Generalized Bayesian inference in a fuzzy context: From theory to a virtual reality application

Authors:
Giulianella Coletti;Osvaldo Gervasi;Sergio Tasso;Barbara Vantaggi
Affiliations:
Dipartimento di Matematica e Informatica, University of Perugia, Italy;Dipartimento di Matematica e Informatica, University of Perugia, Italy;Dipartimento di Matematica e Informatica, University of Perugia, Italy;Dipartimento di Scienze di Base e Applicate per l'Ingegneria, University "La Sapienza", Roma, Italy
Venue:
Computational Statistics & Data Analysis
Year:
2012

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Abstract

A generalized Bayesian inference framework in order to embed fuzzy sets and partial probabilistic information is provided. The general framework of reference is that of coherent conditional probabilities, which allows giving a rigorous interpretation of membership function as a conditional probability, regarded as a function of the conditioning event. The inferential problem needs to be studied in situations where the prior can be partial; moreover, membership and prior can be given on different classes of events. This inferential model is applied for the virtual representation of a female avatar.