI] Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia and Montenegro zoran@ Communicated by Byron Papathanassiou Abstract: In marketing or medical research, especially in psychiatrics, it is very often necessary to define preference of examinees against defined object (persons, products, or phenomena). A question that is related to the object of preference is defined as like degree of like (positive preference) or as like degree of dislike (negative preference), where estimation is done as in scholar system (nominal or ordinal characteristics), with marks 1 through 5. Rank of objects achieved is very often expressed as average, which is not a good measure for realistic object ranking. In this paper, a coefficient of preference is presented as an effort to rank object more efficiently than average or other methods for ranking, especially in the meaning of preference. Preference is essential for humankind for decision making. One of the measures is Coefficients of Preference in Ranking (CPR) as shown. Keywords: Research, ranking, coefficient, preference. 1. INTRODUCTION Ranking of specific marks is very often done in a way that its results can cause serious consequences like entering exams, competitions, UN participation, medicine selection and many others. Ordinary ranking problem is based on: E = {e1 , e2 ,., en } - a group that has to be ranked, X = ( x1 , x2 ,., x p ) - criteria for a group E ranking. Group E has to be selected, as a smaller sub-group, based on realization of vector X on the group E . * Presented at 6th Balkan Conference on Operational Research 176 Z. Radoji~i}, D. Vukmirovi}, N. Vukovi}, M. Vojinovi} / Applying Coefficients of Preference There are two linked problems: 1. Ranking, 2. Selection. If p = 1 , which means