García-Lapresta, José Luis; Llamazares, Bonifacio Aggregation of fuzzy preferences: some rules of the mean. (English) Zbl 1069.91518 Soc. Choice Welfare 17, No. 4, 673-690 (2000). 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. Cited in 24 Documents MSC: 91B08 Individual preferences 91B10 Group preferences 91B14 Social choice PDFBibTeX XMLCite \textit{J. L. García-Lapresta} and \textit{B. Llamazares}, Soc. Choice Welfare 17, No. 4, 673--690 (2000; Zbl 1069.91518) Full Text: DOI Link