An empirical analysis of transitivity with four scaled preferential judgment modalities

In this paper 6 classes of weak fuzzy transitivity have been considered in a real decision problem: 200 students were asked twice about their future graduation trip, first taking into account only destination, and second considering prices, too. Each group of students compared trips by pairs, where intensities of preference could be shown by 4 linguistic labels represented by numbers from 0 to 1. The results have been analyzed in order to determine the influence of the numbers of alternatives and inherent attributes of the alternatives (destination and money) on the fulfillment of the 6 properties of fuzzy transitivity.Received: 18 February 2002, Accepted: 16 June 2003, JEL Classification: C91The financial support of the Junta de Castilla y León (Consejería de Educación y Cultura, Proyecto VA057/02) and the Spanish Ministerio de Ciencia y Tecnología, Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica (I + D + I) (Proyecto BEC2001-2253) and ERDF are gratefully acknowledged.     

A fuzzy-hybrid analysis of citizens’ perception toward immigrants in Europe

Quality & Quantity - The public and political debate about immigration now play a big role in all European elections, and there is a trend increasing an anti-immigrant sentiment that receives...     

Ranking participants in tournaments by means of rating functions

In this paper we bring a novel approach to the theory of tournament rankings. We combine two different theories that are widely used to establish rankings of populations after a given tournament. First, we use the statistical approach of paired comparison analysis to define the performance of a player in a natural way. Then, we determine a ranking (and rating) of the players in the given tournament. Finally, we show, among other properties, that the new ranking method is the unique one satisfying a natural consistency requirement.