On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices

The aim of the paper is to obtain some theoretical and numerical properties of Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices (PRM). In the case of 3 × 3 PRM, a differentiable one-to-one correspondence is given between Saaty’s inconsistency ratio and Koczkodaj’s inconsistency index based on the elements of PRM. In order to make a comparison of Saaty’s and Koczkodaj’s inconsistencies for 4 × 4 pairwise comparison matrices, the average value of the maximal eigenvalues of randomly generated n × n PRM is formulated, the elements aij (i < j) of which were randomly chosen from the ratio scale ... ... with equal probability 1/(2M − 1) and a ji is defined as 1/a ij . By statistical analysis, the empirical distributions of the maximal eigenvalues of the PRM depending on the dimension number are obtained. As the dimension number increases, the shape of distributions gets similar to that of the normal ones. Finally, the inconsistency of asymmetry is dealt with, showing a different type of inconsistency.

Through the kaleidoscope: media consumption patterns in the participatory cross-media era

The paper aims to identify actual media audiences of different mass- and non-mass media types through identifying those audience clusters consuming not different but differentiable media mixes. A major concern of the study is to highlight the transformation of mass media audiences when technology, digitalization and participation behaviors are able to reshape traditional audience forms and media diets, which may directly affect the traditional media value chain and in turn the thinking and decision making of media managers. Through such a kaleidoscope the authors examined media use and consumption patterns using an online self-reported questionnaire. They developed different media consumer clusters as well as media consumption mixes. Based on the results of the study the authors can state that internet use is today’s main base of media consumption, and as such it is becoming the real mass media, replacing television. However this “new” media has a completely different structure, being more fragmented with smaller audience reach. At the same time, television is keeping its audience. However, there are emerging segments self-reporting non- or light television viewing. This is how the question of the viewer-television relation among different television viewer clusters evolves. At the same time only gaming exhibited demographic differentiation of audiences based on gender.