×

Aggregation of fuzzy preferences: some rules of the mean. (English) Zbl 1069.91518

Summary: This paper studies by means of reciprocal fuzzy binary relations the aggregation of preferences when individuals show their preferences gradually. We have characterized neutral aggregation rules through functions from powers of the unit interval in the unit interval. Furthermore, we have determined the neutral aggregation rules that are decomposable and anonymous. In this class of rules, the collective intensity of preference is the arithmetic mean of the values assigned by a function to the individual intensities of preference. We have also considered the neutral aggregation rules based on quasiarithmetic means. We have established that this class of rules generalizes the simple majority, when individuals have ordinary preferences and collective preferences are reciprocal.

MSC:

91B08 Individual preferences
91B10 Group preferences
91B14 Social choice
PDFBibTeX XMLCite
Full Text: DOI Link